**Class 8 ICSE Maths Solutions Chapter 8 Profit Loss and Discount (Selina Concise)**

Welcome to NCTB Solutions. Here with this post we are going to help 8th class students for the Solutions of Selina Class 8 ICSE Math Book, Chapter 8, Profit, Loss and Discount. Here students can easily find step by step solutions of all the problems for Profit, Loss and Discount, Exercise 8A, 8B, 8C, 8D, 8E and 8F Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get chapter 8 solutions. Here in this post all the solutions are based on ICSE latest Syllabus.

**Profit, Loss and Discount Exercise 8(A) Solution :**

**Question no – (1) **

**Solution : **

Selling Price of 10 note-books,

= (4.75 × 10)

= 47.50 Rs.

**∴ **Gain

= (47.50 – 40)

= 7.50 Rs.

**∴** Gain %,

= (7.50/40 × 100)

= 18 3/4%

Therefore, her gain percent will be 18 3/4%.

**Question no – (2) **

**Solution : **

Let, number orange bought 12.

Cost Price of orange,

= (3/4 × 12)

= 16 Rs

Selling, Price of oranges,

= (4/3 × 12)

= 9 Rs

Profit,

= (16 – 9)

= 7 Rs

Profit %,

= (7/9 × 100)%

= 77 7/9%

Hence, his profit percent will be 77 7/9%.

**Question no – (3) **

**Solution : **

L.C.M of 15, 12 is 60

Let, articles bought 60,

Now, the Cost Price of articles,

= (60× 112.50/15)

= 450 Rs

**∴** Selling Price of articles

= (108/12 × 60)

= 540 Rs

**(i)** Gain,

= (540 – 450) Rs

= 90 Rs

**∴** Gain%

= (90/450 × 100)

= 20%

**(ii)** To make profit Rs 75 the number of articles needed to be sold

= (60/90 × 75)

= 50

Thus, 50 articles need to be sold.

**Question no – (4) **

**Solution : **

Cost Price of bicycles,

= (162 + 18)Rs

= 180 Rs

Selling Price = 207 Rs

Profit,

= (207 – 162)

= 45 Rs

**∴** Gain %,

= (45/180 × 100)

= 25%

Therefore, his gain percent will be 25%

**Question no – (5) **

**Solution : **

Total Cost Price,

= (4800 + 1200)

= 6000 Rs

Selling Price = 5820 Rs

**∴** Loss,

= (6000 – 5820)Rs

= 180 Rs

**∴** Loss%,

= (180/6000 × 100)

= 3%

Therefore, his loss percent will be 3%

**Question no – (6) **

**Solution : **

As per the given question,

Selling Price = 3600

**(i)** Gain,

= (3600 × 1/6)

= 600 Rs

**(ii)** Cost Price,

= (3600 – 600)

= 3000 Rs

**(iii)** Gain %,

= 600/3000 × 100

= 20%

**Question no – (7) **

**Solution : **

According to the given question,

Selling Price = 5500

**∴** Loss = (1/10 × 5500)

= 550 Rs

**∴** Cost Price = (5500 + 550)

= 6050 Rs

**∴** And Loss %,

= 550 × 100/6050

= 9 1/11%

**Question no – (8) **

**Solution : **

Let, Cost Price = 1

**∴** Selling Price,

= 1 × 4/5

= 4/5

**∴** Loss,

= 1 – 4/5

= 1/5

**∴** Loss %,

= (1/5/1 × 100)

= 20%

Therefore, the loss percent will be 20%.

**Question no – (9) **

**Solution : **

Let, Selling Price = 1

Cost Price = 1 × 4/5

= 4/5

**∴** Gain,

= 4 – 4/5

= 1/5

**∴** Gain %,

= 1/5/4/5 × 100

= 25%

Therefore, the gain percent will be 25%.

**Question no – (10) **

**Solution : **

Let, Cost Price of goods = 100 Rs

Selling Price = 80 Rs

**∴** Loss,

= (100 – 800

= 20 Rs

**∴** Loss %,

= (20/100 × 100)

= 20%

Therefore, his loss percent will be 20%.

**Question no – (11) **

**Solution : **

Let, Selling Price = 100 Rs

Cost Price = 90 Rs

**∴** Gain = 10 Rs

**∴** Gain %

= (10/90 × 100)

= 11 1/9%

Therefore, loss percent will be 11 1/9%.

**Question no – (12) **

**Solution : **

Let, Selling Price = 100 Rs

30% of Selling Price = 30 Rs

Cost Price = (100 – 30)

= 70 Rs

Profit = 30

Now, the Profit %,

= (30/70 × 100)

= 42 6/7%

Therefore, the profit percent will be 42 6/7%

**Question no – (13) **

**Solution : **

As per the given question,

Cost Price of 300 eggs,

= (300 × 80)

= 24000 p

= 240 Rs

After broken remaining eggs,

= (300 – 30)

= 270

**∴** Selling Price of eggs = (270 × 10)

= 270 Rs

Now, his Gain,

= (270 – 240)

= 30

**∴** His Gain %,

= (30/240 × 100)

= 12.5%

Therefore, shopkeepers gain percent will be 12.5%.

**Question no – (14) **

**Solution : **

Loss = x/10

= 9x/10 Rs

**∴** 9x/10 = 405

= x = 405 × 10/9

= 450 Rs

**∴** Cost Price = 450 Rs ….(i)

**(ii)** First, the Loss = 450/10

= 45 Rs

**∴** Now the Loss %

= (45/450 × 100)

= 10%

**Question no – (15) **

**Solution : **

Let, Cost Price = x Rs;

Selling Price = (x + x/9) Rs

= 10x/9 Rs

**∴** 10x/9 = 250

= x = 9 × 250/10

= 225 Rs

**∴** Cost Price of radio 225 Rs.

**(ii)** Profit = x/9

= 225/9

= 25

**∴** Now the Profit %,

= (25/225 × 100)

= 11 1/9%

**Profit, Loss and Discount Exercise 8(B) Solution :**

**Question no – (1) **

**Solution : **

**(i)** As per the question,

C.P. = 950

profit = 8%

S.P = ?

**∴** S.P = 950 × 8/100

= 1026 Rs

Hence, the selling price will be Rs. 1026.

**(ii) **According to the question,

C.P. = 1300

Loss = 13%

S.P = ?

**∴** S.P = 1300 × 87/100

= 1131 Rs

Thus, the selling price will be 1131 Rs

**Question no – (2) **

**Solution : **

**(i)** In the given question,

S.P = 1680

Profit = 12%

C.P = ?

**∴** C.P = (100/112 × 1680)

= 1500 Rs

Therefore, the cost price is 1500 Rs.

**(ii) **As per the given question,

S.P = 1128

Loss = 6%

C.P = ?

**∴** C.P = (100/94 × 1128)

= 1200 Rs

Therefore, the cost price will be 1200 Rs.

**Question no – (3) **

**Solution : **

Given in the question,

S.P = 900

Gain percent = 20%

C.P = ?

Gain = ?

**∴** C.P = (100/120 × 900)

= 750 Rs

**∴** Gain = (900 – 750)

= 150 Rs

Thus, his cost price will be Rs. 750, gain is Rs. 150.

**Question no – (4) **

**Solution : **

According to the given question,

S.P = 704

Losses = 12%

C.P = ?

Loss= ?

**∴** C.P = (100/88 × 704)

= 800 Rs

**∴** Loss = (800 – 704)

= 96 Rs

Therefore, his cost price is Rs. 800 and the loss is 96.

**Question no – (5)**

**Solution : **

**(i)** Given in the question we get,

C.P. = Rs 352

Overheads = Rs 28

Profit = 20%

S.P = ?

Total Cost Price,

= (352 + 28)

= 380 Rs

Profit = 20%

**∴** S.P = (120/100 × 380)

= 456 Rs

Therefore, the selling price is 456 Rs.

**(ii) **As per the given question,

C.P. = 5s

Overheads = 44 and

loss = 16%.

S.P = ?

Total C.P = (576 + 44)

= 620 Rs

Loss = 16%

**∴** S.P = (84/100 × 620)

= 520.80 Rs

Therefore, the selling price is Rs. 520.80

**Question no – (6) **

**Solution : **

Given in the question,

S.P = 637

Loss = 9%

**∴** C.P = (100/91 × 637)

= 700 Rs

After profit 5%, SP,

= (105/100 × 700)

= 735 Rs

Therefore, It should be sold at 735 Rs.

**Question no – (7) **

**Solution : **

According to the question,

S.P of radio-set = 605

Gain = 10%

**∴** C.P = (100/110 × 605)

= 550 Rs

And, C.P = 550; Gain = 16%

**∴** S.P = (116/100 × 550) Rs

= 638 Rs

Therefore, It should sold at 638 Rs.

**Question no – (8) **

**Solution : **

At **1st,** S.P of sofa set = 2500

Loss = 20%

CP = (100/80 × 2500)

= 3125

In **2nd,** S.P. of sofa-set = 3150

CP of sofa-set = 3125

Now his Gain,

= (3150 – 3125)

= 25

**∴** His Gain%,

= (25/3125 × 100)

= 0.8%

Therefore, his profit percent will be 0.8%

**Question no – (9) **

**Solution : **

**1st,** tape recorder, S.P. = 990 Rs

Gain = 10%

C.P = (100/110 × 990) Rs

= 900 Rs

In 2nd, tape recorder,

S.P = 990;

Loss = 10%

C.P = (100/90 × 990)

= 1100 Rs

Total C.P of tape recorder,

= (1100 + 900)

= 2000

Total S.P of tape recorder,

= (990 + 990)

= 1980 Rs

**∴** Loss,

= (2000 – 1980)

= 20 Rs

**∴ **Loss %,

= (20/2000 × 100)

= 1%

Therefore, Mr. Sinha loss percent will be 1%

**Question no – (10) **

**Solution : **

As per the given question,

**(i)** C.P. tape-recorder,

= 100 × 2760/115

= 2400

**(ii)** S.P. of CD player = 3240

C.P. = (100/90 × 3240)

= 3600 Rs

Total C.P. = (2400 + 3600)

= 6000

Total S.P.= (2760 + 3240)

= 6000 Rs

C.P. = S.P.

There is no gain or no loss in transaction.

**Question no – (12) **

**Solution : **

As per the question we know,

Mohan paid = 912 Rs

For peter, SP = 912 Rs

Loss = 5%

C.P = (100/95 × 912)

= 960

Now for John,

S.P = 960

Profit = 20%

C.P = (100/120 × 960)

= 800 Rs

Therefore, John paid for article 800 Rs.

**Profit, Loss and Discount Exercise 8(C) Solution :**

**Question no – (1) **

**Solution : **

Here, Cost Price of 1 pen = 28/5

= 5.60

Profit = 25%

**(i)** **∴ **Selling Price of 1 pen,

= (125/100 × 5.60)

= 7 Rs.

**(ii)** **∴** Selling Price of 3 pens,

= (3 × 7)

= 21 Rs.

Hence, the Selling Price of 1 pen 7 Rs and 3 pen 21 Rs.

**Question no – (2) **

**Solution : **

S.P of 1 orange = 3/4

Gain = 50%

S.P = C.P × 150/100

C.P of 10 orange

= 100 × SP/150

= 100 × 3/4/100

= 1/2

**(i)** **∴** C.P of 4 orange = 4/2

= 2

**(ii)** **∴** C.P of 1 orange = 1/2

**(iii)** **∴** S.P of 1 orange = 3/4

**(iv)** **∴** In gain is Rs 24, no of oranges,

= 1/1/4 × 24

= 1/1× 4 × 24

= 96

Therefore, the number of oranges will be 96.

**Question no – (3) **

**Solution : **

As per the question we know,

S.P of 12 articles = 80

33 1/3% gain = 100/3%

C.P = 100/100 + 100/3 × 80

= 100/300 + 100 × 80

= 100 × 3/400 × 80

= 60 Rs

Rs 60 is the C.P of 12 articles.

Rs 90 is the C.P of 12 articles,

= (12/60 × 90)

= 18 article.

Hence, the number of article will be 18 article.

**Question no – (4) **

**Solution : **

Here, C.P of 20 articles = S.P of 10 articles.

C.P of 16 article = Rs 16

S.P of 16 articles = 20 Rs

**∴** Gain = (20 – 16)

= 4 Rs

**∴** Gain % = 4/16 × 100

= 25%

Therefore, the gain percent will be 25%

**Question no – (6) **

**Solution : **

Here, Let, C.P of 1 pen = 1

Cost Price of 8 pens = 8

**∴** Loss % = (2/8 × 100)

= 25%

Hence, his loss percent will be 25%.

**Question no – (7) **

**Solution : **

After 12% profit,

Cost Price,

= (112/100 × 4500)

= 5040 Rs

Cost Price of 1/3rd of rice,

= (1/3 × 4500)

= 1500 Rs

Gain 10%

Selling Price on 1/3rd,

= (110/100 × 1500)

= 1650 Rs

Remaining cost price,

= (4500 – 1500)

= 3000 Rs

Remaining Selling Price,

= (3390 – 3000)

= 390 Rs

Now, the Gain %

= (390/3000 × 1000

= 13%

**∴ (i)** Selling Price of rest of rice = 339 Rs

**∴ (ii)** % profit on rest = 13%

**Question no – (8) **

**Solution : **

After gain, S.P of the books,

= (110/100 × 600)

= 660 Rs

1/4 sold then C.P of 1/4th,

= (1/4 × 600)

= 150 Rs

Loss = 5%

Now the S.P of books,

= (95/100 × 150)

= 142.50 Rs

Now, C.P of the remaining note books,

= (600 – 150)

= 450 Rs

S.P of the same books,

= (660 – 142.50)

= 517.50 Rs

**Question no – (9) **

**Solution : **

Let, C.P of watch = 100

5% profit, S.P = 105

And, 11% profit, S.P = 111

Difference of S.P,

= (111 – 105)

= 6

Now, watch sold for Rs 24 more, the C.P of watch,

= (100/6 × 24)

= 400 Rs

Therefore, the cost price of the watch will be 400 Rs.

**Question no – (10) **

**Solution : **

Let, C.P of bicycle = 100

For 5% profit, S.P = 105

**2nd,** case C.P,

= (100 – 30/100 × 100)

= 70

After 305 profit, S.P,

= (70 + 70 × 30/100)

= 91 Rs

Two selling price difference,

= (105 – 91)

= 14 Rs

Now, if the difference 63 Rs then C.P of the bicycle,

= (100/14 × 63)

= 450 Rs

Therefore, the cost price of the bicycle was 450 Rs.

**Question no – (11) **

**Solution : **

Let, C.P = 100

Case I, After loss 8%,

S.P = 92 Rs

Case II, CP = (100 – 100 × 10/100)

= 90 Rs

After 20% profit, S.P,

= (120/100 × 90)

= 108 Rs

Difference of two selling price

= (108 – 92)

= 16 Rs

Now, it the difference 36 Rs then C.P,

= (100 × 36/16)

= 225 Rs

Therefore, the cost price of the article is 225 Rs.

**Profit, Loss and Discount Exercise 8(D) Solution :**

**Question no – (1) **

**Solution : **

As per the given question,

M.R.P = 1300

S.P = 1144

Discount,

= (1300 – 1144)

= 156 Rs

**∴** Discount %,

= (156/1300 × 100)

= 12%

Therefore, the discount percent will be 12%.

**Question no – (2) **

**Solution : **

According to the given question,

M.R.P = 23,600

Discount = 8%

**∴** Selling Price

= 23600 × 92/100

= 21,712 Rs

Thus, its selling price is 21,712 Rs.

**Question no – (3) **

**Solution : **

Here, List-price of watch = 1400 Rs

Discount = 9%

**∴** Discount,

= (1400 × 9/100)

= 126 Rs

**∴** S.P = (1400 – 126)

= 1274 Rs

Therefore, the discount will be 126 Rs and selling price will be 1274 Rs.

**Question no – (4) **

**Solution : **

As per the question we know,

S.P of article 248.50

Discount = 10%

Let, M.R.P = 100

Discount = 10 Rs

**∴** S.P = (100 – 10)

= 90 Rs

If, S.P 90 then list price 100 Rs

**∴** S.P 248.50 then list price

= 100 × 248.50/90

= 276.11 Rs (approx.)

Hence, list price of the article will be 276.11 Rs (approx.)

**Question no – (5) **

**Solution : **

Given, Cost Price of article = 450 Rs

**(i)** M.R.P = (120/100 × 450)

= 540 Rs

**(ii)** Discount,

= (10/100 × 540)

= 54 Rs

Selling Price = (540 – 540

= 486 Rs

**(iii)** S.P = 496.80 (gain)

**∴** Discount,

= (9540 – 496.800)

= 43.20 Rs

**∴** Discount %,

= (43.20/540 × 100)

= 8%

**Question no – (6) **

**Solution : **

According to the question,

List price = 800

D = 15%

**∴** Discount,

= (800 × 15/100)

= 120 Rs

**(i)** Selling Price,

= (800 – 120)

= 680

**(ii)** If profit 13 1/3% 40/3% then,

C.P = (100/100 + 40/3 × 680)

= 100/340/3 × 680)

= (3/340 × 100 × 680)

= 600 Rs

Therefore, the cost price of the article will be 600 Rs

**Question no – (7) **

**Solution : **

As per the question,

M.P = 2250 Rs

**(i)** Selling Price,

= (2250 × 88/100)

= 1980 Rs

∴ The selling price of the article will be 1980 Rs.

**(ii)** Profit = 10%

**∴** Cost Price,

= (100/110 × 1980)

= 1800 Rs

**∴** The cost price of the article for the dealer will be 1800 Rs.

**Question no – (8) **

**Solution : **

Selling Price of article = 1440 Rs

Let, MRP 100x

Discount = 20%

**∴** Selling Price = 100x × 80/100

= 80x

**∴** 80x = 1440

= x = 1440/80

= 18

**∴** MRP = (100 × 18)

= 1800 Rs

**∴** The marked price of the article will be 1800 Rs

Selling Price = 1440

P = 25%

Now, Cost Price of the article,

= (100 × 1440/125)

= 1152 Rs

**∴** The cost price of the article will be 1152 Rs

**Question no – (9) **

**Solution : **

Let, Cost Price = 100

MP = (100 + 30)

= 130 Rs

Discount = 10%

**∴** D = 130 × 10/100

= 13 Rs

Selling Price = (130 – 13)

= 117 Rs

**∴** His Gain,

= (117 – 100)

= 17 Rs

**∴** His Gain %,

= (17/100 × 100)

= 17%

Therefore, gain percent of shopkeeper will be 17%.

**Question no – (10) **

**Solution : **

Cost Price of dress = 400 Rs.

Profit = (400 × 20/100)

= 80

**∴** Selling Price,

= (400 + 80)

= 480 Rs

Let, MP = 100 Rs

Discount = 20%

**∴** Discount = 20 Rs

S.P = (100 – 20)

= 80 Rs

If SP of dress Rs 80, the MP = 100

If SP of dress Rs 480, the MP,

= (100/80 × 480)

= 600 Rs

Therefore, marked price of the dress will be 600 Rs.

**Question no – (12) **

**Solution :**

According to the given question,

Cost price = 2400 Rs

MRP = (2400 × 125/100)

= 3000 Rs

After 15% discount, SP

= (3000 × 85/100)

= 2550 Rs

**∴** Now the Profit,

= (2550 – 2400)

= 150 Rs

**∴** Profit percent (%)

= (150/2400 × 100)

= 25/4%

= 6 1/4%

Therefore, the profit will be 150 Rs and the profit percent will be 6 1/4%

**Question no – (13) **

**Solution : **

Here, cost price of 1 article = 450

Cost price of 30 article,

= (30 × 450)

= 13500

Cost Price of 1/3 article,

= (450 × 30/3)

= 4500 Rs.

Loss = 6%

Selling Price of 10 articles,

= 4500 × (100 – 6)/100

= 4230 Rs.

Remaining article cost price,

= (14850 – 4230)

= 10620

**∴** Selling Price of 1 article,

= 10620/20

= 531 Rs

Therefore, each article need to sold at 531 Rs.

**Question no – (14) **

**Solution : **

Let, MP of an article = 100

Cost Price,

= 100 × 75/100

= 75

D = 15%

Selling Price,

= (100 – 15)

= 85

**(i)** MRP

= (2400 × 100/75)

= 3200 Rs

**(ii)** Selling Price,

= (3200 × 100/75)

= 2720

**(iii)** Profit,

= (2720 – 2400)

= 320 Rs

Now the Profit percent (%),

= (320 × 100/2400)

= 40/3%

Therefore, the profit percent will be 40/3%

**Question no – (15) **

**Solution : **

**(i) 20% and 12%**

Let, MP = 100 Rs

D = 20%,

D₂ = 12%

(a + b – ab/100)

= (20 + 12 – 20 × 12/100)

= 32 – 204/100

= (32 – 2.4)

= 148/5 Rs discount,

**(ii) 10%, 20% and 20%**

Successive discount 10%, 20%, 20%

Selling Price = 100 × (100 – 10) × (100 – 20) × (100 – 20)/100 × 100 × 100

= 100 × 90 × 80 × 80/100 × 100 × 100

= 576/10

∴ Total discount = 100 – 576/10

= 100 – 576/10

= 424/10

= 42.4%

**(iii) 20%, 10% and 5%**

Successive discounts = 20%, 10%, 5%

MP = 100 (LET)

Selling Price

= 100 × (100 – 20) (100 – 10) (100 – 5)/ 100 × 100 × 100

= 100 × 80 × 90 × 95/100 × 100 × 100

= 342/5

Total discount,

= (100 – 342/5)

= 500 – 342/5

= 158/5

**∴** Single discount,

= 158/5%

= 31.6%

**Question no – (16) **

**Solution : **

**(i) 80% and 80%**

Let, MP = 100 Rs

Single discount of two successive discount

= 80 = 80 – 80 × 80/100

= 160 – 64

= 96%

**(ii) 60% and 60%**

Now, single of two successive discount

= 60 + 60 – 60 × 60/100

= (120 – 36)

= 84%

**∴** Single discount 84%

**(iii) 60% and 80%**

Single discount of two successive discount,

= 60 + 80 – 60 × 80/100

= (140 – 48)

= 92%

Therefore, the single discount will be 92%

**Profit, Loss and Discount Exercise 8(E) Solution :**

**Question no – (1) **

**Solution : **

As per the given question,

Cost price = 540 Rs

Rate of tax = 8%.

**∴** Total amount paid by Rajat,

= (540 + 540 × 8/100)

= 583.2 Rs

Thus, total amount paid by Rajat for the watch will be 583.2 Rs.

**Question no – (2) **

**Solution : **

Given, Cost price = 3,840 Rs

Tax = 345.60 Rs

**∴** Percent of sale tax,

= 345.60 × 100/3840

= 9%

Therefore, the rate of tax will be 9%.

**Question no – (3) **

**Solution : **

According to the question,

Price of a washing machine = 13,530 Rs

Tax = 6%

**∴** Cost price,

= (13530 × 100/110)

= 12,300 Rs

Therefore, the cost price of the washing machine will be 12,300 Rs.

**Question no – (4) **

**Solution : **

As per the question,

Cost Price of biscuits = 158 Rs

Tax 6% = (158 × 6/100)

= 9.48 Rs

**∴** Total price = (158 + 9.48)

= 167.48 Rs

Cost Price of cosmetic goods = 354 Rs

**∴** Tax 9% = (354 × 9/100)

= 31.86 Rs

Therefore, the total amount paid by Sarita will be 31.86 Rs.

**Question no – (5) **

**Solution : **

Selling Price of set = 13,407 Rs

Tax = 9%

Let, MRP = x

**∴** Selling Price = x + 9x/100 = 13407

= 100x = 9x/100 = 13407

= 109x/100 = 13407

= x = 100 × 13407/109

= 12300 Rs

**∴** MRP = 12300 Rs

**∴** Its marked price will be 12300 Rs

Now, Tax = 13%

= (12300 × 13/100)

= 1599125

**∴** Selling Price,

= (12300 + 1599)

= 13,899 Rs

**∴** Discount of SP,

= (13899 – 13407)

= 492 Rs

Therefore, the discount on selling price will be 492 Rs.

**Question no – (6) **

**Solution : **

Let, list price = x

Sales tax = x × 10/100

= x/10

**∴** Selling Price = x + x/10

= 11x/10

11x/10 = 8250

= x = 8250 × 10/11

= 7500 Rs

**(i)** Rate of sale tax = 15%

Selling Price = 7500 × 115/100

= 8625 Rs

Increases = (8625 – 8250)

= 375 Rs

**(ii)** Tax = 6%

Selling Price = (7500 × 106/100)

= 7950

**∴** Customer will pay,

= (8250 – 7950)

= 300 Rs

**(iii)** Sale tax = (10 + 2)

= 12%

Selling Price,

= 7500 × 112/100)

= 8400 Rs

**∴** Customer pay,

= (8400 – 8250)

= 150 Rs

**(iv)** Sale tax rate = (10 – 3) = 7%

Selling Price = 7500 × 107/100

= 8025 Rs

**∴** Customer pay less,

= (8250 – 8025)

= 225 Rs

**Question no – (7) **

**Solution : **

In the given question,

Selling Price of bicycle = 1664

List Price = 1600

**∴** Tax = (1664 – 1600)

= 64 Rs

Sales tax rate,

= 64 × 100/1600

= 4%

**∴** New sale tax,

= (4 + 6)

= 10%

Amount of sales tax,

= 1600 × 10/100

= 160 Rs

**∴** Now the selling price,

= (1600 + 160)

= 1760 Rs.

**Question no – (8) **

**Solution : **

Distance of sales tax,

= (9 – 6)

= 3%

**∴** List price of TV,

= 780 × 100/3

= 26000 Rs

Therefore, the list price of the T.V will be 26000 Rs.

**Question no – (9) **

**Solution : **

Given, Sales tax = 10%

**∴** Actual price,

= 21384 × 100/110

= 19440

Again rate of sale tax = 8%

Selling Price = (19440 × 108/100)

= 20995.20

**∴** Profit = (21384 – 20995.20)

= 388.80 Rs

Therefore, the extra profit made by the dealer is 388.80 Rs.

**Profit, Loss and Discount Exercise 8(F) Solution :**

**Question no – (1) **

**Solution : **

**(i)** Intra state transactions

Rate = 12/2 = 6%

**∴** CGST = 16000 × 6/100

= 960

**∴** SGST = 16000 × 6/100

= 960 Rs

**∴** Amount of bill,

= (16000 + 960 + 960)

= 17920 Rs

**(ii)** Inter-state transaction,

= (16000 × 12/100)

= 1920 Rs

**∴** Taxable cost of goods,

= (16000 + 1920)

= 17920 Rs

**Question no – (2) **

**Solution : **

As per the given question,

Cost Price = 25000

GST = 5%

**∴** John will pay,

= (25000 + 25000 × 5/100)

= 25000 + 1250

= 26250 Rs

Therefore, John will pay total 26250 Rs.

**Question no – (3) **

**Solution : **

Given, Cost of transaction = 30,000 Rs

And, discount is = 30%

= (30000 × 30/100)

= 9000 Rs

**∴** (30000 – 9000) Rs

= 21,000 Rs

Given, GST = 28%

**∴** (21,000 × 28/100)

= 5880 Rs

**∴** Now the Amount will be,

= (21000 + 5880)

= 26880 Rs.

Therefore, the amount of bill will be 26880 Rs.

**Question no – (4) **

**Solution : **

**(i) **Cost of services = Rs 5,000, discount = 20% and GST = 12%

Cost of services = 5000 Rs

D = 20%;

GST = 12%

∴ (5000 × 20/100)

= 1000 Rs

**∴** (5000 – 1000)

= 4000 Rs

Given GST = 12%

So, (4000 × 12/100)

= 480 Rs

**∴** Amount = (4000 + 480)

= 4480 Rs

**(ii) Cost services = Rs 12,500, discount = 40% and GST = 18%**

Cost services = 12500 Rs

D = 40%

Discount = (12500 × 40/100)

= 5000 Rs

**∴** (125000 – 5000)

= 7500 Rs

GST = 18%

**∴** GST = (7500 × 18/100)

= 1350 Rs

**∴** Amount = (7500 + 1350)

= 8850 Rs

**Question no – (6) **

**Solution : **

**(i) 40 articles for Rs 800 each at 30% discount**

**∴** Total price,

= (40 × 800)

= 32000 Rs

Discount = 30%

**∴** Discount,

= (32000 × 30/100)

= 9600 Rs

(32000 – 9600)

= 22400 Rs

**(ii) 75 articles for Rs 1,000 each at 20% discount.**

Price = (75 × 1000)

= 75000 Rs

D = 20%

= (75000 × 20/100)

= 15000 Rs

Paid = (75000 – 15000)

= 60,000 Rs

**∴** Total Amount,

= (60,000 = 22400)

= 82400 Rs

GST = 12%

**∴** Amount = (82400 + 82400 × 12/100)

= (82400 + 9888)

= 92288 Rs.

Therefore, the dealer at Mumbai pays 92288 Rs to dealer in Bihar.

**Next Chapter Solution : **

👉 Chapter 9 👈