Rd Sharma Solutions Class 8 Chapter 13 Profit Loss Discount and Value Added Tax (Vat)
Welcome to NCTB Solution. Here with this post we are going to help 8th Class students for the Solutions of RD Sharma Class 8 Mathematics, Chapter 13, Profit Loss Discount and Value Added Tax (Vat). Here students can easily find Exercise wise solution for chapter 13, Profit Loss Discount and Value Added Tax (Vat). Students will find proper solutions for Exercise 13.1, 13.2 and 13.3 Our teacher’s solved every problem with easily understandable methods so that every students can understand easily.
Profit Loss Discount and Value Added Tax (Vat) Exercise 13.1 Solution :
Question no – (1)
Solution :
1st, Gain,
= 100 – 90
= 10
Now, Gain percent (%),
= 100 × 10/90
= 100/9
= 11 1/9 %
Therefore, his gain will be 10 Rs and gain percent will be 11 1/9%.
Question no – (2)
Solution :
Given, Cost Price = 1240 Rs.
And, Selling Price = 1147 Rs.
1st, we find his Loss,
= 1240 – 1147
= 93 Rs
Now, His loss percent (%),
= 93/1240 × 100
= 15/2
= 7 1/2%
Hence, his loss will be 93 Rs and loss percent will be 7 1/2%.
Question no – (3)
Solution :
Given, Cost Price of 9 apples = 9.60
∴ Cost Price of 1 apples
= 9.60/9
= 1.06
∴ CP of 11 apples
= 1.06 × 11
= 11.66
Selling Price of 11 apples = 12.00
∴ Gain = Selling Price – Cost Price
= 12.00 – 11
= 11.66
∴ Gain Percent (%)
= 0.34 × 100/11.66
= 2.91%
Question no – (4)
Solution :
Cost Price of 1 articles = x
∴ Cost Price of 10 articles = 10x = SP of 9 articles
CP of 9 articles = 9x
Profit = Selling Price – Cost Price
= 10x – 9x
= x
Profit percent (%)
= x/9x × 100
= 100/9
= 11 1/9%
Therefore, the profit percent will be 11 1/9%
Question no – (5)
Solution :
Cost Price of radio = 225
Expenses,
= 225 + 15
= 240 Rs
Selling Price of radio = 300
Profit,
= 300 – 240
= 60 Rs
Profit percent (%),
= 60/240 × 100
= 25%
Therefore, his profit percent will be 25%
Question no – (6)
Solution :
Cost Price of cooler = 1200
Expenses,
= 1200 + 40
= 1240
Selling Price of cooler = 1550
∴ Profit,
= 1550 – 1240
= 310
∴ Profit percent (%),
= 310 × 100/1240
= 25%
Therefore, his profit percent will be 25%.
Question no – (7)
Solution :
Cost Price of wristwatch = 225
Spend for repair,
= 225 + 15
= 240
Selling Price of wristwatch = 300
∴ Profit
= 300 – 240
= 60
∴ Profit%
= 60 × 100/240
= 25%
Therefore, His profit percent will be 25%.
Question no – (8)
Solution :
Cost Price of 2 box = 1300
Let, Cost Price of box = x
∴ Cost Price of Box₂ = (1300 – x)
For, Box₁
Loss = 20%
∴ Selling Price of Box₂ = 120x/100
For, Box₂
Loss = 12%
∴ Selling Price of Box₂ (1300 – x) × 88/100
According to question,
120x/100 = (1300 – x) × 88/100
or, 120x = 88(1300 – x)
or, 120x/88 = (1300 – x)
or, 15x + 11x = 14300
or, 26x = 1300 × 11
or, x = 1300 × 11/26 = 550
∴ Cost Price of Box₁ = 550
∴ Cost Price of Box₂ = 1300 – 550
= 750 Rs.
Therefore, the cost price of the each box will be 550 Rs and 750 Rs.
Question no – (10)
Solution :
Let, CP of 1 chairs = x
∴ Cost Price of 18 chairs = 18x – Selling Price of 16 chairs
∴ Cost Price of 16 chairs = 16x
∴ Gain = SP – CP = 18x – 16x
∴ Gain% = 2x/18x × 100
= 100/9
= 11 1/9%
Therefore, the gain percent will be 11 1/9%
Question no – (11)
Solution :
Let Cost Price of 1 oranges = x
Cost Price of 16 oranges = 16x – Selling Price of 18 oranges
Cost Price of 18 oranges = 18x
Loss = 18x – 16x = 2x
Loss% = 2x/18x × 100
= 11 1/9%
Therefore, the loss percent will be 11 1/9%
Question no – (12)
Solution :
Let, the CP of motorcycle = x
The SP of motorcycle = 72x/100
With expense CP from Vineet
= 72x/100 + 1680
= 0.72x + 1680
Profit for this selling = 12.5%
∴ SP from Vineet to Rahul
= (0.72x + 1680) × 112.5/100
According to question,
(0.72x + 1680) × 112.5/100 = 35910
or, (0.72x × 112.5) + 189000 = 3591000
or, 0.72x × 112.5 = 3591000 – 189000 = 3402000
or, x = 3402000/0.72 × 112.5
= 3402000/81
= 42000
Therefore, the cost price of the motor cycle for Ravish is 42000.
Question no – (13)
Solution :
Selling Price of book = 258
gain = 20%
Cost Price of book,
= 258 × 100/120
= 215
When, gain 30%
∴ Selling Price of book,
= 215 × 130/100
= 279.5 Rs.
Therefore, he should sell the book for 279.5 Rs.
Question no – (14)
Solution :
Cost Price of briefcase = 800
∴ reduce price = 5%
∴ New price,
= 800 × 95/100
= 760 Rs.
Now, Loss = 8%
∴ Selling Price
= 760 × 92/100
= 699.20 Rs.
Therefore, the selling price of the briefcase will be 699.20 Rs.
Question no – (15)
Solution :
Selling Price of 90 ball pen = 160
∴ Selling Price of 1 ball pen = 16/90 = 16/9
Loss = 20%
∴ CP of 1 ball pen = 16/9 × 100/80
= 16/9 × 100 × 1/80
= 20/9
Again gain = 20%
∴ Selling Price of 1 ball pen,
= 20/9 × 120 /100
= 20/9 × 120 × 1/100
= 24/9
= 8/3
∴ Number of ball pen in 8/3 = 1
∴ Number of of ball pen in 96
= 96/(8/3)
= 96 × 3/8
= 36
Therefore, 36 ball pen should sell in 96 Rs.
Question no – (16)
Solution :
Let, CP of article = x
Profit = 25%
∴ SP of article = 125x/100 = 5x/4
If less 20% of CP,
∴ CP₁ = x – 20x/100 = 100x – 20x/100
= 80x/100 = 4x/5
∴ SP₁ = 5x – 36.75
∴ Profit% = SP₁ – CP₁
= 5x/4 – 36.75 – 4x/5
= 5x/4 – 4x/5 – 36.75
= 9x/20 – 36.75
∴ Profit% = (9x/20 – 36.75) × 100/4x/5
According to question,
(9x/20 – 36.75)/4x/5 = 30/100
or, (9x/20 – 36.75) = 30/100 × 4x/5 = 6x/25
or, 45x – 24x/100 = 3675/100
or, 21x = 3675
or, x = 3675/21
= 175
Question no – (17)
Solution :
We know, 1 kg = 1000 gm
∴ He gain = (100 – 950) = 50 gm
∴ He sells 950 gm pulses getting a gain of = 50 gm
∴ He sells 950 gm pulses getting a gain of = 50/950 × 100
= 100/19
= 5 5/15%
Therefore, his gain percent is 5 5/15%.
Question no – (18)
Solution :
Let, CP of table₁ = x
∴ CP of table₂ = 3120 – x
∴ SP of table₁ = 85x/100
∴ SP of table₂ = (3120 – x) × 136/100
According to question,
85x/10 = 93120 – x) × 136/100
or, 58x = 424320 = 136x
or, 136x + 85x = 424320
= 221x = 424320
= x = 424320/221
= 1920
∴ CP of table₁ = 1920
∴ CP of table₂ = (3120 – 1920)
= 1200 Rs.
Therefore, the cost price of each table will be Rs 1920 and Rs 1200.
Question no – (19)
Solution :
Let, Cost Price of fan₁ = x
Cost Price of fan₂ = (3605 – 5)
Selling Price of fan₁ = 115x/100
Selling Price of fan₂ = (3605 – x) × 91/100
According to question,
115x/100 = 91 (3605 – x)/100
or, 115x = 328055
or, 206x = 328055
or, x = 328055/206
= 1592.50
∴ Cost Price of fan₁ = 1592.50
∴ Cost Price of fan₂ = (3605 – 1592.50)
= 2012.50 Rs.
Therefore, the cost price of each fan will be Rs 1592.50 and 2012.50 Rs.
Question no – (20)
Solution :
Cost Price of toffee = 10
Cost Price of 1 toffee = 10/11
Again, Cost Price of 9 toffee = 10
∴ x of 1 toffee = 10/9
∴ Total Cost Price of (1 + 1) = 2 toffee
= (10/11 + 10/9)
= 90 + 110/99
= 200/99
∴ Total Cost Price of 1 toffee
= 200/99 × 2
= 100/99
∴ when SP of 1 toffee = 1
∴ Loss = 100/99 – 1
= 100 – 99/99
= 1/99
∴ Loss% = (1/99)/(100/99) × 100
= (1 × 99)/(99 × 100) × 100
= 1%
Question no – (21)
Solution :
Let, Cost Price of tricycle = x
Profit = 16%
∴ Selling Price₁ of tricycle = 116x/100
Again profit = 20%
∴ Selling Price₂ of tricycle = 120x/100
According to question –
120x/100 = 116/100 + 100
or, 120x/100 = 116x/1000/100
or, 120x = 116x + 10000
or, 120x – 116x = 10000
or, 4x = 10000
or, x = 1000/4 = 2500
Therefore, the C.P of the tricycle is 2500.
Question no – (23)
Solution :
Let Cost Price of T shirt = x
Profit = 4%
∴ Selling Price₁ of T shirt = 104x/100
Again profit = 5%
∴ Selling Price₂ of T shirt = 105x/100
According to question,
105x/100 – 104x/100 = 6
or, 105x- 104/100 = 6
or, x = 6 × 100 = 600
(i) ∴ Cost Price of T shirt = 600
(ii) Selling Price = 105 × 600/10 = 630 Rs.
Selling Price₁ = 104 × 600/100 = 624 Rs.
Question no – (24)
Solution :
Cost Price of 100 hens = 8000
∴ Cost Price of 1 hens = 8000/100 = 80
∴ Cost Price of 20 hens = 80 × 20 = 1600
Let, Selling Price of 20 hens = x
According to question,
x – 1600/1000 = 5/100
or, x – 1600 = 80
or, x = 1600 + 80 = 1680
∴ Gain on 20 hens = (1680 – 1600) = 80
New Cost Price of 80 hens = 8 × 80 = 6400
Let, Selling Price of 80 hens = y
gain on 80 hens = (Selling Price – Cost Price) of 80 hens
gain on 100 hens = gain on 80 hens + gain an 20 hens
= (Selling Price of 80 hens – 6400) + 80
= (y – 6400) + 80
= Y – 6320
According to question,
y – 6320/800 = 20/100
or, y – 6320 = 1600
or, y = 1600 + 6320 = 7920
∴ Gain of 80 hens = Selling Price – Cost Price
= 7920 – 6400
= 1520
∴ Gain% = 1520/6400 × 100
= 23.75%
Profit Loss Discount and Value Added Tax (Vat) Exercise 13.2 Solution :
Question no – (1)
Solution :
(i) M.P = Rs 1300 and
Discount = 10%
∴ Selling Price
= 1300 × 90/100
= 1170
Hence, the Selling Price is Rs 1170.
(ii) Market Price = Rs 500
And discount = 15%
∴ Market Price = 500
Discount = 15%
∴ Selling Price,
= 500 × 85/100
= 425 Rs.
Question no – (2)
Solution :
(i) Selling Price = Rs 1222
and discount = 6%
∴ S.P = 1222
Discount = 6%
∴ Market Price
= 1222 × 100/94
= 1300 Rs.
(ii) Market Price = Rs 495 and discount = 1%
∴ Selling Price = 495
discount = 1%
∴ Market Price,
= 495 × 100/99
= 500 Rs.
Question no – (3)
Solution :
(i) Market Price = Rs 900
and SP = Rs 873
∴ Market Price = 900
Selling Price = 873
∴ Discount = MP – SP
= 90 – 873
= 27
∴ Discount percent (%)
= 27 × 100/900
= 3%
(ii) Market Price = 500
Selling Price = 425
∴ Discount,
= 500 – 425
= 75
∴ Discount percent (%)
= 75 × 100/50
= 25%
Question no – (4)
Solution :
According to the given question,
Market Price = 650
Discount = 3%
∴ Selling Price,
= 650 × 97/100
= 630.50
Therefore, customer pay for swing machine is Rs 630.50
Question no – (5)
Solution :
As per the given question,
Market Price= 720
Selling Price = 684
∴ Discount,
= 720 – 684
= 36
∴ Discount Percent (%)
= 100 × 36/720
= 5%
Question no – (6)
Solution :
According to question,
Selling Price = 720
Discount = 20%
∴ MP = 720 × 100/80
= 900
Thus, the marked price of the saree is 900 Rs.
Question no – (7)
Solution :
As per the given question,
Selling Price = 555
Discount = 7 1/2% = 15/2
∴ Market Price = 555 × 100 /185/2
= 555 × 100 × 2 /185
= 600
Therefore, the marked price of the article is Rs. 600
Question no – (8)
Solution :
As per the question,
Market Price = 250
Discount = 10%
∴ Selling Price
= 250 × 90/100
= 225 Rs
Profit = 25%
∴ Cost Price
= 225 × 100/125
= 180 Rs
Therefore, the actual cost of article is Rs. 180.
Question no – (9)
Solution :
According to question,
Market Price = 500
Discount = 20%
∴ Selling Price,
= 500 × 80 /100
= 400 Rs
Profit = 25%
∴ Cost Price
= 400 × 100/125
= 320 Rs
Therefore, the actual cost of article is Rs 320.
Question no – (10)
Solution :
Cost Price = 170
Profit = 20%
∴ Selling Price
= 170 × 120/100
= 204
Discount = 15%
∴ Market Price
= 204 × 100/85
= 240
Hence, the marked price of article is Rs. 240
Question no – (11)
Solution :
Let Cost Price = x
∴ Profit = 50%
∴ Selling Price = 150x/100 = 3x/2
Again, Let Market Price = y
∴ Discount = 25%
∴ Selling Price = 75y/100 = 3y/4
According to question,
3x/2 = 3y/4
= x/y = 1/2
∴ x : y = 1 : 2
Hence, the ratio of the Cost Price to the Market Price is 1 : 2.
Question no – (12)
Solution :
Let the advertised price = x
Commission = 23% = 23x/100
∴ After commission Selling Price of Item,
= x – 23x/100
= 100x – 23x/100
= 77x/100
New profit = 10%
∴ Cost Price = 77x/100 ×10/100
= 77x × 100/ 100 × 100
= 7x/10
According to question,
Selling Price – CP = gain
77x/100 – 7x/10 = 56
or, 77x – 70x/100 = 56
or, 7x = 56 × 100
or, x = 56 × 100/7 = 800
Therefore, his advertised price is Rs. 800
Question no – (13)
Solution :
Let, Cost Price = x
Mark at = 40% above on Cost Price
∴ Market Price = 140x/150 = 7x/5
Now discount% = 5%
∴ Discount value = 7x/5 × 5 /10
= 7x × 5/5 × 100
= 7x/100
Given Selling Price = 1064
According to question,
7x/5 – 7x/100 = 1064
or, 140x – 7x/100 = 1064
or, 133x = 1064 × 100
or, x = 1064 × 100 /133 = 800
∴ Cost Price = 800
∴ Selling Price = 1064
∴ Profit = 1064 – 800
= 264
Question no – (14)
Solution :
Given, profit% = 16%
Profit = 48
∴ C.P = profit /profit × 100
= 48/16 × 100
= 300
∴ S.P = 300 × 116/150
= 348
Now, discount = 25%
∴ M.P
= 348 × 100/75
= 464
Question no – (15)
Solution :
As per the question,
M.P. = 275
Discount = 32%
∴ S.P. = 275 × 68/100
= 18700/100
= 187
Therefore, the bookseller pay Rs. 187 for a book.
Question no – (16)
Solution :
Let, C.P = x
Loss = 10%
∴ S.P = 90x/100
Now, discount = 20%
∴ M.P = 90x/100 × 100/80
= 90x × 100 /100 × 80
= 9x/8
∴ Loss = 9x/8 – x
= 9x – 8x/8
= x/8
∴ Loss% = (x/8) / x × 100
= x × 100 / 8 × x
= 12.5%
Question no – (17)
Solution :
Let S.P of fan = x
M.P of table = 480
∴ Discount = 25%
∴ C.P = 480 × 75/100 = 360
Now profit% = 15%
According to question,
x – 360/ 360 = 15/100
or, x – 360 = 15 × 36/10 = 54
or, x = 54 + 360
x = 414
Question no – (19)
Solution :
According to question,
S.P = 660
Profit = 10%
∴ C.P = 660 × 100/110
= 60
∴ Discount = 25%
∴ M.P = 600 × 100/75
= 800
Therefore, the marked price of the item is Rs. 800
Question no – (20)
Solution :
Let, M.P. = x
Discount = 20%
∴ S.P = 80x/100 = 4x/5
Now profit = 20%
∴ C.P = 4x/5 × 100/120
= 4x × 100/ 5× 120
= 2x/3
Given, gain = 360
∴ According to question,
4x/5 – 2x/3 = 360
or, 12x- 10x/15 = 360
or, 2x = 360 × 15
or, x = 360 × 15/2 = 2700 Rs
Therefore, the marked price of the cycle is Rs. 2700
Question no – (21)
Solution :
According to the question,
C.P = 1470
Profit = 10%
S.P = 1470 × 110/100
= 1617
Now, discount 12.5%
∴ M.P = 1617 × 10 /87.5
= 1617 × 100/8750
= 1848 Rs
Thus, the marked price of a suit is Rs 1848
Question no – (22)
Solution :
Cost Price = 1200
Gain = 12%
∴ Selling Price = 1200 × 112/100
= 1344 Rs
Now discount = 16%
∴ M.P = 1344 × 100/84 = 1600
Therefore, Aslam should mark Rs. 1600 on a pair of shoes.
Question no – (23)
Solution :
M.P = 850
Discount = 4%
∴ S.P = 850 × 96/100
= 816
Now, profit = 20%
∴ C.P = 816 × 100 /120
= 680
Thus, the cost price of a shirt is Rs. 680.
Question no – (24)
Solution :
In the given question,
M.P = 1120
Discount = 10%
∴ S.P = 1120 × 90/100
= 1008 Rs
Now, Profit = 26%
∴ C.P = 1008 × 100/126
= 800
Therefore, the cost price for shopkeeper on pair of shoes is Rs. 800.
Question no – (25)
Solution :
In the question,
MP = 1250
Discount = 10%
∴ S.P = 1250 × 90/100
= 1125
Now, Profit = 25%
∴ C.P = 1125 × 100/125
= 900
Therefore, the cost price of a fan for her is Rs. 900
Profit Loss Discount and Value Added Tax (Vat) Exercise 13.3 Solution :
Question no – (1)
Solution :
Given, List Price = 9700
VAT = 6% of 9700
= 9700 × 6/100
= 582
∴ Selling Price,
= 9700 + 582
= 10,282
Hence, to buy the refrigerator some one need to pay Rs. 10,282
Question no – (2)
Solution :
Let List Price = x
∴ VAT = 10% of x = 10x/100
= x/10
Given, Selling Price = 825
According to question,
x + x/10 = 825
or, 10x + x/10 = 825
or, 11x = 825 × 100
or, x = 825 × 10/11 = 750
Therefore, the list price of the watch is Rs. 750
Question no – (3)
Solution :
Let, List Price = x
VAT = 7% of x = 7x/100
Given, Selling Price = 374.50
According to question,
x + 7x/100 = 374.50
or, 100x + 7x/100 = 37450/100
or, 107x = 37450
or, x = 37450/107 = 305
Therefore, the list price of the shirt is Rs. 305
Question no – (4)
Solution :
As per the given question,
List Price = 175
VAT = 7% × 188888875
= 7/100 × 175
= 49/4
∴ Net value,
= (175 +49/4)
= 175 + 12.25
= 187.25
Therefore, the net value of the pair of shoes will be 187.25
Question no – (5)
Solution :
Let, Vat = x%
∴ L.P = 250
VAT amount = 20
According to question,
= x/100 × 250 = 20
or, x = 20 × 100/250 = 8%
Thus, the rate of VAT will be 8%
Question no – (6)
Solution :
Dear student, solution to you question is here,
Cost Price = 5500
Discount for rebate = 5%
∴ List Price,
= 5500 × 95/100
= 5225 Rs
Now VAT = 5% × 5225
= 5/100 × 5225
= 261.25 Rs
∴ Net paid,
= 5225 + 261.25
= 5486.25 Rs
Thus, the amount she will have to pay for the goods is Rs. 5486.25
Question no – (7)
Solution :
Cost Price including VAT = 7150
VAT = 10%
∴ Original Cost Price,
= 7150 × 100/110
= 6500
Thus, the original cost of the furniture is Rs. 6500.
Question no – (8)
Solution :
According to the given question,
Cost Price = 13750
VAT = 10%
∴ Original Cost Price,
= 13750 × 100/110
= 12500
Hence, the original cost of the refrigerator is Rs. 12500.
Question no – (9)
Solution :
Cost Price including VAT = 13440
Original Cost Price = 12000
∴ VAT amount = 13440 – 12000
= 1440
∴ VAT% = 1440/12000 × 100
= 12%
Therefore, the rate of VAT is 12%.
Question no – (10)
Solution :
Cost Price including VAT = 2568
VAT = 7%
∴ Original price,
= 2568 × 100/107
= 2400
∴ Reduction cost,
= 2568 – 2400
= 168
Therefore, the reduction needed in the price of radio will be 168.
Question no – (11)
Solution :
Price of 2 pairs of shoes,
= 800 × 2
= 1600
VAT = 5%
∴ VAT amount of 2 pairs of shoes,
= 1600 × 5/100
= 80
Price of 1 sewing machine = 1500
VAT = 6%
∴ VAT amount of sewing machine,
= 1500 × 6/100
= 90
Price of 2 Tea sets,
= 650 × 2
= 1300
VAT = 4%
∴ VAT amount of 2 tea sets
= 650 × 2 × 4/100
= 52
∴ Total amount,
= [(1600 + 80) + (1500 + 90) + (1300 + 52)
= 1680 + 1590 + 1352
= 4622
Question no – (12)
Solution :
As per the given question,
Cost Price of motorcycle = 17600
VAT = 10%
∴ Selling Price,
= 17600 × 100/110
= 16000
Therefore, the sale price of the motorcycle will be Rs 16000.
Question no – (13)
Solution :
Original Selling Price = 900
Selling Price including VAT = 990
∴ VAT amount,
= 990 – 900
= 90
∴ VAT% = 90 × 100/900
= 10%
Therefore, the rate of VAT charged on the coat will be 10%
Question no – (15)
Solution :
According to the question,
Selling Price including VAT = 165
VAT = 10%
∴ Original price,
= 165 × 100/110
= 150
Therefore, the sale price of the set is Rs. 150
Question no – (16)
Solution :
Let, List Price = x
Selling Price = 660
VAT = 10%
= 10x/100
= x/10
According to question,
x + x/10 = 660
or, 10x + x/10 = 660
or, 11x = 660 × 10
or, x = 660 × 10/11
= 600 Rs
Therefore, the list price of the bicycle will be Rs. 600.
Question no – (17)
Solution :
Selling Price including VAT = 13500
VAT = 8%
Let, List Price = x
According to question,
x + 8x/100 = 13500
or, 100x + 8x/100 = 13500
or, 108x = 13500 × 100
or, x = 1350 × 10/108
= 12500
Therefore, the list price of the television will be Rs. 15,500.
Question no – (18)
Solution :
As per the given question,
Market Price = 210000
Discount = 5%
∴ Selling Price
= 210000 × 95/100
= 199500 Rs.
Now, VAT = 10%
∴ Required price,
= 199500 × 100/100
= 219450 Rs.
Therefore, the amount Shikha had paid for purchasing car is Rs. 219450.
Question no – (19)
Solution :
Let, Cost Price of cosmetic = x
Cost Price of purse = y
Total VAT = z
for cosmetic,
VAT = 15x/100 = 3x/20
∴ Selling Price = x + 3x/20
= 20x + 3x/20
= 23x/20
For purse,
VAT = 10y /10 = y/10
∴ Selling Price = y + y/10
= 10 + y/10
= 11y/10
According to question,
23x/20 = 345
or, x = 345 × 20/23 = 300
Again, According to question,
11y/10 = 110
or, y = 110 × 10/11 = 100
∴ Total Transaction = (345 + 110)
= 455
NOW, Total price = 300 + 100 = 400
∴ VAT = Z% of 400 = z/100 × 400 = 4z
According to question,
4x + 400 = 455
or, 4x = 455 – 400 = 55
or, 55/4 = 13.75%
Therefore, 13.75% percent is the VAT charged on the whole transaction.
Question no – (20)
Solution :
List Price = 2563
VAT = 10%
∴ Cost Price,
= 2563 × 100/110
= 2330
∴ Discount amount,
= 2563 – 2330
= 233
Therefore, the discount in the price of the cooler is Rs. 233
Question no – (21)
Solution :
As per the given question,
List Price = 900
Discount = 5%
∴ Selling Price,
= 9000 × 95/100
= 8550
Now, VAT = 10%
∴ Paid Amount.
= 8550 × 110/100
= 9405
Thus, customer pay Rs. 9405 to the dealer.
Next Chapter Solution :
👉 Chapter 14 👈