NCTB Class 7 Math Chapter Two Exercise 2.2 Solution by Math Expert. Bangladesh Board Class 7 Math Solution Chapter 2”Proportion, Profit & Loss” Exercise 2.2 Solution.

Board |
NCTB |

Class |
7 |

Subject |
Math |

Chapter |
2 |

Chapter Name |
”Proportion, Profit & Loss” |

Exercise |
2.2 Solution |

**Exercise:- 2.2**

**(1) If a shopkeeper bought 5 metres of cloth at the rate of TK. 200 per metre and sold it at the rate of TK.225 per metre, how much did he gain as profit?**

**Solution:- **Cost of 1 metre cloth = 200TK.

Therefore, cost of 5 metre cloth = (200×5) = 1000 TK.

And, S.P of 1 metre cloth = 225TK.

S.P of 5 metre cloth = (5×225) Tk.

= 1125 TK.

Therefore, Profit = (1125-1000) TK.

= 125TK.

**(2) If an orange seller bought 5 dozen oranges at the rate of TK.60 per four and sold them at the rate of TK.50 per four, how much did he lose?**

**Solution:- **1 dozen = 12 pc = 3 hali

5 dozen = 60 pc = 15 hali.

Therefore, 4 pc= 1 hali orange cost= 60 TK.

15 hali orange cost = (60×15) TK.

= 900 TK.

And, S.P of hali orange 50 TK.

Therefore, S.P of 15 hali orange (15×50) TK.

= 750TK.

Therefore, Loss= (900-750)TK.

= 150TK.

**(3) Rabi bought 50 kg rice at the of TK. 40 per kg and sols it at the rate of TK. 55 per kg. What is the amount of profit or loss?**

**Solution:- **Cost price of 1 kg rice = 40TK.

Therefore, cost price of 50 kg rice = (50×40) TK.

= 2000TK.

And S.P of 1 kg rice = 44TK.

Therefore, S.P of 50 kg rice = (44×50) TK.

= 2200 TK.

Therefore, Profit = (2200-2000) TK.

= 200TK.

**(4) The buying rate of Milk vita milk is TK. 52 per litre and the selling rate is TK. 55 per litre, what is the percentage of profit?**

**Solution:- **Cost price of 1 litre of milk vita= 52 TK.

- P price of 1 litre of milk vita = 55 TK.

Therefore, profit = (55-52) = 3 TK.

Therefore, (9/52×100)%

= 5- 10/13%.

**(5) Some chocolates were bought at TK. 8 per piece, and sold them at TK. 8.50 per rice and them the profit was TK. 25. How many chocolates were bought?**

**Solution:- **C. P of 1 chocolate = 8 TK.

- P of 1 chocolate = 8.50 TK.

Therefore. Profit = (8.50-8.00) = 0.50 TK.

Therefore, 0.5 RS profit in 1 chocolate.

Therefore, 1 RS profit in 1/0.5 chocolate.

Therefore, 25 RS profit in 25/0.5 chocolate.

= 50 chocolate.

**(6) A Shopkeeper bought cloth at rate of is TK. 125 metre, and sold it at the rate of TK. 150 per metre. Then he gained TK.2000 as profit. How many metres of cloth did the shopkeeper buy?**

**Solution:- **C P of cloth = 125 TK per metre

S P of cloth = 150 TK per metre

Profit = (150-125) TK

= 25 TK.

Therefore, 25 TK profit in 1 metre cloth.

Therefore, 1 TK profit in 1/20 cloth.

2000 TK profit in 2000/20 TK cloth.

= 80 metre cloth.

**(7) An item is bought at TK.190 and is sold at TK.175. What is the percentage of profit or loss?**

**Solution:- **Item cost price = 190 TK.

Therefore, item selling price = 175 TK.

Loss= (190-175) TK.

= 15TK.

Therefore, (15/190×100)%

= 7.89 Loss.

**(8) The cost price of 25 metres of cloth is equal to the selling price of 20 metres of cloth. What is the percentage of profit or loss?**

**Solution:- **Let, cost price 100RS.

Therefore, 25metre cloth C.P = 100TK.

Therefore, 1 metre cloth C.P = 100/25 TK.

= 4TK.

By question, C.P = S P

Therefore, 20 metre cloth S.P = 100 TK.

1 metre cloth S.P = 100/20 TK.

= 5 TK.

Therefore, Profit = (5-4) = 1 TK.

Therefore, 4 TK profit – 1 TK.

Therefore, 1 TK profit – ¼ TK.

Therefore, 1000 TK. Profit 100×1/4 TK.

= 25 TK.

Therefore, Profit = 25%.

**(9) The buying price of 8 amloki is sold at TK.5, what is the percentage of profit or loss?**

**Solution:- **8 amloki cost price 5 TK.

Therefore, amloki cost price 5/8 TK.

And, 6 amloki SP = 5 TK.

Therefore, 1 amloki SP = 5/6 TK.

Therefore, Profit = (5/6-5/8) TK.

= 20-15/24 TK.

= 5/24 TK.

Therefore, 5/8 TK profit 5/24TK.

Therefore, 1 TK profit 5×8/5×24 TK.

Therefore, 100 TK profit 5x8x100/5×24 TK

= 100/3 TK.

= 33- 1/3 TK.

Therefore, Profit 33 – 1/3%

**(11) If an object is sold at TK. 400, there is as much amount loss, there will be the profit amounting three times the loss, if it is sold at TK.480, what is the cost price of that object?**

**Solution:- **From question, Let loss x TK.

400+x = 480-3x.

=> 4x = 480-400

=> x = 80/4

= 20TK.

Therefore, Cost price of object = (400+20) TK.

= 420TK.

**(12) If the selling price of a watch is TK. 625, the loss is 10%. What would be the price of the watch if a profit of 10% is to be gained by selling it?**

**Solution:-** Let, Cost of watch 100 TK.

In 10% loss, SP of watch = (100-10)

= 90 TK.

And 10% profit, SP of watch = (100+10) Tk.

= 110 TK.

Therefore, 90Tk. —- 110TK.

Therefore, 1TK. —- 110/90 TK.

Therefore, 625TK. — 110×625/90 TK.

= 763- 8/9 TK.

**(13) Maisha bought 15 metres red ribbon at the rate of TK. 20 per metre. The rate of VAT is TK. 4 percent, and she gave TK. 500 to the shopkeeper. How much taka would he need for Indian 3000 Rupee?**

**Solution:- **1 metre red ribbon 20 TK.

Therefore, 15 metre red ribbon (15×20) TK.

= 300TK.

Vat = 4%

Therefore, 100 TK. Vat – 4TK.

Therefore, 3000 TK. Vat = 4/100x 300

= 12TK.

Total price of ribbon = (300+12)

= 312

Maisha give 500 TK

Therefore, Shopkeeper return = (500-312) TK.

= 188 TK.

**(14) Mr. Roy is a government officer. He will go to India to visit religious places. If Bangladeshi TK. 1 is equal to Indian 0.63 Rupee, how much Bangladeshi taka would he need for Indian 3000 Rupee?**

**Solution:- **0.63 Rupee= 1 TK.

1 Rupee= 1/0.63 TK.

Therefore, 3000 Rupee= 3000/0.6 TK.

= 4.761.90 TK.

**(15) Nilim is a service holder. His monthly basic pay is TK. 22,250. The income tax of two lac fifty thousand taka of first slab of annual income is 0 taka. The rate of income tax of next annual income slab is TK. 10. How many taka does he has to pay as tax?**

**Solution:- **

Nilim,

1 month basic pay =22.250 TK.

12 month basic pay (12×22, 250) TK.

= 2,67.000 TK.

Taxable amount = (267000-250,000) TK.

= 17000 TK.

100 TK. – tax – 10 TK.

1 TK – tax – 10/100 TK.

17000 TK. – tax 10×17000/100

= 1700.

class 7

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