## The following table gives the cost of different number of exercise books:  x(Number of exercise book)

Question

The following table gives the cost of different number of exercise books:

x(Number of exercise

book)

2 4 6 8 10 12 15

y(cost in Rs.) 20 40 60 80 100 120 150​

in progress 0
4 days 2021-09-12T19:16:04+00:00 2 Answers 0 views 0

1. Exercise 13.3 Solutions

Access answers to Maths RD Sharma Solutions For Class 8 Exercise 13.1 Chapter 13 Profit, Loss, Discount and Value Added Tax (VAT)

1. A student buys a pen for Rs 90 and sells it for Rs 100. Find his gain and gain percent.

Solution:

We know that the cost price of pen = Rs 90

Selling price of pen = Rs 100

By using the formula,

Gain = selling price – cost price

= 100 – 90

= Rs 10

By using the formula,

Gain % = (gain/cost price) × 100

= (10/90) × 100

= 100/9

= 11 1/9 %

2. Rekha bought a saree for Rs 1240 and sold it for Rs 1147. Find her loss and loss percent.

Solution:

We know that the cost price of saree = Rs 1240

Selling price of saree = Rs 1147

By using the formula,

Loss = cost price – selling price

= 1240 – 1147

= Rs 93

By using the formula,

Loss % = (loss/cost price) × 100

= (93/1240) × 100

= 7.5 %

3. A boy buys 9 apples for Rs 9.60 and sells them at 11 for Rs 12. Find his gain or loss percent.

Solution:

We know that the cost price of 9 apples = Rs 9.60

Cost price of 1 apple = Rs 9.60/9

Selling price of 11 apple = Rs 12

Selling price of 1 apple = Rs 12/11

By using the formula,

Gain = selling price – cost price

= 12/11 – 9.60/9

= (108-105.60)/99

= Rs 2.40/99

By using the formula,

Gain % = (gain/cost price) × 100

= ((2.40/99)/(9.60/9)) × 100

= 25/11

= 2 3/11%

4. The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.

Solution:

We know that the cost price of 10 article = selling price of 9 article

Let us consider CP of 1 article as Rs X

Selling price of 9 article = 10X

Selling price of 1 article = 10x/9

Profit = 10x/9 – x

= x/9

Profit % = Gain % = (gain/cost price) × 100

= (x/9)/x × 100

= 100/9

= 11 1/9%

5. A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. If he sells the radio for Rs 300, determine his profit percent.

Solution:

The cost price of a radio = Rs 225

Total cost = cost price + overhead expenses = 225+15 = Rs 240

Selling price of radio = Rs.300

By using the formula,

Gain = selling price – cost price

= 300 – 240 = Rs 60

By using the formula,

Gain % = (gain/cost price) × 100

= 60/240 × 100

= 25 %

6. A retailer buys a cooler for Rs 1200 and overhead expenses on it are Rs 40. If he sells the cooler for Rs 1550, determine his profit percent.

Solution:

We know the cost price of cooler = Rs 1200

Total cost = Rs 1200 + Rs 40 = Rs 1240

Selling price of cooler = Rs 1550

By using the formula,

Gain = selling price – cost price

= Rs 1550 – Rs1240

= Rs 310

By using the formula,

Gain % = (gain/cost price) × 100

= 310/1240 × 100

= 25%

7. A dealer buys a wristwatch for Rs 225 and spends Rs 15 on its repairs. If he sells the same for Rs 300, find his profit percent.

Solution:

We know the cost price of wrist watch = Rs 225

Cost of repairing = Rs 15

Total cost = Rs 225 + Rs 15 = Rs 240

Selling price of watch = Rs 300

By using the formula,

Gain = selling price – cost price

= Rs 300 – Rs 240

= Rs 60

By using the formula,

Gain % = (gain/cost price) × 100

= 60/240 × 100

= 25%

8. Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.

Solution:

We know the cost price of two boxes = Rs 1300

So let us consider cost price of one box be Rs x

Cost price of other box = Rs 1300 – x

Selling price of first box = x + x × 20/100

= x + x/5

= Rs 6x/5

Selling price of second box = (1300 – x) – (1300 – x) × 12/100

= Rs (28600 – 22x)/25

By equating SP of first and second box we get,

6x/5 = (28600 – 22x)/25

150x = 28600 × 5 – 110x

150x + 110x = 28600 × 5

260x = 28600 × 5

x = (28600 × 5)/260

= 550

∴ Cost price of first box = Rs. 550

Cost price of second box = Rs1300 – Rs550 = Rs 750

9. If the selling price of 10 pens is equal to cost price of 14 pens, find the gain percent.

Solution:

Given that, Selling price of 10 pens = cost price of 14 pens

So, let the cost price of 1 pen be Rs x

Selling price of 10 pens = Rs 14x

Selling price of 1 pen =Rs 14x/10

By using the formula,

Gain = selling price – cost price

= 14x/10 – x

= 4x/10

By using the formula,

Gain % = (gain/cost price) × 100

= (4x/10)/x × 100

= 2/5 × 100

= 40%

x = 576/192

We know that SP of 1 pen = 192x/200

SP of dozen pens = 12 × 192x/200

= 12 × 192/200 × 576/192

= 12 × 576/200

= 34.56

∴ Loss% = 4% and SP of 1 dozen pens is Rs 34.56

23. The difference between two selling prices of a shirt at profits of 4% and 5% is Rs 6. Find

(i) C.P. of the shirt

(ii) The two selling prices of the shirt

Solution:

(i) Let the CP of shirt be = Rs x

Profit (4%) = 4/100 of CP

= 4/100 × x

= 4x/100

Selling Price = C.P + Profit

= x + 4x/100

= (100x + 4x)/100

= 104x/100

(

Selling Price of other shirt = 105x/100 = (105×600)/100 = Rs 630

24. Toshiba bought 100 hens for Rs 8000 and sold 20 of these at a gain of 5%. At what gain percent she must sell the remaining hens so as to gain 20% on the whole?