To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360 as
(a) Rs 500
(b) Rs 450
(c) Rs 460
(d) Rs 486

Solution:

To gain 25% on the cost price the shopkeeper should sell at the price which is calculated as follows:

Gain % = [(Selling Price - Cost Price) × 100] /Cost price

25 = [(Selling Price - 360) × 100]/360

Selling Price = [(25 × 360)/100] + 360

= 360/4 + 360

= 90 + 360

= Rs. 450

Hence after a discount of 10% the article should be sold for Rs.450. Therefore, If Marked Price is 100 then the discounted Price is Rs. 90. Therefore if the the discounted price is Rs. 450 then the marked price is:

Marked Price = (100 × 450)/90

= 100 × (450/90)

= 100 × 5

= Rs. 500

✦ Try this: To gain 20% after allowing a discount of 20%, the shopkeeper must mark the price of the article which costs him Rs 400 as

To gain 20% on the cost price the shopkeeper should sell at the price which is calculated as follows:

Gain % = [(Selling Price - Cost Price) × 100] /Cost price

20 = [(Selling Price - 400) × 100]/400

Selling Price = [(20 × 400)/100] + 400

= 400/5 + 400

= 80 + 400

= Rs. 480

Hence after a discount of 20% the article should be sold for Rs.480. Therefore,

If the Marked Price is 100 then the discounted Price is Rs. 80. Therefore if the the discounted price is Rs. 450 then the marked price is:

Marked Price = (100 × 480)/80

= 100 × (480/80)

= 100 × 6

= Rs. 600

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 8

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NCERT Exemplar Class 8 Maths Chapter 9 Problem 6

To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360 as (a) Rs 500, (b) Rs 450, (c) Rs 460, (d) Rs 486

Summary:

To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360 as Rs. 500

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