# A trader offers 25% discount on the catalogue price of radio and yet makes 20% profit. If he gains ₹ 160 per radio, what must be the catalogue price of the radio? - Mathematics and Statistics

Sum

A trader offers 25% discount on the catalogue price of radio and yet makes 20% profit. If he gains ₹ 160 per radio, what must be the catalogue price of the radio?

#### Solution

Let the catalogue (list) price of the radio be ₹ 100.

The trader offers 25% discount on the catalogue price.

∴ Trade discount = 25% of catalogue price

= 25% of ₹ 100

= 25/100 xx 100

∴ Trade discount = ₹ 25

Now, Selling price = Catalogue price – Trade discount

= 100 - 25 = ₹ 75

Also, he gets 20% profit.

Let the cost price be ₹ 100,

∴ Selling price = Cost price + Profit

= 100 + 20% of cost price

= 100 + 20/100 xx 100

= 100 + 20

= ₹ 120

∴ For selling price of  75,

Cost price = (100 xx 75)/120 = ₹ 62.5

∴ Profit = Selling price – Cost price

= 75 - 62.5

∴ Profit = ₹ 12.5

Now, if the catalogue price is  100, then profit is ₹ 12.5.

∴ For profit of ₹ 160

Catalogue price = (100 xx 160)/12.5 = ₹ 1280

∴ Catalogue price of the radio is ₹ 1,280.

Concept: Discount
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Commission, Brokerage and Discount
Miscellaneous Exercise 1 | Q 4.13 | Page 13