# A retailer sold a suit for ₹ 8,832 after allowing 8% discount on marked price and further 4% cash discount. If he made 38% profit, find the cost price and the marked price of the suit. - Mathematics and Statistics

Sum

A retailer sold a suit for ₹ 8,832 after allowing 8% discount on marked price and further 4% cash discount. If he made 38% profit, find the cost price and the marked price of the suit.

#### Solution

Let the marked price of the suit be ‘x’.

Seller allows discount of 8% on marked price.

∴ Discount = x xx 8/100 = 0.08"x"

∴ Net price = x – 0.08x = 0.92x

Further cash discount of 4% is given.

∴ Cash discount = 0.92 x xx 4/100 = 0.0368 x

∴ Net selling price = 0.92x – 0.0368x = 0.8832x

However, net selling price is given as ₹ 8,832.

∴ 0.8832x = 8832

∴ x = 8832/0.8832

∴ x = ₹ 10000

∴ Marked price (list price) ₹ 10,000.

Retailer has made 38% profit on cost price.

Let the cost price be y.

Profit = y xx 38/100 = (38y)/100

Cost price + Profit = Selling price

∴ y + (38y)/100 = 8,832

∴ (100y + 38y)/100 = 8,832

∴ (138y)/100 = 8,832

∴ y = (8,832 xx 100)/138 = ₹ 6400

∴ The cost price of the suit is ₹ 6,400 and list price (marked price) is ₹ 10,000.

Concept: Commission and Brokerage Agent
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Chapter 1: Commission, Brokerage and Discount - Exercise 1.1 [Page 6]

#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Commission, Brokerage and Discount
Exercise 1.1 | Q 13 | Page 6
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