1.

The marked price of a shirt and a trouser are in the ratio 2 : 3. The shopkeeper gives 20% discount of the shirt. If the total discount is 30%. Then, the discount offered on the trouser is –1). \(32\frac{1}{2}\%\)2). \(33\frac{1}{3}\%\)3). \(36\frac{2}{3}\%\)4). \(28\frac{1}{3}\%\)

Answer»

Given, marked price of a SHIRT and a trouser are in the ratio 2 : 3.

Let the marked prices be 2A and 3a respectively. Where a is any constant

Now, shopkeeper GIVES 20% discount on shirt.

∴ Selling price of shirt = 2a – 20% of 2a = 1.6a

Given, TOTAL discount is 30%.

Total selling price = 5a – 30% of 5a = 3.5a

Selling price of trousers = 3.5a – 1.6a = 1.9a

∴ 3a – discount% of 3a = 1.9a

⇒ discount% × 3 = 1.1

⇒ Discount% $(= \frac{{110}}{3} = \;36\frac{2}{3}\%)$



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