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SSC CHSL 2024 PYQ — Question 65

SSC CHSL - 01 July 2024 - Shift 3 • Quantitative Aptitude • Q65

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A shopkeeper gives a 10% discount and stll earns 10% profit. The marked price of the item is how many times (correct to 2 decimal places) the cost price?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 1.22.

Let the cost price (CP) of the item be x.

Let the marked price (MP) be y.

Discount % = (Marked Price - Selling Price)/Marked Price × 100

The shopkeeper offers a 10% discount on the marked price, so the selling price (SP) becomes 0.9y.

The shopkeeper still earns a 10% profit, so the selling price is also 1.1x.

Since the selling price (SP) 0.9y = 1.1x

⇒ yx=1.10.9=119\frac{y}{x} = \frac{1.1}{0.9} = \frac{11}{9} = 1.2222

The marked price is approximately 1.22 times the cost price.