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SSC MTS 2024 PYQ — Question 18

SSC MTS - 21/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q18

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A dishonest dealer claims to sell groceries at cost price and still makes a profit of 22239%2\frac{22}{39}\%. For a kg, he uses a weight of.

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Correct answer: C

Explanation

The correct answer is option 3 i.e 975 g.

Profit = 2 22/39% = 100/39%

Let the dealer gives x kg instead of 1 kg.

Profit% = [(1 − x) / x] × 100

So,
(1 − x) / x × 100 = 100 / 39 ⇒ (1 − x) / x = 1 / 39 ⇒ 39(1 − x) = x ⇒ 39 − 39x = x ⇒ 39 = 40x

⇒ x = 39 / 40 = 0.975 kg or 975 g.