SSC MTS 2024 PYQ — Question 20

SSC MTS - 09/10/2024 - (4:00 PM - 5:30 PM) • Quantitative Aptitude • Q20

A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 18% less than what is written on it. Find his profit percentage.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e 213941%21 \frac{39}{41}\%.

Assume the cost price (C.P.) per kg = ₹100.

Shopkeeper claims to sell 1 kg at C.P. = ₹100.

But actually, he gives only 100% − 18% = 82% of 1 kg = 0.82 kg

Cost price of 0.82 kg = 100 × 0.82 = ₹82

Selling price (S.P.) = ₹100 (since he charges for 1 kg)

Profit = S.P. − C.P. = 100 − 82 = ₹18

Profit % = 18/82 × 100 = 213941%21 \frac{39}{41}\%