Multiple Choice Questions

A shopkeeper sold 24 shirts each at a profit of 20 and 16 shirts each at a profit of 10 If he had so...........

Quantitative Aptitude (MTS) Profit and loss

A shopkeeper sold 24 shirts, each at a profit of 20% and 16 shirts, each at a profit of 10%. If he had sold all the 40 shirts, each

at a profit of 15%, then his overall profit would have been reduced by Rs36. What is the cost price of each shirt?

This questions was previously asked in

SSC MTS 26th July 2022 Shift-3

Rs90

Rs100

Rs150

Rs220

- We are given two scenarios: one is the actual sale at 20% and 10% profit, and the other is a hypothetical sale at 15% profit.

- He sold 24 shirts at a 20% profit and 16 shirts at a 10% profit.

- Let the cost price of each shirt be Rs x.

- Total profit in the first scenario = $24 \times 0.20 x + 16 \times 0.10 x = 4.8 x + 1.6 x = 6.4 x$ .

- Total profit in the second scenario (hypothetical) = $40 \times 0.15 x = 6 x$ .

- The difference in profit = $6.4 x - 6 x = 0.4 x$ .

- We know 0.4x = Rs 36.

- Solving $0.4 x = 36$ , we get $x = 36 / 0.4 = 90$ .

- Hence, the cost price of each shirt is Rs 90.

- Green Tick: Rs 90

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