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Question

Rahim bought a dozen pencils at ₹ 5 per pencil. He sold half of them at ₹ 6 per pencil and the other half at ₹ 7 per pencil. Find the total profit.


A

₹ 12

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B

₹ 24

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C

₹ 16

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D

₹ 18

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Solution

The correct option is D

₹ 18


CP of one pencil = ₹ 5
CP of 12 pencils = 12 x ₹ 5 = ₹ 60

SP of 6 pencils at ₹ 6 per pencil
= 6 x ₹ 6 = ₹ 36

Remaining number of pencils = 12 - 6 = 6

SP of 6 pencils at ₹ 7 per pencil
= 6 x ₹ 7 = ₹ 42

Total SP = ₹ 36 + ₹ 42 = ₹ 78

Since SP > CP, we have a profit.

Profit = SP - CP = ₹ 78 - ₹ 60 = ₹18


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