A man bought goods worth Rs. 6,000 and sold half of them at a gain of 10%. At what gain percent must he sell the remainder to get a gain of 25% on the whole?

40 %

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25 %

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35 %

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20 %

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Solution

The correct option is A $40 %$
Total CP = Rs. 6,000
Profit = 25%
Overall SP = $6000 \times \frac{100 + 25}{100} = R s . 7, 500$
SP of half of the goods= $3000 \times \frac{100 + 10}{100} = R s . 3300$
SP of remaining half goods $= 7500 - 3300 = 4200$
Profit on remaining half goods costing Rs. 3000 $= 4200 - 3000 = 1200$
Profit % = $\frac{1200}{3000} \times 100 = 40$ %

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A man bought goods worth Rs. 6,000 and sold half of them at a gain of 10%. At what gain percent must he sell the remainder to get a gain of 25% on the whole?

The correct option is A 40%Total CP = Rs. 6,000Profit = 25%Overall SP = 6000×100+25100=Rs.7,500SP of half of the goods= 3000×100+10100=Rs.3300SP of remaining half goods=7500−3300=4200Profit on remaining half goods costing Rs. 3000=4200−3000=1200Profit % = 12003000×100=40%