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By selling 70 pencils for Rs. 90 a person makes a loss of 25%. How many pencils should be sold for…

A 25 percent loss on 70 pencils sold for Rs. 90 means their cost was \(\frac{90}{0.75} = 120\), so the cost per pencil is \(\frac{12}{7}\). For a 30 percent profit on a sale…

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By selling 70 pencils for Rs. 90 a person makes a loss of 25%. How many pencils should be sold for Rs.234 to have a profit of 30%?

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Correct answer C

A 25 percent loss on 70 pencils sold for Rs. 90 means their cost was 900.75=120\frac{90}{0.75} = 120, so the cost per pencil is 127\frac{12}{7}. For a 30 percent profit on a sale of Rs. 234 the cost must be 2341.3=180\frac{234}{1.3} = 180. Hence the number of pencils is 180÷127=105180 \div \frac{12}{7} = 105.

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