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If toffees are bought at the rate of 7 for Rs. 6, at what rate per hundred must they be sold to gain 33%?1). Rs. 1142). Rs. 1153). Rs. 1184). Rs. 120 |
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Answer» Chocolates are bought at a rate of 7 for Rs. 6. ∴ Cost price of one Chocolate = Rs. 6/7. Let’s assume that the Chocolates are sold at a rate of 100 for Rs. X. ∴ Selling price of one Chocolate = Rs. X/100 According to the information GIVEN in the problem, there’s a profit is of 33% in this transaction. % profit $(= \frac{{selling\;price - cost\;price}}{{cost\;price}} \times 100)$ $(\BEGIN{ARRAY}{l} \therefore 33 = \frac{{\left( {\frac{X}{{100}}} \right) - \left( {\frac{6}{7}} \right)}}{{\left( {\frac{6}{7}} \right)}} \times 100\\ \Rightarrow \left( {\frac{{33}}{{100}} \times \frac{6}{7}} \right) + \frac{6}{7} = \frac{X}{{100}}\\ \Rightarrow \frac{{198}}{{700}} + \frac{6}{7} = \frac{X}{{100}}\\ \Rightarrow \frac{{198 + 600}}{{700}} = \frac{X}{{100}}\\ \Rightarrow X = \frac{{798}}{{700}} \times 100 = 114 \END{array})$ ∴ Chocolates should be sold at a rate of 100 for Rs. 114. |
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