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Due to a reduction of \(6\frac{1}{4}\%\) in the price of sugar, a man is able to buy 1 kg more for ₹…

A cut of \(6\tfrac14\%=\frac1{16}\) in the price saves \(\frac1{16}\times120=₹\,7.50\) on the same purchase. That saving buys the extra 1 kg, so the reduced price is ₹ 7.50…

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Due to a reduction of 614%6\frac{1}{4}\% in the price of sugar, a man is able to buy 1 kg more for ₹ 120. Find the reduced rate of sugar.

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Correct answer B

A cut of 614%=1166\tfrac14\%=\frac1{16} in the price saves 116×120=₹ 7.50\frac1{16}\times120=₹\,7.50 on the same purchase. That saving buys the extra 1 kg, so the reduced price is ₹ 7.50 per kg. Check: the original price was ₹ 8 per kg, so ₹ 120 bought 15 kg before and 120÷7.5=16120\div7.5=16 kg after; ₹ 8.00 is the old price, not the reduced one.

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