A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar. A. Rs. 10 per Kg B. Rs. 8 per Kg C. Rs. 6 per Kg D. Rs. 5 per Kg Answer: Option A

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Solution(By Apex Team)

It is based on inverse proportion or product constancy concept. Reduction in price 20% amount of sugar will increase 25% It means, 25% = 6 Kg. So, Initially, total Sugar = 6 × 4 = 24Kg. Thus, Original price of the sugar was, $\frac{24}{24}$ = Rs. 10 per kg. Note: Let initial price of 100 kg Sugar was Rs. 100. Now, 20% decrease in rate then rate of 100 kg sugar would be Rs. 80. So, Rs. 80 = 100 kg sugar. Rs. 1 $=\frac{100}{80}$ kg sugar. Rs. 100 $=\frac{100 \times 100}{80}$ = 125 Kg sugar. Increment in sugar = 25 kg. % increment $=\frac{25 \times 100}{100}$ = 25%. Means 20% rate decrease, 25% of consumption increase.

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