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In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: An alloy contains 20% copper by weight. How much more copper should be added to the 100 kg of alloy to double the share of Copper percentage-wise in the alloy? Quantity B: A man has money to buy only 17 kg of sugar. If the price of sugar is reduced by 15% (per kg), then how many kg sugar he can buy now?

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: An alloy contains 20% copper by weight. How much more copper should be added to the 100 kg of alloy to double the share of Copper percentage-wise in the alloy? Quantity B: A man has money to buy only 17 kg of sugar. If the price of sugar is reduced by 15% (per kg), then how many kg sugar he can buy now? Correct Answer Quantity A > Quantity B

Quantity A:

Copper in the alloy by weight = 20/100 × 100 = 20 kg

⇒ Remaining metal weight = 80 kg

⇒ This weight of remaining metal will constitute (100 – 2 × 20) = 60% of the alloy

∴ Total weight of the alloy after adding the copper = 80/60 × 100 = 133.34 kg

⇒ Amount of copper to be added = 133.34 – 100 = 33.34 kg

Quantity B:

Let the initial price of the sugar be Rs. ’x’ per kg.

Thus, total money he has = Rs. 17 x

New price of sugar = x – 0.15 x = Rs. 0.85 x

With reduced price of sugar, he can now buy = 17 x / 0.85 x = 20 kg of sugar

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