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When the price of sugar was increased by 32%, a family reduced its consumption in such a way that the expenditure on sugar was only 10% more than before. If 10.8 kg was consumed per month before, then the new consumption of sugar per month is:

When the price of sugar was increased by 32%, a family reduced its consumption in such a way that the expenditure on sugar was only 10% more than before. If 10.8 kg was consumed per month before, then the new consumption of sugar per month is: Correct Answer 9 kg

Let the price of sugar be 100x.

Price of sugar after increment = 100x × (132/100) = 132x

Price ratio of sugar = 100x : 132x

Consumption is inversely proportional to price.

Consumption ratio of sugar before to after = 132x : 100x

New price of sugar if family wants to increase in expenditure on sugar 10% only

= 100x × (110/100) = 110x

Now price ratio of sugar = 100x : 110x

Now Consumption ratio of sugar before to after = 110x : 100x

⇒ Consumption ratio of sugar before, at 10% increase in price and at 32% increase in price

= 132x : 110x : 100x

⇒ 132x = 10.8 kg

⇒ x = 10.8/132

⇒ 110x = (10.8/132) × 110 = 9 kg

Hence, "9 kg" is the correct answer.

Shortcut Trick

Let consumption of sugar be x kg.

⇒ x = (110/132) × 10.8 = 9 kg

Hence, "9 kg" is the correct answer.

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