Question : When the price of sugar increased by 28%, a family reduced its consumption per month such that the expenditure on sugar was only 12% more than the earlier one. If the family consumed 18.4 kg of sugar per month earlier, then what is its new consumption of sugar per month?
Option 1: 15.75 kg
Option 2: 16.1 kg
Option 3: 15.8 kg
Option 4: 16.6 kg
Correct Answer: 16.1 kg
Solution :
Let the price of 1 kg sugar be 100.
So, total expenditure before price hike = 18.4 × 100 = 1840
New price = 100 + 28 = 128
New expenditure $=\frac{100+12}{100}×1840=\frac{112}{100}×1840=2060.8$
So, the new quantity of sugar expenditure = $\frac{2060.8}{128}=16.1$ kg
Hence, the correct answer is 16.1 kg.
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