The price of sugar increases by 32%. A family reduces its consumption so that the expenditure of the sugar is up by 10% only. If the total consumption of sugar before the price rise was 10 kg per month, then the consumption of sugar per month at present (in kg) is
- 8.33
- 8.5
- 8.75
- 9
Explanation
Let new consumption = x kg
Price increases by 32%, so new price = 1.32 × old price
Expenditure increases by 10%, so:
New price × new consumption = 1.10 × old price × old consumption
1.32 × x = 1.10 × 10
x = (1.10 × 10) ÷ 1.32 = 11 ÷ 1.32 ≈ 8.33 kg
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