Arithmetic

Percentages

Medium

The price of rice increases by 30%. A family reduced its consumption so that the expenditure of the rice is up only by 10%. If the total consumption of the rice before the price rise was 10 kg per month, then the consumption of rice per month at present (in kg) is:

$7\frac{6}{15}$

$8\frac{1}{15}$

$8\frac{6}{13}$

$8\frac{5}{13}$

✅ Correct Option: 3

Let original price = $P$ and new price = $1.3P$ . Original expenditure = $10P$ ; new expenditure = $1.1 \times 10P = 11P$ . New consumption = $11P / 1.3P = 110/13 = 8\frac{6}{13}$ kg.

Note: The calculated value $110/13$ equals $8\frac{6}{13}$ , which matches option 3; option 4 as printed shows $8\frac{5}{13}$ .

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Solution

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