MAT Exam 2023 Paper

Concept:Expenditure is price multiplied by consumption, so new consumption is found by dividing the new expenditure by the new price.Explanation:Let the original price be $\text{₹}1$ per $\mathrm{kg}$.Original consumption was $30\ \mathrm{kg}$ per month, so original expenditure $= 1 \times 30 = \text{₹}30$.Price increased by $32\%$, so new price $= 1 + 1 \times \frac{32}{100} = \text{₹}1.32$ per $\mathrm{kg}$.Expenditure increased by $10\%$ only, so new expenditure $= 30 + 30 \times \frac{10}{100} = \text{₹}33$.Thus, new consumption $= \frac{\text{new expenditure}}{\text{new price}} = \frac{33}{1.32} = 25\ \mathrm{kg}$.Therefore, the family now consumes $25\ \mathrm{kg}$ per month.Answer:$25$ kg (Option C).