(11) Gopal earns an income of \( \$ 5000 \) a month. He spends \( \$ 1250 \) on rent, \( \$ 700 \) on food, \( \$ 450 \) on leisure, \( \$ 100 \) on transportation and saves the rest. (a) What percentage of his expenditure is on food? (b) What percentage of his income goes to his savings?
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To find the percentage of Gopal's expenditure on food, we first need to calculate his total expenditure. Gopal spends: - Rent: \( \$ 1250 \) - Food: \( \$ 700 \) - Leisure: \( \$ 450 \) - Transportation: \( \$ 100 \) Total expenditure = \( 1250 + 700 + 450 + 100 = \$ 2500 \). Now, to find the percentage spent on food: \[ \text{Percentage on food} = \left( \frac{\text{Food expenditure}}{\text{Total expenditure}} \right) \times 100 = \left( \frac{700}{2500} \right) \times 100 = 28\%. \] For Gopal's savings, we first determine his total savings: \[ \text{Savings} = \text{Income} - \text{Total expenditure} = 5000 - 2500 = \$ 2500. \] Now, to find the percentage of his income that goes to savings: \[ \text{Percentage of income in savings} = \left( \frac{\text{Savings}}{\text{Income}} \right) \times 100 = \left( \frac{2500}{5000} \right) \times 100 = 50\%. \] So, the answers are: (a) 28% of his expenditure is on food. (b) 50% of his income goes to his savings.