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The expenses on food, entertainment and rent are in ratio 12 : 8 : 15 respectively. The expenses on these increased by 20%, 30% and 40%. Find the total expenses increased by what percentage compared to previous one.

The expenses on food, entertainment and rent are in ratio 12 : 8 : 15 respectively. The expenses on these increased by 20%, 30% and 40%. Find the total expenses increased by what percentage compared to previous one. Correct Answer 30.85%

Let the expenses be 120, 80 and 150

Increased expenditure on food = 120 × 1.2 = 144

Increased expenditure on entertainment = 80 × 1.3 = 104

Increased expenditure on rent = 150 × 1.4 = 210

Total expenditure = 144 + 104 + 210 = 458

∴ Percentage increase = × 100 = 30.85%

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