The expenses on rice, fish and oil of a family are in the
The expenses on rice, fish and oil of a family are in the ratio 12 : 17 : 3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of family on these articles are increased by
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Answer is : \(28 \frac{1}{8}\%\)
Explanation:
Ratio of the expenses on rice, fish, and oil = 12 : 17 : 3
Let the expences be 12x, 17x and 3x
Total expenditure = 12x + 17x + 3x = 32x
Increased expenditure on rice = 12x × (1 + 20/100) = 14.4x
Increased expenditure on fish = 17x × (1 + 30/100) = 22.1x
Increased expenditure on oil = 3x × (1 + 50/100) = 4.5x
Total expenditure after increase = (14.4x + 22.1x + 4.5x) = 41x
Increased expenditure = 41x - 32x = 9x
Percentage increase in the expenditure = \(\frac{9x * 100}{32} = 28.125\%\)
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