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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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14 1 % 8 -
7 1 % 8 -
56 1 % 8 -
28 1 % 8
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Correct Option: D
Let the initial expenses on rice, fish and oil be ₹ 12k, ₹ 17k and ₹ 3k respectively.
∴ Total expenditure = ₹ (12k + 17k + 3k) = ₹ 32k
After increase,
| Expenditure on rice = | ×12k = ₹ 14.4k | 100 |
| Expenditure on fish = | × 17k = ₹ 22.1k | 100 |
| Expenditure on oil = | × 3k = ₹ 4.5k | 100 |
Total expenditure = ₹ (14.4k + 22.1k + 4.5k) = ₹ 41k
Increase = ₹ (41k – 32k) = ₹ 9k
| ∴ Percentage increase = | ×100 | 32k |
| Percentage increase = | = 28 | % | ||
| 8 | 8 |
