The price of an apple is twice that of an orange. The price of an orange is thrice that of a banana.…
The increase is 17%. Let a banana cost ₹ 1; then an orange costs ₹ 3 and an apple ₹ 6, so one of each costs ₹ 10. After the rises: apple 6.6, orange 3.9, banana 1.2, total ₹…
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The price of an apple is twice that of an orange. The price of an orange is thrice that of a banana. The price of an apple increases by 10%, the price of an orange by 30% and the price of a banana by 20%. Find the percentage increase in the price of 20 apples, 20 oranges and 20 bananas taken together.
Answer and explanation
Correct answer B
The increase is 17%. Let a banana cost ₹ 1; then an orange costs ₹ 3 and an apple ₹ 6, so one of each costs ₹ 10. After the rises: apple 6.6, orange 3.9, banana 1.2, total ₹ 11.7. Equal quantities (20 of each) do not change the percentage, so the rise is 1.7 ÷ 10 = 17%. Equivalently, the rise is the price-weighted average 0.6 × 10% + 0.3 × 30% + 0.1 × 20% = 17%, so 19%, 15% and 13% do not fit.
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Common Management Admission Test (CMAT)