Question:
Gopal went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 10% of the money for taxi fare. If he buys 20 mangoes, then the maximum number of oranges he can buy is
Gopal went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 10% of the money for taxi fare. If he buys 20 mangoes, then the maximum number of oranges he can buy is
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Let his money be M. He can spend only 90% of it. Work out the cost of 20 mangoes and what is left for oranges.
Updated On: Nov 5, 2026
- 25
- 18
- 20
- 6
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The Correct Option is C
Solution and Explanation
Step 1: Prices:
Let the money be \(M\). One orange costs \(\tfrac{M}{50}\) and one mango costs \(\tfrac{M}{40}\).
Step 2: Money available for fruit:
He keeps 10% for the taxi, so he can spend \(0.9M\).
Step 3: Cost of 20 mangoes:
\(20 \times \tfrac{M}{40} = 0.5M\).
Money left for oranges: \(0.9M - 0.5M = 0.4M\).
Step 4: Oranges:
\(\dfrac{0.4M}{M/50} = 0.4 \times 50 = 20\).
Final Answer:
The correct option is (3): 20
Let the money be \(M\). One orange costs \(\tfrac{M}{50}\) and one mango costs \(\tfrac{M}{40}\).
Step 2: Money available for fruit:
He keeps 10% for the taxi, so he can spend \(0.9M\).
Step 3: Cost of 20 mangoes:
\(20 \times \tfrac{M}{40} = 0.5M\).
Money left for oranges: \(0.9M - 0.5M = 0.4M\).
Step 4: Oranges:
\(\dfrac{0.4M}{M/50} = 0.4 \times 50 = 20\).
Final Answer:
The correct option is (3): 20
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