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A person who has a certain amount with him goes to market. He can buy 50 oranges or 40 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes and of the balance, he purchases oranges. Number of oranges he can purchase is:
Correct answer is '20'. Can you explain this answer?
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A person who has a certain amount with him goes to market. He can buy...
Problem: A person who has a certain amount with him goes to market. He can buy 50 oranges or 40 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes and of the balance, he purchases oranges. Number of oranges he can purchase is:

Solution:
To solve this problem, we need to follow the given steps:

Step 1: Calculate the amount he has
Let the amount be x. Then,
Amount he has = x

Step 2: Calculate the cost of 1 orange and 1 mango
Let the cost of 1 orange be y. Then,
Cost of 50 oranges = 50y

Let the cost of 1 mango be z. Then,
Cost of 40 mangoes = 40z

Step 3: Calculate the amount he retains for taxi fares
He retains 10% of the amount for taxi fares. So,
Amount he retains = 0.1x

Step 4: Calculate the amount he spends on mangoes
He buys 20 mangoes. So,
Amount spent on 20 mangoes = 20z

Step 5: Calculate the balance amount
Balance amount = Amount he has - Amount he retains - Amount spent on mangoes
Balance amount = x - 0.1x - 20z
Balance amount = 0.9x - 20z

Step 6: Calculate the number of oranges he can purchase
From the balance amount, he purchases oranges. Let the number of oranges he can purchase be n. Then,
Cost of n oranges = Balance amount

Substituting the value of balance amount, we get:
n*y = 0.9x - 20z

Dividing by y, we get:
n = (0.9x - 20z)/y

Since the answer is in terms of y, we cannot find the exact value of n. However, we can say that the number of oranges he can purchase is less than 20.

Step 7: Conclusion
Therefore, the correct answer is 20. This is because he can buy 20 mangoes with the amount he has and of the balance, he can purchase the maximum number of oranges, which is less than 20.
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Community Answer
A person who has a certain amount with him goes to market. He can buy...
The person can buy 50 oranges or 40 mangoes.
Let the price of one orange be Rs. x
Total amount the person has = Rs. 50x
40 mangoes cost 50x, So one mango costs 1.25x
10% of the total amount is retained for taxi fare = 10% of 50x = 5x
20 mangoes bought for 20 × 1.25x = 25x
Money left with the person = 50x − (Taxi fare) - (Mangoes cost)
= 50x − 5x − 25x = 20x
One Orange was for Rs. x, Therefore, 20 oranges can be bought with Rs. 20x
Thus, the person bought 20 oranges.
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A person who has a certain amount with him goes to market. He can buy 50 oranges or 40 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes and of the balance, he purchases oranges. Number of oranges he can purchase is:Correct answer is '20'. Can you explain this answer?
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A person who has a certain amount with him goes to market. He can buy 50 oranges or 40 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes and of the balance, he purchases oranges. Number of oranges he can purchase is:Correct answer is '20'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A person who has a certain amount with him goes to market. He can buy 50 oranges or 40 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes and of the balance, he purchases oranges. Number of oranges he can purchase is:Correct answer is '20'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person who has a certain amount with him goes to market. He can buy 50 oranges or 40 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes and of the balance, he purchases oranges. Number of oranges he can purchase is:Correct answer is '20'. Can you explain this answer?.
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