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Select the correct answerBy selling 45 lemons for Rs. 40, a man loses 20%. How many should he sell for Rs. 24 to gain 20% in the transaction?Options191518None of these

Question

Select the correct answerBy selling 45 lemons for Rs. 40, a man loses 20%. How many should he sell for Rs. 24 to gain 20% in the transaction?Options191518None of these

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Solution

To solve this problem, we first need to find the cost price of one lemon.

  1. We know that by selling 45 lemons for Rs. 40, the man incurs a loss of 20%. This means that Rs. 40 is only 80% of the cost price (since 100% - 20% = 80%).

  2. To find the cost price (100%), we can set up the equation: 80/100 = 40/Cost price Solving for Cost price gives us Rs. 50.

  3. So, the cost price of 45 lemons is Rs. 50. Therefore, the cost price of one lemon is 50/45 = Rs. 1.11 (approximately).

  4. Now, if the man wants to gain 20% in the transaction, he should sell each lemon for 120% of the cost price.

  5. 120% of Rs. 1.11 is 1.33 (approximately).

  6. Finally, to find out how many lemons he should sell for Rs. 24 to gain 20% in the transaction, we divide 24 by the selling price of one lemon (Rs. 1.33).

  7. 24/1.33 = 18.04.

Since he can't sell a fraction of a lemon, he should sell 18 lemons to gain 20% in the transaction.

So, the correct answer is 18.

This problem has been solved

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