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Select the correct answerMr. Rama Spend 30% of his income on food. 20% of the remaining on books 10% of remaining on entertainment and save the remaining Rs. 10,080. Find his income?OptionsRs. 16,800Rs. 20,160Rs. 20,000Rs. 25,200

Question

Select the correct answerMr. Rama Spend 30% of his income on food. 20% of the remaining on books 10% of remaining on entertainment and save the remaining Rs. 10,080. Find his income?OptionsRs. 16,800Rs. 20,160Rs. 20,000Rs. 25,200

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Solution

Let's solve this step by step:

  1. Let's assume Mr. Rama's income is X.

  2. He spends 30% of his income on food, so he is left with 70% of his income. We can represent this as 0.7X.

  3. He then spends 20% of the remaining income on books. So, he is left with 80% of his remaining income. We can represent this as 0.8 * 0.7X = 0.56X.

  4. He then spends 10% of the remaining income on entertainment. So, he is left with 90% of his remaining income. We can represent this as 0.9 * 0.56X = 0.504X.

  5. We know that the remaining amount, after all the expenses, is Rs. 10,080. So, we can set up the equation 0.504X = 10,080.

  6. Solving this equation for X gives us X = 10,080 / 0.504 = Rs. 20,000.

So, Mr. Rama's income is Rs. 20,000. The correct answer is Rs. 20,000.

This problem has been solved

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