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Mr. 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?

Question

Mr. 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?

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Solution

Sure, 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 0.70X.

  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 0.80 * 0.70X = 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 0.90 * 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. To solve for X, we divide both sides of the equation by 0.504. So, X = 10,080 / 0.504 = Rs. 20,000.

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

This problem has been solved

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