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?
Solution
Sure, let's solve this step by step:
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Let's assume Mr. Rama's income is X.
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He spends 30% of his income on food, so he is left with 70% of his income. We can represent this as 0.70X.
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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.
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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.
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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.
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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.
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