From the salary of an officer, 10% is deducted as house rent, 20% of the rest, he spends on conveyance 20% of the rest he pays as income tax and 10% of the balance he spendes on clothes. Then he is left with Rs. 15552 .find his total salary?
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Suppose his salary is X
10% deducted as house rent so remaining is 0.9X
20% of the rest (rest is 0.9X) spends on conveyance so remaining will be 0.9X - 0.2(0.9X) = 0.72X
20% of the rest (now the rest is 0.72X) pays as tax so new remaining is 0.72X - 0.2(0.72X) = 0.576X
10% he spends on clothes so new remaining 0.576X - 0.1(0.576X) = 0.5184X
Now, he is left with Rs. 15552
So, 15552= 0.5184X
So, X = 15552/0.5184 = 30000
So his total salary is Rs. 30000
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10% deducted as house rent so remaining is 0.9X
20% of the rest (rest is 0.9X) spends on conveyance so remaining will be 0.9X - 0.2(0.9X) = 0.72X
20% of the rest (now the rest is 0.72X) pays as tax so new remaining is 0.72X - 0.2(0.72X) = 0.576X
10% he spends on clothes so new remaining 0.576X - 0.1(0.576X) = 0.5184X
Now, he is left with Rs. 15552
So, 15552= 0.5184X
So, X = 15552/0.5184 = 30000
So his total salary is Rs. 30000
Mark as brainliest if satisfied
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