From the salary of an officer, 10% is
From the salary of an officer, 10% is deducted as house rent. Of the remaining amount, he spends 20% on conveyance, 20% of the rest on income tax, and 10% of the balance on clothes. He is left with ₹23,328. What is his total salary?
एक अधिकारी के वेतन में से 10% की कटौती मकान के किराये के रूप में की जाती है। वह शेष राशि का 20% परिवहन पर, शेष राशि का 20% इनकम टैक्स पर, और शेष राशि का 10% कपड़ों पर खर्च करता है। उसके पास ₹23,328 बचते हैं। उसका कुल वेतन ज्ञात कीजिए।
Detailed Solution & Logic
₹45,000
Let the total salary be ₹$x$.
Step 1: House rent deduction
10% is deducted, so the remaining salary becomes
$0.9x$
Step 2: Conveyance expense
He spends 20% of this amount, so remaining salary is
$0.8 \times 0.9x = 0.72x$
Step 3: Income tax deduction
20% of the remaining amount is deducted, so balance becomes
$0.8 \times 0.72x = 0.576x$
Step 4: Clothes expense
10% of this balance is spent, so remaining amount is
$0.9 \times 0.576x = 0.5184x$
Step 5: Final amount given
He is left with ₹23,328, therefore
$0.5184x = 23328$
$x = \frac{23328}{0.5184} = 45000$
Answer: ₹45,000
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