A man spent 60% of his salary on household expenses, 20% of his salary on rent and out of remaining salary, he donated 80% to a trust. If he is left with ₹20,000, then what is his salary?
A man spent 60% of his salary on household expenses, 20% of his salary on rent and out of remaining salary, he donated 80% to a trust. If he is left with ₹20,000, then what is his salary?
एक आदमी अपने वेतन का 60% घरेलू खर्चों पर, 20% किराए पर खर्च करता है और
शेष वेतन में से 80% एक ट्रस्ट को दान कर देता है। यदि उसके पास ₹20,000 बचते हैं, तो उसका वेतन क्या है?
Detailed Solution & Logic
₹5,00,000
Let the salary be ₹x.
Household expenses = 60% ⇒ remaining = 40% of x
Rent = 20% ⇒ remaining after rent = $40% - 20% = 20%$ of x
So remaining salary = 20% of x = $0.2x$
He donates 80% of this remaining amount, so he keeps 20% of it.
Final amount left = 20% of $0.2x$ = $0.2 \times 0.2x = 0.04x$
Given final amount = ₹20,000
So, $0.04x = 20000$
$x = 20000 / 0.04 = 5,00,000$
Final Answer / अंतिम उत्तर: ✅ ₹5,00,000
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