The monthly incomes of two friends, Amit and Gopal, are in the…
The monthly incomes of two friends, Amit and Gopal, are in the ratio 5:7 and each of them saves ₹72,000 per month. If the ratio of their monthly expenditures is 2:3, then find Amit’s monthly income (in ₹).
अमित और गोपाल की मासिक आय का अनुपात 5 : 7 है तथा दोनों में से प्रत्येक ₹72,000 प्रति माह बचाता है। यदि उनके मासिक व्यय का अनुपात 2 : 3 है, तो अमित की मासिक आय (₹ में) ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
₹3,60,000
Let the monthly incomes be $5x$ and $7x$.
Let the monthly expenditures be $2y$ and $3y$.
Since each saves ₹72,000,
$5x-2y=72000$
$7x-3y=72000$
Subtracting,
$2x-y=0$
$\Rightarrow y=2x$
Substitute in the first equation:
$5x-4x=72000$
$x=72000$
Amit's monthly income
$=5x=5\times72000=₹3,60,000$
Hence, the correct answer is ₹3,60,000.
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