The monthly incomes of two friends Ashish and Kiran,
The monthly incomes of two friends Ashish and Kiran, are in the ratio 5 : 8, respectively, and each of them saves ₹75,000 every month. If the ratio of their monthly expenditure is 2 : 4, find the monthly income of Ashish (in ₹).
दो मित्रों, आशीष और किरण की मासिक आय का क्रमशः 5 : 8 है, के अनुपात में है और उनमें से प्रत्येक हर महीने ₹75,000 बचत करता है। यदि उनके मासिक व्यय का अनुपात 2 : 4 है, तो आशीष की मासिक आय (₹ में) कितनी है?
Detailed Solution & Logic
1,87,500
Let the monthly incomes of Ashish and Kiran be $5x$ and $8x$ respectively. Their monthly expenditures are $E_A = 5x - 75,000$ and $E_K = 8x - 75,000$.
Given that the ratio of their expenditures is $1:2$, we have:
$ \frac{5x - 75,000}{8x - 75,000} = \frac{1}{2} $
Solving this:
$2(5x - 75,000) = 8x - 75,000$
$10x - 150,000 = 8x - 75,000$
$2x = 75,000$
$x = 37,500$
So, Ashish's monthly income = $5x = 5 \times 37,500 = 1,87,500$
✅ Correct Answer: ₹1,87,500
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