Question

1.
2.
3.
4.
Answer (Detailed Solution Below)

Option 1 : Rs 7,000

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Detailed Solution

सही उत्तर Rs 7,000 है।

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Question:

The monthly incomes of two friends are in the ratio 3 : 4 and their monthly expenditures are in the ratio 2 : 3. If each of them saves Rs 1,000 per month, what is the sum of their monthly incomes? / दो मित्रों की मासिक आय का अनुपात 3 : 4 है और उनके मासिक व्यय का अनुपात 2 : 3 है। यदि प्रत्येक प्रतिमाह Rs 1,000 बचाता है, तो उनकी मासिक आय का योग क्या है?

1.
Rs 7,000
2.
Rs 6,000
3.
Rs 8,000
4.
Rs 9,000

Correct Answer: Rs 7,000

Let incomes be $3k$ and $4k$, expenditures $2m$ and $3m$. Then $3k - 2m = 1,000$ and $4k - 3m = 1,000$. Subtracting gives $m = k$, so $k = 1,000$. Sum of incomes $= 7,000$. / आय $3k$, $4k$; व्यय $2m$, $3m$ लें। तब $m = k = 1,000$। आय का योग $= 7,000$।

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