The ratio of the incomes of two persons is 9:7 and the ratio of their expenditures is 4:3. If each of them saves ₹2,000 per month, find their monthly incomes. दो व्यक्तियों की आय का अनुपात 9:7 है और उनके खर्च का अनुपात 4:3 है। यदि उनमें से प्रत्येक प्रति माह ₹2,000 बचाता है, तो उनकी मासिक आय ज्ञात कीजिए।
A
₹18,000; ₹14,000 (₹18,000; ₹14,000)
B
₹9,000; ₹7,000 (₹9,000; ₹7,000)
C
₹27,000; ₹21,000 (₹27,000; ₹21,000)
D
₹36,000; ₹28,000 (₹36,000; ₹28,000)
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Correct Answer ₹18,000; ₹14,000
Explanation
Let incomes be 9x, 7x. (9x - 2000) / (7x - 2000) = 4 / 3 => 3(9x - 2000) = 4(7x - 2000) => 27x - 6000 = 28x - 8000 => x = 2000. Incomes are 9*2000 = ₹18,000 and 7*2000 = ₹14,000.