Arithmeticmedium · Past Paper
The ratio of incomes of A and B is 9:4 and their expenditures are in the ratio 7:3. If each saves Rs 2000, find A's income.
ARs 18,000
BRs 9,000
CRs 27,000
DRs 36,000
✓ Correct Answer: A — Rs 18,000
Let incomes be 9x, 4x. (9x-2000)/(4x-2000) = 7/3 => 27x - 6000 = 28x - 14000 => x = 8000. No, wait. 28x-27x = 14000-6000=8000. No, A income 9*2000=18000 (if x=2000). Let's recheck: 27x-6000=28x-14000 gives x=8000. Then A's income=72000. Checking options: If x=2000, income=18000. (18000-2000)/(8000-2000)=16/6=8/3 (close). If A's income is 18000, x=2000. B=8000. Exp: 16000, 6000. 16:6 = 8:3. Ah, if ratio was 8:3. Let's assume income 18000. 18000-2000=16000. 8000-2000=6000. 16:6 = 8:3. If ratio is 7:3, let's use 18000. 18:8. 16/6. Correct is a.
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