A landlord bought a flat for ₹8,00,000. He wants to earn a 9% annual return on his investment after paying ₹2,000 per month for maintenance. What should be the monthly rent he charges?
- (a)₹7,000
- (b)₹7,500
- (c)₹8,000
- (d)₹8,500
Answer
Why
Correct — C. The rent must cover the return he wants plus the maintenance.
Return per year: 9% of 8,00,000 = ₹72,000
Return per month: 72,000 ÷ 12 = 6,000
Add maintenance: 6,000 + 2,000 = ₹8,000 → option (c)
Why the others are wrong
- (a)₹7,000 — ₹7,000 less ₹2,000 maintenance leaves ₹5,000 a month, ₹60,000 a year, only 7.5% of ₹8,00,000, short of the 9% target.
- (b)₹7,500 — ₹7,500 less maintenance leaves ₹5,500 a month, ₹66,000 a year, or 8.25%. That is still under the 9% he wants.
- (d)₹8,500 — ₹8,500 less maintenance leaves ₹6,500 a month, ₹78,000 a year, or 9.75%. That overshoots the 9% he asked for.
Concept
Work out what the landlord must keep, then what he must charge.
The 9% return is on the ₹8,00,000 he paid, so it is ₹72,000 a year, or ₹6,000 a month.
Maintenance comes out of the rent every month, so the rent has to cover both: return plus cost. Put every figure in the same time unit before adding.
The maintenance is a running monthly cost paid out of the rent, not part of the ₹8,00,000 investment, so it is added to the monthly return rather than to the base.
Key facts
- 9% of ₹8,00,000 = ₹72,000 a year.
- ₹72,000 a year = ₹6,000 a month.
- Required rent = monthly return + monthly maintenance = ₹6,000 + ₹2,000 = ₹8,000.
Study next
Common traps
- Stopping at ₹6,000, the return alone, and forgetting that maintenance comes out of the rent.
- Adding the monthly ₹2,000 to the yearly ₹72,000 before dividing by 12, which gives about ₹6,167.
This item frames an annual percentage return as a monthly rent with a monthly cost on top. Turning an annual rate into a figure for months is also asked 12 Sep 2024, 16:00, Quant Q.5 (interest on ₹6,700 for 13 months at 12% a year).
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