In a bank, 6% interest is given on the deposited amount. The bank then invests the money in the stock market and is able to earn ₹30,000 for every ₹3,00,000. How much money is the bank earning finally if the total amount deposited in the bank is ₹60,00,000?
- (a)₹3,00,000
- (b)₹2,40,000
- (c)₹6,40,000
- (d)₹3,60,000
Answer
Why
Correct — B. Money comes in at one rate and goes out at another, so the bank keeps the gap.
First convert the odd unit: ₹30,000 earned on every ₹3,00,000 is 10%.
Earned on the stock market:
10% of ₹60,00,000 = ₹6,00,000
Paid out to depositors:
6% of ₹60,00,000 = ₹3,60,000
₹6,00,000 − ₹3,60,000 = ₹2,40,000 → option (b).
Why the others are wrong
- (a)₹3,00,000 — ₹3,00,000 is the investment unit the question uses to state the return, not money the bank keeps. It is a scale for the 10% figure, not an income.
- (c)₹6,40,000 — ₹6,40,000 is above the gross stock-market income of ₹6,00,000, so no subtraction can reach it. Nothing in the data earns the bank more than 10%.
- (d)₹3,60,000 — ₹3,60,000 is the interest paid out to depositors — the bank's cost, not its earning. Stopping here answers the outgo and skips the subtraction.
Concept
This is a spread question. Two rates act on the same principal, and the answer is the difference.
The first job is to make the rates comparable: ₹30,000 per ₹3,00,000 is 10%, so both sides of the deal are now percentages of the same ₹60,00,000.
Net rate = 10% − 6% = 4%, and 4% of ₹60,00,000 is ₹2,40,000 — a one-line route to the same answer that avoids two large multiplications.
The question says the bank invests the money, with no reserve fraction named, so the whole ₹60,00,000 is treated as invested. Any other assumption is not supported by the stem.
Key facts
- ₹30,000 earned on ₹3,00,000 is a 10% return.
- The bank's margin here is the 4-point gap between the 10% it earns and the 6% it pays.
- 4% of ₹60,00,000 is ₹2,40,000.
Study next
Common traps
- Answering ₹6,00,000 or ₹3,60,000 and forgetting one is subtracted from the other
- Applying the 10% to ₹3,00,000 instead of to the full deposit
Deposit-and-rate arithmetic also appears at 09 Sep 2024, 16:00, Quant Q.18, where ₹18,000 is split across two banks at 5% and 6% and the rate on the remaining capital has to be found.
Related PYQs
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