Ravi invests $50\%$ of his monthly savings in fixed deposits. Thirty percent of the rest of his savings is invested in stocks and the rest goes into Ravi's savings bank account. If the total amount deposited by him in the bank (for savings account and fixed deposits) is Rs. $59500$ , then Ravi's total monthly savings (in Rs.) is

Entered answer:

✅ Correct Answer: 70000

Let's call Ravi's total monthly savings $S$ (in Rs).

We find that Ravi invests 50% of his total savings in fixed deposits.

Fixed Deposits $= 50\%$ of S $= \frac{50}{100} \times S = 0.5S$

After putting money in fixed deposits, the remaining amount is:

Remaining $= S - 0.5S = 0.5S$

The stocks and savings account will come from this remaining amount, not from the original total.

30% of the remaining amount goes into stocks:

Stock Investment $= 30\%$ of remaining $= \frac{30}{100} \times 0.5S = 0.15S$

The rest goes into the savings bank account:

Savings Account $=$ Remaining $-$ Stock Investment $= 0.5S - 0.15S = 0.35S$

The total amount in the bank (fixed deposits + savings account) equals Rs 59500:

Total in Bank $=$ Fixed Deposits $+$ Savings Account

$59500 = 0.5S + 0.35S$

$59500 = 0.85S$

$S = \frac{59500}{0.85}= \frac{59500 \times 100}{85} = 70000$

Therefore, Ravi's total monthly savings = Rs 70000

When dealing with "rest of the amount" problems, we always remember that subsequent percentages are calculated on the remaining amount, not the original total. This is why 30% of the rest became 15% of the total (30% of 50% = 15%).

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