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In Mathematics / High School | 2025-07-03

A man had 0.08 part of his wealth invested in stocks, 0.3 part in FDs, 0.4 part amounting to ₹ 2,400 as gold, and the rest in cash. How much total cash and stocks did he have?

(1) ₹ 1,600
(2) ₹ 1,500
(3) ₹ 2,000
(4) ₹ 1,800

Asked by alevon9482

Answer (1)

To solve this problem, we need to determine the total amount of wealth and then calculate how much was held in cash and stocks.
Let's denote the man's total wealth as W .
According to the problem:

0.08 part of his wealth is invested in stocks.
0.3 part of his wealth is invested in Fixed Deposits (FDs).
0.4 part of his wealth is in gold, amounting to ₹2,400.

First, we find the total wealth W using the information about the gold investment:
0.4 W = 2400
Solving for W :
W = 0.4 2400 ​ = 6000
So, the total wealth W is ₹6,000.
Next, let's calculate the amount of money in cash and stocks.

Stocks: 0.08 part of W 0.08 × 6000 = 480

FDs: 0.3 part of W 0.3 × 6000 = 1800

Gold: We already know it's ₹2,400.

Cash: The rest of the wealth is in cash.
Total investment = Stocks + FDs + Gold
Total investment = 480 + 1800 + 2400 = 4680
Cash = Total Wealth - Total Investment
Cash = 6000 − 4680 = 1320


Therefore, the total amount in cash and stocks is:
480 + 1320 = 1800
Hence, the correct option is (4) ₹1,800.

Answered by JessicaJessy | 2025-07-06

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