The following table shows the details about money invested (principal) in a…

2023

The following table shows the details about money invested (principal) in a bank at a certain rate of interest for a given period of time by six different male persons A-F, alongwith with the amount received (in ₹). Some values are missing in the table (indicated as '-') that you are expected to calculate if required. Based on the data in the table, answer the questions that follow.

Person-wise Details of Money Invested

Person

Rate of Interest (%)

Time (in years)

Principal (in ₹)

Amount Received (in ₹)

A

6%

-

10000

-

B

6%

-

30000

-

C

-

5

-

25000

D

-

3

45000

-

E

8%

-

20000

-

F

-

2

60000

-

Note: Calculate simple Interest unless specified.

If the difference between the interest received by E and B is ₹ 4200 and E invested his money for double the time period for which B invested his money, then the amount received by E is

  1. A.

    ₹ 30,000

  2. B.

    ₹ 28,600

  3. C.

    ₹ 29,600

  4. D.

    ₹ 35,400

Show answer & explanation

Correct answer: C

Let time for B be t years, so E's time is 2t. Simple Interest for B is (30000 * 6 * t)/100 = 1800t. Simple Interest for E is (20000 * 8 * 2t)/100 = 3200t. The difference is 3200t - 1800t = 4200, giving 1400t = 4200 or t = 3. E's time is 6 years, so SI is 9600. Amount received by E is 20000 + 9600 = 29600.

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