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 amount received by C is twice the money invested by him, then the amount he will receive after 2 years if he invests the same sum of money in compound interest for 2 years compounded half yearly, is

  1. A.

    ₹ 21,229.45

  2. B.

    ₹ 21,929.45

  3. C.

    ₹ 21,292.45

  4. D.

    ₹ 21,992.45

Attempted by 1 students.

Show answer & explanation

Correct answer: A

From the table, Person C's principal is ₹25,000 and time is 5 years. Since the amount received is twice the principal, Simple Interest equals ₹25,000. The rate of interest is calculated as (SI × 100) / (Principal × Time), which equals 20%. For compound interest over 2 years compounded half-yearly, the rate per period is 10% and periods are 4. The final amount is ₹25,000 × (1.1)^4 = ₹36,602.50.

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