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, along 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 question that follows.

Note: Calculate simple Interest unless specified.

Person-wise Details of Money Invested

Person

Rate of Interest (%)

Time (in years)

Principal (in ₹)

Amount Received (in ₹)

A

6%

-

18000

-

B

6%

-

30000

-

C

-

5

-

29000

D

-

3

45000

-

E

8%

-

20000

-

F

-

2

60000

-

Sub-Question:

If the rate of interest received by A and C is in the ratio of 2:3, then the money invested by C will get doubled in ________ years.

  1. A.

    12 ¹/₇

  2. B.

    15 ½

  3. C.

    13 ⅓

  4. D.

    11 ¹/₉

Attempted by 2 students.

Show answer & explanation

Correct answer: D

First, identify the rate of interest for person A from the table, which is 6%.

Given the ratio of rates between A and C is 2:3, calculate person C's rate: Rate_C = (6% × 3) / 2 = 9%.

To find the time required to double the principal amount using simple interest, use the formula Time = 100 / Rate.

Substituting C's rate: Time = 100 / 9 years, which equals 11 ¹/₉ years.

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