Rs. 44200 are divided between Ram and John so that Ram’s share at the end of 6 years may be equal to John’s share at the end of 4 years, the rate of interest is 10 percent compounded yearly. Find Ram’s share.

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22200

17000

20000

15400

answer is C.

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Detailed Solution

The rate of Interest compounded yearly

                     (1)
First of all, Let us assume that Ram’s share is Rs. x            (2)
Since Rs. 44200 has to be divided between Ram and John so the summation of the share of Ram and John must be equal to Rs. 44200. That is,
Share of Ram + Share of John = 44200                                (3)
Now, From equation (2) and (3), we get
X + share of John = 44200
Share of John      = Rs. (44200-x)                                         (4)
The formula for the amount
Question Image

Where n is the number of years (5)
By using the formula, Let us calculate the amount of Ram after 6 years.
Ram’s amount after Six years
Question Image

(6)
John’s amount after Four years.
Question Image

(7)
Then,