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Q.

A man wants to divide a sum of Rs 37500 among his son and daughter aged 12 years and 14 years respectively in such a way that on attaining the age of 18 years each gets the same amount at Question Image p.a. simple interest. The son's share is:

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a

Rs. 19500

b

Rs. 18000

c

Rs. 15000

d

Rs. 20000 

answer is B.

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Detailed Solution

Concept- First, we assume the share of the son as a variable, and then we will measure the amount earned by the son and daughter after 18 years. To calculate the amount, we will use the simple interest formula mentioned in the solution.
Consider the son's share as Question Image.
Then, daughter's shareQuestion ImageWe know Question ImageAmount received by the son on turning 18 Question ImageAmount received by the daughter on turning 18Question ImageNow, Question ImageWhen solving for Question Image we get,
Question ImageHence, the correct answer is option 2.
 
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