CAT 2020 Question Paper (Slot 3) Question 63

Question 63

A person invested a certain amount of money at 10% annualĀ interest, compounded half-yearly. After one and a half years,Ā the interest and principal together became Rs.18522. TheĀ amount, in rupees, that the person had invested is


Correct Answer: 16000

Solution

Given,Ā 

Rate of interest = 10%

Since it is compounded half-yearly, R=5%

n=3

We know, A =Ā $$P\left(1+\frac{R}{100}\right)^{^n}$$

18522 =Ā $$P\left(1+0.05\right)^3$$

=> P = 16000


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