A sum of Rs. 210 was taken as a loan. This is to be paid back in two equal installments. If the rate of the interest be 10% compounded annually, then the value of each installment is:
A. Rs. 121
B. Rs. 127
C. Rs. 210
D. Rs. 225
Answer: Option A
Solution(By Examveda Team)
Let X = equal installment at the end of one year( rate% annually) . Now 1st year, P =210, Interest = $$\frac{{{\text{PTR}}}}{{100}}$$ = 210 * 0.1 = 21. Let X is to be paid as an equal installment. Now, at the beginning of 2nd year, P = 210 + 21 - X, Interest at the end of 2nd year, = (231 - X) * 0.1 = 23.1 - 0.1X. Hence,total installment, 2X = 210 + 21 + 23.1 - 0.1X, X = $$\frac{{{\text{254}}{\text{.1}}}}{{2.1}}$$ = 121.Join The Discussion
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rate = 10% = 110/100=11/10
and given paid in two equal installments so square of 11 i.e. 121 so 121 is answer