Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

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: a
Explanation: 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.
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.
Total installment,
2X = 210 + 21 + 23.1 – 0.1X,
X = $$\frac{{{\text{254}}{\text{.1}}}}{{2.1}}$$  = 121.

Join The Discussion