Q. Jairam purchased a house in Rs 15000 and paid Rs 5000 at once. Rest money he promised to pay in annual installment of Rs 1000 with 10% per annum interest. How much money is to be paid by Jairam?

A) Rs 21555
B) Rs 20475
C) Rs 20500
D) Rs 20700
Explanation

(c)
It will take 10yr for Jairam to pay off Rs 10000 in 10 yearly installments.
$\therefore\ \$He pays 10% annual interest on remaining amount.
$\therefore\ \$Money given in the first year
$= 1000 + \frac{10000 \times 10}{100} = 1000 + 1000$
$= Rs\ 2000$
Money given in second year
$= 1000 + interest\ of\ (10000 - 1000)$
$= 1000 + \frac{9000 \times 10}{100} = 100 + 900 =$ Rs 1900
Similarly, money paid in third year = Rs 1800 etc.
So, money given by Jairam in 10 yr will be Rs 2000, Rs 1900, Rs 1800, Rs 1700 …
Which is in arithmetic progression, whose first term
$a = 2000$ and $d = - 100$
Total money given in 10 yr
$= \frac{10}{2}\left\lbrack 2(2000) + (10 - 1)( - 100) \right\rbrack =$ Rs 15500
Therefore, total money given by Jairam
$= 5000 + 15500 = \$Rs 20500

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.