Question

In the repayment of a loan. the first instalment is valued Rs. 300 and then each instalment goes on increasing by Rs. 30. Then the sum paid in 31st instalment is

• A. 1800
• B. 900
• C. 1500
• D. 1200

Answer 1

The correct option is D 1200

$a=300,d=30,n=31$

$a_n=a+(n-1)d$

$a_{31}=300+(31-1)\times 30$

$=300+30\times 30$

$=300+900$

$=1200$

$\therefore$ The sum paid in ${31}^{st}$

instalment is Rs.1200