Mathematics TERM II
Arithmetic Progressions
Class 10 Session 2021-2022
Case Study Questions 04
Your elder brother wants to buy a car and plans to take loan from a bank for his car. He repays his total loan of Rs. 1,18,000 by paying every month starting with the first instalment of Rs. 1000. If he increases the instalment by Rs.100 every month, answer the following:
1. The amount paid by him in `30^{th}` installment is
(a) Rs. 3900
(b) Rs. 3500
(c) Rs. 3700
(d) Rs. 3600
(a) Rs. 3900
2. The total amount paid by him upto 30 installments is
(a) Rs. 37000
(b) Rs. 73500
(c) Rs. 75300
(d) Rs. 75000
(b) Rs. 73500
3. What amount does he still have to pay after `30^{th}` installment?
(a) Rs. 45500
(b) Rs. 49000
(c) Rs. 44500
(d) Rs. 54000
(c) Rs. 44500
4. If total installments are 40, then amount paid in the last installment is
(a) Rs. 4900
(b) Rs. 3900
(c) Rs. 5900
(d) Rs. 9400
(a) Rs. 4900
5. The ratio of the `1^{st}` installment to the last installment is
(a) 1 : 49
(b) 10 : 49
(c) 10 : 39
(d) 39 : 10
(b) 10 : 49