Advertisements
Advertisements
Question
Mrs. Gupta repays her total loan of Rs. 1,18,000 by paying installments every month. If the installments for the first month is Rs. 1,000 and it increases by Rs. 100 every month, What amount will she pays as the 30th installments of loan? What amount of loan she still has to pay after the 30th installment?
Advertisements
Solution
Total amount of loan = Rs. 1,18,000
First installment = a = Rs. 1000
Increase in installment every month = d = Rs. 100
30th installment = t30
= a + 29d
= 1000 + 29 × 100
= 1000 + 2900
= Rs. 3900
Now, amount paid in 30 installments = S30
= `30/2 [2 xx 1000 + 29 xx 100]`
= 15[2000 + 2900]
= 15 × 4900
= Rs. 73,500
∴ Amount of loan to be paid after the 30th installments
= Rs. (1,18,000 – 73,500)
= Rs. 44,500
APPEARS IN
RELATED QUESTIONS
In an A.P., if S5 + S7 = 167 and S10=235, then find the A.P., where Sn denotes the sum of its first n terms.
How many terms of the A.P. 18, 16, 14, .... be taken so that their sum is zero?
If the sum of first m terms of an A.P. is the same as the sum of its first n terms, show that the sum of its first (m + n) terms is zero
Find the sum of n terms of an A.P. whose nth terms is given by an = 5 − 6n.
The sum of first three terms of an AP is 48. If the product of first and second terms exceeds 4 times the third term by 12. Find the AP.
HINT: Let these terms be (a – d), a, (a + d).
In an A.P. 19th term is 52 and 38th term is 128, find sum of first 56 terms.
Ramkali would need ₹1800 for admission fee and books etc., for her daughter to start going to school from next year. She saved ₹ 50 in the first month of this year and increased her monthly saving by ₹ 20. After a year, how much money will she save? Will she be able to fulfil her dream of sending her daughter to school?
The sum of n terms of two A.P.'s are in the ratio 5n + 9 : 9n + 6. Then, the ratio of their 18th term is
The sum of first ten natural number is ______.
Measures of angles of a triangle are in A.P. The measure of smallest angle is five times of common difference. Find the measures of all angles of a triangle. (Assume the measures of angles as a, a + d, a + 2d)
