Home
Class 12
MATHS
A man saves Rs. 200 in each of the first...

A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months In each of ther mupienent montha his saving increases by Rs, 40 more than the saving of immediately previous month. His total saving s from the start of service will be Rs. 11040 after

A

21 months

B

18 months

C

19 months

D

20 months

Text Solution

Verified by Experts

The correct Answer is:
A
Total savings=200+200+200+240+280+… to n months
Given total savings=11040
`rArr400+(n-2)/2(400+(n-3)cdot40)=11040`
`rArr(n-2)(140+20n)=10640`
`rArr20n^(2)+100n-280=10640`
`rArrn^(2)+5n-546=0`
`rArr(n-21)(n+26)=0`
`rArrn=21 as nne-26`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE|Exercise JEE Advanced Previous Year|16 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise (Numerical)|28 Videos

  • PROBABILITY II

    CENGAGE|Exercise NUMARICAL VALUE TYPE|2 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Advanced Previous Year|11 Videos

Similar Questions

Explore conceptually related problems

A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of swrvice will be Rs. 11040 after

A man saves Rs.100 in the first month of his service. In each of the subsequent months his saving increases by twice of the saving of immediately previous month. His total saving from the start of service will be Rs.409500 after :-

A man saved ₹ 33000 in 10 months. In each month after the first, he saved ₹ 100 more than he did in the preceding month. How much did he save in the first month?

Mihir saves 40 % of the money that he receives each month. If he saves Rs. 600 each month, then find the amount he gets monthly.

Yasmeen saves Rs. 32 during the first month, Rs. 36 in the second month and Rs. 40 in the third month. If she continues to save in this manner, in how many months will she save rS. 2000?