Ram Prasad saved Rs 10 in the first week of a year and then increased his weekly saving by Rs 2.75. If in the nth week, his savings become Rs 59.50, find n.

Given:

Ram Prasad saved Rs 10 in the first week of a year and then increased his weekly saving by Rs 2.75

In the nth week his saving becomes Rs59.50.

To do:  Find n.

Solution:

His weekly saving will be an A.P

a = 10, d = 2.75 , a_n = 59.50

$a_n = a+(n-1)d$

$10+(n-1)2.75 = 59.50$

$10+2.75n -2.75 = 59.50$

$2.75n= 59.50+2.75-10$

$2.75n= 49.50+2.75$

$2.75n = 52.25$

$n = \frac{52.25}{2.75}$

$n = 19$

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Updated on: 10-Oct-2022

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