Question

Kalpana saves
some amount every month
In first three months she saves ₹ 150
and ₹ 200 respectively
In how many
months will she save ₹ 1200?​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

SOLUTION

GIVEN

Kalpana saves some amount every month. In first three months she saves ₹ 100 , ₹ 150 and ₹ 200 respectively

TO DETERMINE

The number of months she will save ₹ 1200

EVALUATION

Here it is given that Kalpana saves some amount every month.

In first three months she saves ₹ 100 , ₹ 150 and ₹ 200 respectively

So savings in first three months

100 , 150 , 200

First term = a = 100

Second Term = 150

Third term = 200

∴ Second Term - First term = Third term - Second Term

So the numbers are in Arithmetic Progression

Common Difference = d = 150 - 100 = 50

Let after n months she will save ₹ 1200

So by the given condition

$\sf{a + (n - 1)d = 1200}$

$\sf{ \implies \: 100 + 50(n - 1) = 1200}$

$\sf{ \implies \: 50(n - 1) = 1100}$

$\sf{ \implies \: (n - 1) =22}$

$\sf{ \implies \: n = 23}$

Hence after 23 months she will save ₹ 1200

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