In a particular month, Ezhil spent one-fifth of her salary on shopping. Two-fifth of the remaining she gave to her sister. If she has Rs 11 , 040 left, what was her salary in that month?

Step-by-step explanation:

Given

Required

Her salary in that month

Given that she spent of her salary on shopping, this implies that she has of her salary left

From what's left, she gave her sister

This means she gave her sister

Sister =

Calculating a fraction of what's left

Recall that she has Rs11,040

This means that

Multiply both sides by

Hence, her salary for that month was Rs23000

Her salary = Rs 23000

Step-by-step explanation:

In a month, Ezhil spent 1/5 of her salary on shopping.

Let

Her salary = a

she spent 1/5 of a on shopping

Amount spent on shopping = 1a/5

She gave 2/5 of the remaining to her sister .

The remaining money = a - 1a/5 = 5a - a/5 = 4a/5

She gave 2/5 of 4a/5 to her sister. Therefore,

The amount she gave to her sister = 2/5 × 4a/5 = 8a/25

Out of her salary she is left with Rs 11040 .Therefore,

a - 1a/5 - 8a/25 = 11040

25a - 5a - 8a/25 = 11040

12a/25 = 11040

12a = 11040 × 25

12a = 276000

divide both sides by 12

a = 276000/12

a = 23000

Her salary = Rs 23000

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step-by-step explanation: