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bezimeni [28]
2 years ago
11

In a particular month, Ezhil spent one-fifth of her salary on shopping. Two-fifth of the remaining she gave to her sister. If sh

e has Rs 11 , 040 left, what was her salary in that month?
Mathematics
2 answers:
Oxana [17]2 years ago
5 0

Answer:

Salary = Rs23000

Step-by-step explanation:

Given

Shopping = \frac{1}{5}

Sister = \frac{2}{5}R

Left over = Rs11,040

Required

Her salary in that month

Given that she spent \frac{1}{5} of her salary on shopping, this implies that she has \frac{4}{5} of her salary left

From what's left, she gave her sister \frac{2}{5}

This means she gave her sister \frac{2}{5} * \frac{4}{5}

Sister = \frac{8}{25}

Calculating a fraction of what's left

Left over = 1 -Shopping - Sister

Left over = 1  - \frac{1}{5}- \frac{8}{25}

Left over = \frac{25 - 5 - 8}{25}

Left over = \frac{12}{25}

Recall that she has Rs11,040

This means that

\frac{12}{25} of Salary = Rs11,040

Multiply both sides by \frac{25}{12}

\frac{12}{25} * \frac{25}{12} * Salary = Rs11,040 * \frac{25}{12}

Salary = Rs11,040 * \frac{25}{12}

Salary = \frac{Rs276000}{12}

Salary = Rs23000

Hence, her salary for that month was Rs23000

Leno4ka [110]2 years ago
3 0

Answer:

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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