# Kanchan spends 1/2 of her money in one shop.she spends 1/3 of what was left with her on rickshaw fare. At the end ,she has rs20 with her. how much did she have in the beginning?

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by amohan40

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by amohan40

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Let Kanchan have Rs X with her in the beginning.

Then Rs X/2 she is left with after shopping.

Afterwards 1/3 of (X/2) is spent on rickshaw.

So (1 - 1/3) rd of (X/2) is what she is left with.

(2/3) * X/2 is left with her after rickshaw fare.

=> X/3 = Rs 20

So she had Rs 60. with her in the beginning.

Then Rs X/2 she is left with after shopping.

Afterwards 1/3 of (X/2) is spent on rickshaw.

So (1 - 1/3) rd of (X/2) is what she is left with.

(2/3) * X/2 is left with her after rickshaw fare.

=> X/3 = Rs 20

So she had Rs 60. with her in the beginning.