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Mayank visits  three shops one by …

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Mayank visits  three shops one by one.At each shop,he spent two third of the money he had at that shop.If he is left with 32 with him after visiting the shop, find the amount of money he had in the beginning. 

  • 1 answers

Payal Singh 6 years, 11 months ago

Solution: 

Let money he had in beginning = Rs. x

Money spend on first shop = {tex}2x\over 3{/tex}

Remaining Money = {tex}x - {2x\over 3} = {x \over 3}{/tex}

Money spend on 2nd shop = {tex} {2\over 3}\times {x \over 3} = {2x\over 9}{/tex}

Remaining Money = {tex}{x\over 3} - {2x\over 9} = {x \over 9}{/tex}

Money Spend on 3rd shop = {tex}{2\over 3} \times {x \over 9} = {2x\over 27}{/tex}

Remaining Money = {tex}{x \over 9}- {2x\over 27} = {x \over 27}{/tex}

ATQ,

=> {tex}{x\over 27} = 32{/tex}

=> x = 864

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