# A man spend 20% on fooding 30% of rest on transport and 1/3 of rest on clothes.if he saves 2520 monthly then what is his monthly income?

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by shad1

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by shad1

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Amount spent on fooding = 20% of x

= (20/100) of x

= (1/5) × x

= x/5 Rs

Remaining money = x - x/5

= (5x-x)/5

= 4x/5 Rs

Amount of money spent on transport = 30% of the rest

= (30/100) of 4x/5

= (3/10) × (4x/5)

= 12x/50

= 6x/25 Rs

Amount saved = Rs 2520

Now we can write a relation as

x/5 + 6x/25 +2520 = x

⇒x/5 + 6x/25 - x = -2520

⇒ (5x + 6x - 25x)/25 = -2520

⇒ -14x/25 = -2529

⇒ -14x = -2520 ×25

⇒ -14x = -6300

⇒ x = -6300/ -14

∴ x =4500

Therefore the salary of the person is Rs 4500