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If Amit makes a monthly salary of Rs.32000 and he spends $14$ of his income on food, $310$ on housing costs, and $521$ on his children's education then what amount of cash does he still have?

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R s .12800

R s .13000

R s .12000

R s .14000

answer is A.

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Detailed Solution

Given:
The total earnings of Amit

= R s .32000

. Fraction spent on food

= 14

. Fraction spent on house rent

= 310

. Fraction spent on education of children

= 521

. Now determine the amount spent on food.
So, amount of money spent on food = fraction spent on food

×

total earnings.
Amount of spent on food

= 14 × 32000

= 14 × 320001

Amount of spent on food

= R s .8000

. Now determine the value of the amount left after spending on food.
So, amount left after spending on food = total earnings – amount spent on food
=Rs.32000-Rs.8000.
Thus, amount left after spending on food

= R s .24000

. --------------(1)
Now determine the value of the amount spent on house rent.
Amount spent on rent =fraction spent on house rent

×

amount left after spending on food
So, amount spent on rent

= 310 × 24000

= 310 × 240001

= 31 × 24001

Amount spent on rent

= R s .7200

. --------------(2)
Now, determine the amount left after spending on house rent.
Amount left after spending on house rent = amount left after spending on food –amount spent on education.
Substitute the value of equation (1) and (2) in above equation,
=Rs.24000-Rs.7200
Amount left after spending on house rent

= R s .16800

. Now, determine the amount spent on education.
Amount spent on education = fraction spent on education

×

amount spend after spending on food
Amount spent on education

= 521 × 16800

= 521 × 168001

Amount spent on education

= R s .4000

. Amount left after spending on education = amount left after spending on house rent – amount spent on education.
=Rs.16800-Rs.4000
Amount left after spending on education