If a person spends 40% of his income on food, 20% on house rent and 70%

If a person spends 40% of his income on food, 20% on house rent and 70% of the remaining on children’s education, then the percentage of his income left is
(a) 8%
(b) 10%
(c) 6%
(d) 12%

Anurag Mishra Professor Asked on 27th March 2016 in Maths.
Add Comment
1 Answer(s)

Answer: (d) 12%

Explanation:-
Let the total income of a person be Rs. X
If a person spends 40% of his income on food and 20% on house rent.
Then, remaining = X – (X x 40/100 + X x 20/100)
= X – (2 X/5 + X/5)
= X –  3 X/5
= (5 X – 3 X)/5
= 2 X/5

And 70% of remaining on children’s education.
Then, his left income = 2 X/5 – (2 X x 70/5 x 100)
= 2 X/5 – 7 X/25
= (10 X – 7 X)/25
= 3 X/25

So, the percentage of income left = (3 X/25) x 100/X
= 300/25
= 12 %

Hence, the correct answer is option (d) 12%.

Anurag Mishra Professor Answered on 27th March 2016.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.