# 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%

**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%.