Question

1. A person spends1/4 -part of his

income on food, 2/3part on house
rent and remaining * 630 on other
items. Find his house rent.
(a) * 2050
(b) 5040
(c) * 1000
(d) None of these​

Answer 1

*2520

Explanation:

A quarter of him income was spent on food

X (representing his income) - x/4= 3x/4

Then 2/3 was spent on house rent. Notice the, the question didnt say 2/3 of his income. Therefore it would be 2/3 of what is remaining after he pays for food.

2/3 * 3x/4= x/2

3x/4-x/2=x/4.

The remaining after all expenses are paid is 630. So:

x/4=630

x=630*4

x=2520

Answer 2

1/4 + 2/3 + 1/12 = 1

That is fraction on

Food + house rent + other items = Total amount

If 1/12 = 630.............. equation 1

Then 1/4 + 2/3 = 11/12

11/12= x................. equation 2

Cross multiply equation 1 & 2

1/12*x = 1155/2

To find x, cross multiply again

2x = 13860

x = 13860/2

x = 6930

This means that 11/12 + 1/12 = 6930 + 630

= 7560

Therefore 2/3(fraction for house rent)*7560(total amount)=5040

Answer is 5040