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

*2520

Step-by-step 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

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

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

step-by-step explanation:

bob the banana