When 2 1 2 is added to a number and the sum is multiplied by 4 1 2 and then 3 is added to the produ...........

Quantitative Aptitiude (CLAT) Number System

When 2 1/2 is added to a number and the sum is multiplied by 4 1/2 and then 3 is added to the product and then the sum is divided by 1 1/5, the quotient becomes 25. What is that number?

2 1/2

3 1/2

4 1/2

5 1/2

Explanation:

Let the no. be x.
[ { (5/2 + x)*9/2} + 3] / (6/5) = 25
[ { (5/2 + x)*9/2} + 3] = 25 * (6/5)
[ { (5/2 + x)*9/2} + 3] = 30
{ (5/2 + x)*9/2} = 30 - 3
{ (5/2 + x)*9/2} = 27
(5/2 + x) = 27/(9/2)
(5/2 + x) = 27*2/9
(5/2 + x) = 6
x = 6 - 5/2
x = 7/2
x = 3 ½