Question

# If A exceeds B by 40% and B is less than C by 20%, then A:C is –$A{\text{ 28:25}} \\ {\text{B 26:25}} \\ {\text{C 3:2}} \\ {\text{D 3:1}} \\$

Hint: Here we will proceed by assuming B = 100 and C = X. Then using the given conditions, we find A and as well, now divide the values of A and C to get the ratio.

Let us assume B = 100 and C = X
As per given statement i.e. A exceeds B by 40%-
$\Rightarrow A = 100 + 40\% {\text{ of 100 = 140}}$
Also, we are given that B is less than C by 20% and we assumed C = X,
$\Rightarrow X - 20\% {\text{ of X = 100}}$
$\Rightarrow$ 0.8X = 100
$\Rightarrow$ X = 125
As we assumed C = X = 125,
Then C = 125
Now we will find the ratio by dividing the values of A and C,
$\therefore A:C = \dfrac{{140}}{{125}} = 28:25$
Hence option A is right.

Note: In order to solve this type of question, we can also assume any variable instead of x as we did in the above question. Also we must be careful while reading the statements given in the question.