Questions & Answers

Question

Answers

$

A{\text{ 28:25}} \\

{\text{B 26:25}} \\

{\text{C 3:2}} \\

{\text{D 3:1}} \\

$

Answer
Verified

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.

Complete step-by-step answer:

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.

Complete step-by-step answer:

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.

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