In an examination, P scored 20% more marks than Q, Q scored 20% less marks than R and R scored 25% more marks than S. If P scored 480 marks out of 600, then find the marks of S.

Correct option is A

Given:
P scored 20% more marks than Q
Q scored 20% less marks than R
R scored 25% more marks than S
P scored 480 marks out of 600
Formula Used:
If A is x% more than B, then
A = B × (1 + $$\frac x{100}$$​)
If A is x% less than B, then
A = B × (1 − $$\frac x{100}$$​)
Solution:

$$\begin{aligned}&\Rightarrow \text{P's marks} = 480 \\&\Rightarrow \text{Q's marks} = \left(\frac{480}{120}\right) \times 100 = 400 \\&\Rightarrow \text{R's marks} = \left(\frac{400}{80}\right) \times 100 = 500 \\&\Rightarrow \text{S's marks} = \left(\frac{500}{125}\right) \times 100 = 400\end{aligned}$$​
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