Question 43

P gets 360 marks out of a total score of 500. Marks of P are 10% less than Q's score. Q got 25% more than R, and R got 20% less than S. What is the percentage marks of S?

Solution

Let marks obtained by S = M

R's marks = 0.80M

Q's marks $$= (1.25)\times (0.80M)$$

P's marks$$= (0.90) \times(1.25)\times (0.80M)$$

= 0.9M

But 0.9M = 360

M = ?

M = 400

Hence % of marks obtained by S

$$= \frac{400}{500} \times 100 = 80$$%.

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