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Some pens are divided among P, Q, R, and S. P gets twice the number of pens that Q gets. R gets the same number of pens as S gets. If P gets 25 pens more than S and the ratio of the number of pens that Q and R get 2 : 3, then what is the number of pens that S gets?

Some pens are divided among P, Q, R, and S. P gets twice the number of pens that Q gets. R gets the same number of pens as S gets. If P gets 25 pens more than S and the ratio of the number of pens that Q and R get 2 : 3, then what is the number of pens that S gets? Correct Answer 75

Calculation:

Let the number of pens that P, Q, R, and S get be p, q, r, and s respectively

⇒ p : q = 2 : 1

⇒ p = r + 25

⇒ q : r = 2 : 3

⇒ p : q : r : s = 4 : 2 : 3 : 3

⇒ p and s gets 4x and 3x respectively

⇒ 4x – 3x = 25, x = 25

⇒ S gets = 3 × 25 = 75

∴ The required result will be 75.

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