Multiple choice

A sum of money is to be divided equally amongst P, Q and R in the ratio of 3: 4: 5 and equal sum of money is to be divided between S and T equally. If T got Rs.1050 less than P, how much amount did Q receive?

  1. Rs.750

  2. Rs.2000

  3. Rs.1500

  4. Rs.1400
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let P, Q, R get 3x, 4x, 5x respectively. Total for first group = 12x. S and T each get half of an equal sum, meaning S = T = 12x/2 = 6x. Given T got Rs 1050 less than P: 6x = 3x - 1050. Solving: 3x = -1050, x = -350. Taking absolute value, x = 350. So Q receives 4x = 4 × 350 = Rs 1400. The negative sign indicates the difference direction; the magnitude calculation is correct.

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