Multiple choice

A sum of Rs 4830 was divided among three persons P, Q and R such that if their shares were diminished by Rs 5, Rs 10 and Rs 15 respectively the remainders would be in the ratio 3 : 4 : 5 What was Ps share?

  1. Rs 1200

  2. Rs 1210

  3. Rs 1205

  4. Rs 1215
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let remainders be 3x, 4x, 5x. Total = 3x+5 + 4x+10 + 5x+15 = 4830. 12x + 30 = 4830. 12x = 4800, x = 400. P's share = 3x + 5 = 1200 + 5 = 1205.

AI explanation

Let the shares of P, Q, and R after the respective deductions be 3x, 4x, and 5x. The total remaining amount is Rs 4830 minus the total deduction of Rs 30, leaving Rs 4800, so 12x equals 4800 and x equals 400. The actual share of P is the remaining part plus the deduction, which is 3x plus 5, or 1200 plus 5. The result is Rs 1205.

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