Multiple choice

A can complete a work in 6 days, B in 10 days and C In 15 days. They jointly complete the work and earn ₹ 300. The sum of their wages for 2 days will be how much?

  1. 100

  2. 200

  3. 150

  4. 175

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Work rates: A = 1/6 per day, B = 1/10 per day, C = 1/15 per day. Combined daily rate = 1/6 + 1/10 + 1/15 = (5+3+2)/30 = 10/30 = 1/3. Work completes in 3 days. Wages are distributed in ratio of work rates: A:B:C = 1/6:1/10:1/15 = (5:3:2)/30 = 5:3:2. Sum = 10 parts. A's 2-day wage = (5/10) × (2/3) × 300 = 100. B's 2-day wage = (3/10) × (2/3) × 300 = 60. C's 2-day wage = (2/10) × (2/3) × 300 = 40. Sum = 100 + 60 + 40 = 200. Option A would be just A's 2-day wage. Option C would be half the total earned.