Multiple choice

The ratio of work efficiency of P and Q is 2:3 and that of Q and R is 4:5. If P can complete project in 30 days and all three are paid Rs.700 per day for the total work done in the same ratio as their work efficiency, what salary would be earned by R for the total number of days he worked on the project?

  1. Rs. 5000

  2. Rs. 3000

  3. Rs. 4500

  4. Rs. 4800
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

P:Q efficiency = 2:3, Q:R = 4:5. Combined P:Q:R = 8:12:15. P completes project in 30 days, so P's efficiency = 1/30. Let total work = 1. P's share = 8/35 of work. Payment is Rs.700/day per efficiency unit. R's efficiency = 15/8 × P = 15/8 × 1/30 = 1/16. R works for 16 days earning 16×700×(15/35) = Rs.4800.

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