Multiple choice

A, B and C completed a piece of work costing Rs. 1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio 5 : 6 : 4, how much amount will be recieved by A ?

  1. Rs. 800

  2. Rs. 600

  3. Rs. 900

  4. Rs. 750
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The wage shares are proportional to days worked multiplied by the daily wage ratio. For A, B, and C, these shares are 30, 24, and 36, totaling 90. A receives 1800 × 30/90 = Rs 600.

AI explanation

The ratio of total wages equals the ratio of the number of days multiplied by the ratio of daily wages. The total work ratio for A, B and C is (6 times 5) : (4 times 6) : (9 times 4), which simplifies to 30 : 24 : 36 or 5 : 4 : 6. A's share is 5 parts out of the total 15 parts, meaning A receives 5/15 of the Rs. 1800 total. This calculates to one-third of 1800, which is Rs. 600.

Keep practicing — related questions