Question

Arun alone can do a piece of work in 6 days and Bharat alone in 8 days. Arun and Bharat
undertook to do it for Rs. 3200. With the help of Charan, they completed the work in 3
days. How much is to be paid to Charan?
A) Rs. 375
B)
Rs. 400
D) Rs. 800
C)
Rs. 600

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Answer 1

Answer:

Answer (B) ₹400

Step-by-step explanation:

Arun can complete the work in 6 days.

Work rate of Arun = 100/6 = 16.66% per day

Bharat Can complete the work in 8 days.

Work rate of Bharat = 100/8 = 12.5% per day.

Arun, Bharat and Charan completed the work in 3 days.

Work rate of these three together = 100/3 = 33.33% per day.

Arun + Bharat + Charan = 33.33%

16.66 + 12.5 + Charan = 33.33%

Charan = 4.17 per day.

So, percentage of work completed by Charan in three days = 4.17 * 3 = 12.51%.

Therefore Charan to be paid,

=12.51% of 3200

= (12.51 * 3200)/100

= Rs. 400.32 = Rs. 400 (Approx.).