Question

A and B undertaken to do a piece of work for ₹1200. A alone can do it in 8 days, while B

can do it in 6 days. With the help of C, they complete it in 2 days. Find C’s share.​

Answer 1

According to the question.

1/A + 1/B + 1/C= 1/3 ⇒ 1/8 + 1/6 + 1/C = 1/3

⇒ 1/C = 1/3 - (1/8 + 1/6) = 1/24

∴ Ratio in share of A, B and C

= (1/8) : (1/6) : (1/24)

= (3/24) : (4/24) : (1/24)

= 3 : 4 : 1

∴ C's share = 1 / 3 + 4 + 1 x 1200 = ₹ 150

hope it will helpful for you

please mark me brainlist