Q) To complete a piece of work, Samir takes 6 days and Tanvir takes 8 days alone respectively. Samir and Tanvir took Rs. 2,400 to do this work. When Amir joined them, the work was done in 3 days. What amount was paid to Amir?

a) Rs. 300         b) Rs. 400                c) Rs. 800            d) Rs. 500

Ans:

Samir’s 1 day’s work = 1/6

Tanvir’s 1 day’s work = 1/8

∴ (Samir + Tanvir)’s 1 day’s work = 1/6 + 1/8 = 7/24

∴ (Samir + Tanvir + Amir)’s 1 day work = 1/3

∴ Amir’s 1 day’s work = (Samir + Tanvir + Amir)’s 1 day work – (Samir + Tanvir)’s 1 day’s work

= 1/3 – 7/24 = 1/24

Ratio of working capacities of Samir: Tanvir: Amir :: 1/6 : 1/8 : 1/24 => 4:3:1

C’s share from Rs. 2,400 = 1/8 x 2400 = Rs. 300

Hence, Answer is [A].

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