Work and Wages
- A can complete a piece of work in 10 days, while B alone can complete it in 15 days. They work together for 5 days and rest of the work is done by C in 2 days. If they receive $ 450 for the whole work, how should they divide the money?
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According to question , we have
Here , Received money = $ 450(A + B)’s 5 day’s work = 5 
1 + 1 
10 15 (A + B)’s 5 day’s work = 5 3 + 2 = 5 30 6 Remaining work = 1 - 5 = 1 6 6 ∴ C’s 2 days’ work = 1 6 Now, A’s 5 days’ work : B’s 5 days’ work : C’s 2 days’ work = 5 : 5 : 1 = 3 : 2 : 1 10 15 6 ∴ A’s share = $ 450 x 3 = $ 225 6
Correct Option: B
According to question , we have
Here , Received money = $ 450(A + B)’s 5 day’s work = 5 1 + 1 10 15 (A + B)’s 5 day’s work = 5 3 + 2 = 5 30 6 Remaining work = 1 - 5 = 1 6 6 ∴ C’s 2 days’ work = 1 6 Now, A’s 5 days’ work : B’s 5 days’ work : C’s 2 days’ work = 5 : 5 : 1 = 3 : 2 : 1 10 15 6 ∴ A’s share = $ 450 x 3 = $ 225 6 B’s share = $ 450 x 2 = $ 150 6
C’s share = $[450 - ( 225 + 150 )] = $75
- P, Q and R enter into a contract for a piece of the work for ₹ 1100. P and Q together are supposed to do 7/22 of the work. How much does R get?
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Work done by (P + Q) = 7/22
Work done by R = 1 - (7/ 22) = (22-7)/22 = 15/22
∴ (P + Q)'s share : R's share = (7/22) : (15/22)Correct Option: A
Work done by (P + Q) = 7/22
Work done by R = 1 - (7/ 22) = (22-7)/22 = 15/22
∴ (P + Q)'s share : R's share = (7/22) : (15/22) = 7 : 15
R's share = (15/22) x 1100 = 15 x 50 = ₹ 750
- A alone can do a piece of work in 3 days, while B alone can do the same work in 2 days. If they work together to complete the work, their total wages is fixed ₹ 225. Find the share of A.
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A's 1 day's work = 1/3
B's 1 day's work = 1/2
A's share : B's share = 1/3 : 1/2 = 2/6 : 3/6
= 2 : 3Correct Option: A
A's 1 day's work = 1/3
B's 1 day's work = 1/2
A's share : B's share = 1/3 : 1/2 = 2/6 : 3/6
= 2 : 3
Share of A = (2/5) x 225 = ₹ 90
- A alone can do a piece of work in 8 days while B alone can do it in 10 days. If they together complete this work and get ₹ 900 as their remuneration, then find the share of both the persons.
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A' s 1 day's work = 1/8
B' s 1 day's work = 1/10
∴ A' s share : B' s share
= 1/8 : 1/10 = 5/40 : 4/40 = 5 : 4
Let A' s share = 5k
and B' s share = 4k.
According to the question,
5k + 4k = 900Correct Option: B
A' s 1 day's work = 1/8
B' s 1 day's work = 1/10
∴ A' s share : B' s share
= 1/8 : 1/10 = 5/40 : 4/40 = 5 : 4
Let A' s share = 5k
and B' s share = 4k.
According to the question,
5k + 4k = 900
⇒ 9k = 900
∴ k = 100
∴ A' s share = 5k = 5 x 100 = ₹ 500
and B' s share = 4k = 4 x 100 = ₹ 400.
- A can do a piece of work in 9 days and B can do the same work in 15 days. if they work together, in what ratio A and B will receive their wages?
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A's 1 day's work = 1/9
B's 1 day's work = 1/15
A's share : B's share = (1/9) : (1/15)Correct Option: B
A's 1 day's work = 1/9
B's 1 day's work = 1/15
A's share : B's share = (1/9) : (1/15)
= (5/45) : (3/45)
= 5 : 3
