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Roshan Themes

· started a discussion

· 1 Months ago

hi (Question:608137.0)

how can you think like this????

Question:

A and B alone can do a work in 40 days and 48 days respectively. With the help of C, they complete the work in 8 days. B earns Rs.1500.


Quantity I- What is the earning of C?

Quantity II- What is the earning of A?

Options:
A) Quantity I > Quantity II
B) Quantity I < Quantity II
C) Quantity I ≥ Quantity II
D) Quantity I ≤ Quantity II
E) Quantity I = Quantity II or the relation can’t be determined
Solution:

Ans. (a) Let the total work = LCM (40, 48, 8) = 240 

Efficiency of A = 240/40 = 6

Efficiency of B = 240/48 = 5

Efficiency of (A + B + C) = 240/8 = 30

Efficiency of C = 30 – 6 – 5 = 19

Ratio of earning of A, B and C = ratio of their efficiencies = 6 : 5 : 19

Earning of C = (1500/5) x 19 = Rs. 5700


Quantity I: Earning of C = (1500/5) x 19 = Rs. 5700


Quantity II: Earning of A = (1500/5) x 6 = Rs. 1800

Knowledge Expert

· commented

· 1 Months ago

Let the total work = LCM (40, 48, 8) = 240

Efficiency of A = 240/40 = 6

Efficiency of B = 240/48 = 5

Efficiency of (A + B + C) = 240/8 = 30

Efficiency of C = 30 – 6 – 5 = 19

Ratio of earning of A, B and C = ratio of their efficiencies = 6 : 5 : 19

Earning of C = (1500/5) x 19 = Rs. 5700



Quantity I: Earning of C = (1500/5) x 19 = Rs. 5700



Quantity II: Earning of A = (1500/5) x 6 = Rs. 1800
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