1
P and Q undertook to do a work for Rs. 7200. P alone could do it in 20 days and Q alone in 12 days. With the assistance of R they finished the work in 5 days. What is the share (in Rs) of R?
- A1800
- B2400
- C2800
- D2600
Answer not set
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0
CCommunity
Let the total work = 60 units
Efficieincy of P = 60/20 = 3 units/day
Efficieincy of Q = 60/12 = 5 units/day
Total effieicny of P, Q and R = 60/5 = 12 units/day
So, Efficiency of R = 12 – (3 + 5) = 4 units/day
We know that,
Share will be divided on the basis of work done
Wages ∝ Work
Work ∝ Efficiency
∴ Share of R = 4/12 × 7200 = Rs. 2400
Efficieincy of P = 60/20 = 3 units/day
Efficieincy of Q = 60/12 = 5 units/day
Total effieicny of P, Q and R = 60/5 = 12 units/day
So, Efficiency of R = 12 – (3 + 5) = 4 units/day
We know that,
Share will be divided on the basis of work done
Wages ∝ Work
Work ∝ Efficiency
∴ Share of R = 4/12 × 7200 = Rs. 2400
0
CCommunity
work of p in 20 days
work of q in 12 days
work of p+q+r in 5 days
lcm of 20, 12 and 5 is 60 so
efficiency of p is 3, q is 5 and p+q+r are 12 then
P+Q+R= 12
⇒3+5+R= 12
⇒R=4
P: Q: R
3: 5: 4 =12 then
share of C is 4/12 x7200=2400
work of q in 12 days
work of p+q+r in 5 days
lcm of 20, 12 and 5 is 60 so
efficiency of p is 3, q is 5 and p+q+r are 12 then
P+Q+R= 12
⇒3+5+R= 12
⇒R=4
P: Q: R
3: 5: 4 =12 then
share of C is 4/12 x7200=2400