A, B and C together earn Rs. 1080 in 6 days. A and C can earn Rs. 600 in 5 days. B and C can earn Rs. 910 in 7 days. How much amount does C can earn per day?
A, B and C together earn Rs. 1080 in 6 days. A and C can earn Rs. 600 in 5 days. B and C can earn Rs. 910 in 7 days. How much amount does C can earn per day? Correct Answer Rs. 70
GIVEN:
Total Amount earned by A, B and C = Rs. 1080
Total number of days worked by A, B and C together = 6 days
Amount earned by A and C = Rs. 600
Total number of days worked by A and C together = 5 days
Amount earned by B and C = Rs. 910
Total number of days worked by B and C together = 7 days
CONCEPT:
wages ∝ work
wages ∝ number of working days (∵ Efficiency is same)
CALCULATION:
Amount Earned in one day = Total amount/Number of working days
⇒ Amount Earned by A, B and C in one day = 1080/6 = 180 ---(i)
⇒ Amount Earned by A and C in one day = 600/5 = 120 ---(ii)
⇒ Amount Earned by B and C in one day = 910/7 = 130 ---(ii)
On performing (ii) + (iii) – (i), we get
⇒ Amount Earned by C in one day = Amount Earned by (A + B + 2C) in one day – Amount Earned by (A + B + C) in one day
⇒ Amount Earned by C in one day = (120 + 130) – 180
⇒ Amount Earned by C in one day = 70
∴ Amount Earned by C per day is Rs. 70