X,Y and Z together took a pasture ground on rent at Rs.16 per month with a view to graze their sheeps in this grpund X,Y and Z owned 70,50 and 40 sheeps respectively.After 4 months X sold 2/7th portion of his sheeps tp Y and 3 months after that Z spld 2/5th portion of his sheeps to X. How much will each of them pay as rent after the end of a year?
Answers
Given : X,Y and Z together took a pasture ground on rent at Rs.16 per month with a view to graze their sheeps in this ground
X,Y and Z owned 70,50 and 40 sheeps respectively.
After 4 months X sold 2/7th portion of his sheeps to Y
and 3 months after that Z sold 2/5th portion of his sheeps to X
To Find : How much will each of them pay as rent after the end of a year
Solution:
X owned 70 for 4 months => 70 * 4 = 280
Y owned 50 for 4 month => 50 * 4 = 200
X owned 70 - (2/7)* 70 = 50 for next 3 months => 50 * 3 = 150
Y owned 50 + (2/7)* 70 = 70 for next 8 months => 70 * 8 = 560
Z Owned for 4 + 3 = 7 months = 40 => 40* 7 = 280
Z owned 40 -(2/5)40 = 24 form next 5 month = 24 * 5 = 120
X owned 50 + (2/5)* 40 = 66 for next 5 months => 66 * 5 = 330
X = 280 + 150 + 330 = 760
Y = 200 + 560 = 760
Z = 280 + 120 = 400
Total = 760 + 760 + 400 = 1920
Total Rent = 16 * 12 = 192
X will Pay = (760/1920) * 192 = 76 Rs
Y will Pay = (760/1920) * 192 = 76 Rs
Z will Pay = (400/1920) * 192 = 40 Rs
Rent paid by X and Y = 76 Rs , by Z = Rs 40
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