X, Y, Z hold a pasture for which they pay Rs. 2720 per month. They put 70, 50, 40 sheep respectively on it. X sells 2/7 of his sheep to Y after 4 months and after 3 months more Z sells 2/5 of his sheep to X. How much rent should each pay in a year?
X, Y, Z hold a pasture for which they pay Rs. 2720 per month. They put 70, 50, 40 sheep respectively on it. X sells 2/7 of his sheep to Y after 4 months and after 3 months more Z sells 2/5 of his sheep to X. How much rent should each pay in a year?
Option 1 -
12920, 12920, 6800
Option 2 -
10840, 10840, 6460
Option 3 -
16720, 7840, 5640
Option 4 -
18140, 6420, 5120
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1 Answer
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Correct Option - 1
Detailed Solution:Initially
After 4 months
After 7 months
X
70
50
66
Y
50
70
70
Z
40
40
24
New rent = 2730 per month. Rs. 2720 * 12 = Rs. 32640 per year
Net for X = 70 * 4 + 50 * 3 + 66 * 5 = 760
For Y = 50 * 4 + 70 * 8 = 760
For Z = 40 * 7 + 24 * 5 = 400
The shares will 12920, 12920 and 6800.
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