X, Y and Z bought a field on an annual rent of Rs. 415. If X grazed 25 cows for 6 months, Y grazed 40 cows for 8 months and Z grazed 30 cows for a complete year, what was the share of the rent given by Y?
X, Y and Z bought a field on an annual rent of Rs. 415. If X grazed 25 cows for 6 months, Y grazed 40 cows for 8 months and Z grazed 30 cows for a complete year, what was the share of the rent given by Y? Correct Answer <span lang="EN-IN" style=" background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Rs. 160</span>
Given:
Total annual rent = Rs. 415
X grazed 25 cows for 6 months
Y grazes 40 cows for 8 months
Z grazed 30 cows for 12 months
Calculation:
According to question:
25 cows × 6 months : 40 cows × 8 months : 30 cows × 12 months
⇒ 15: 32: 36
⇒ 83
⇒ 83 units = 415
⇒ 1 units = 415 / 83 = Rs. 5
⇒ 5 × 32 = 160
∴ Y paid Rs. 160