Mahesh and Suresh rent a pasture for 12 months. Mahesh puts in 200 cows for 8 months. How many cows can Suresh put in the pasture for the remaining 4 months if he pays 1(1/2) as much as Mahesh?
| Question | Mahesh and Suresh rent a pasture for 12 months. Mahesh puts in 200 cows for 8 months. How many cows can Suresh put in the pasture for the remaining 4 months if he pays 1(1/2) as much as Mahesh? | |
| Type | multiple_choice | |
| Option | 450 cows | incorrect |
| Option | 600 cows | correct |
| Option | 300 cows | incorrect |
| Option | 520 cows | incorrect |
| Solution | Let Mahesh’s cow (C1) = 200 cows, and time spend T1 = 8 months Suresh’s cow (C2) = y cows, and time spend T2 = 4 months Let the profit of Mahesh = x Then the profit of Suresh = 1(1/2)*x Apply profit ratio formula: (C1 * T1)/ (C2 * T2) = p1/p2 (200 * 8)/ (y*4) = (x/ (3x/2)) 400/y = 2x/3x 400/y = 2/3 y = (400*3)/2 y= 600 Hence, Suresh can put 600 cows for the remaining 4 months. | |