1. 200 men and 350 women can do a work in 40 days. 70 men and 100 women can do the same work in ‘D’ days. 50 men and 110 women can do the same work in 150 days. Find the value of ‘D’.
Answer - Option D
Explanation -
Applying, M1D1 = M2D2
(200M + 350W) × 40 = (50M + 110W) × 150
⇒ 800M + 1400W = 750M + 1650W
⇒ 50M = 250W
⇒ M = 5W
Now,
(200M + 350W) × 40 = (70M + 100W) × D
⇒ (1000W + 350W) × 40 = (350W + 100W) × D
⇒ D = 1350 × 40 = 120 days
450
Hence, option D is correct.
2. Anil and Mukesh entered into a business and invested money in the ratio 2 : 3. Find the value of Anil’s share, if the ratio of time period of their investments is 3 : 2 respectively and the total profit is Rs. 10000.
A.Rs. 3950
B.Rs. 5550
C.Rs. 5000
D.Rs. 3000
Answer - Option C
Explanation -
Ratio of investments = 2 : 3
Ratio of time period of their investments = 3 : 2
Profit will be shared in the ratio (2 × 3) : (3 × 2) = 1 : 1
Anil’s share = 1 × 10000 = Rs. 5000
2
Hence, option C is correct.