Question

The income of Shyam is 20% less than the income of Ram. The income of Radha is 25% less than the combined income of Ram and Shyam. The income of Sita is 25% more than the combined income of Ram and Shyam. Find the ratio of the combined income of Ram and Shyam to the combined income of Sita and Radha.

• A. 2 : 1
• B. 3 : 4
• C. 4 : 3
• D. 1 : 2

Answer 1

Answer:

D. 1 : 2

Let the income of Ram = Rs. 100 The income of Shyam = (100% - 20%) of Rs. 100 = Rs. 80 The income of Radha = (100% - 25%) of Rs. (100 + 80) = Rs. 135 The income of Sita = (100% + 25%) of Rs. (100 + 80) = Rs. 225 The combined income of Ram and Shyam = Rs. 100 + Rs. 80 = Rs. 180 The combined income of Radha and Sita = Rs. 135 + Rs. 225 = Rs. 360 The required ratio = 180 : 360 = 1 : 2