Ajay and Raj together have Rs. 1050. On taking Rs. 150 from Ajay, Ajay will have same amount as what Raj had earlier. Find the ratio of amounts with Ajay and Raj initially.
A)3:4
B)7:1
C)1:3
D)4:3

Question

Quizplus · Accepted Answer

Let's denote Ajay's initial amount as A and Raj's initial amount as R. According to the problem, A + R = 1050. If Ajay gives Rs. 150 to Raj, Ajay will have A - 150, and this amount is equal to what Raj initially had, which is R. So, A - 150 = R. Rearranging the equations, we get A = R + 150. Substituting this into the first equation, R + 150 + R = 1050, which simplifies to 2R + 150 = 1050. Solving for R gives R = 450, and substituting back, A = 600. Therefore, the initial ratio of Ajay's to Raj's amount is 600:450, which simplifies to 4:3.

Ajay and Raj Together Have Rs