Amit and Sudesh have invested in the ratio of 4 : 7. If both invested a total amount of ₹ 49500, then find the investment of Sudesh?

Given total amount = ₹ 49500
Let part of Amit's investment = 4k
and part of sudesh's investment = 7k
According to the question
4k + 7k = 49500
⇒ 11k = 49500
⇒ k = 49500/11
∴ k = 4500
Hence investment of sudesh = 7k = 7 x 4500 = 31500