Nikhil and Neha invested capital in the ratio 5 : 4. The time Neha invested her money for was one year more than that invested by Nikhil. The ratio of their profits is in the ratio 6 : 5. Find the time Neha invested the money for.
Answer & explanation
Correct answer: option 4
Let the money invested by Nikhil and Neha be 5x and4x respectively.
Let the time they invested for be t and t – 1 respectively.
Ratio of profit = \(\frac{4xt}{5x(t-1)}\)
\(\frac{4xt}{5x(t-1)}\) = \(\frac{5}{6}\)
\(\frac{4t}{5(t-1)}\) = \(\frac{5}{6}\)
24t = 25t – 25
t = 25
Time Neha invested for = t – 1
= 25 – 1 = 14 years