Ram and Shyaam together complete a task in 45 days and receive ₹13,500. If Shyaam is three times as efficient as Ram, then what is the amount of money he earns in 10 days?

Let us assume that Shyaam does 3x units of work per day, while Ram does x units per day. 

In 45 days of working together, they must have done work in the ratio of 3:1 as far as the units of work done are considered. Hence, the amount earned shall also be distributed in a similar ratio. 

So out of Rs.13,500, Shyaam would have received $$\left(\frac{\ 3}{4}\right)\times\ 13500$$ for 45 days of work, which is Rs.10,125 for 45 days or Rs.225 per day.

In 10 days, Shyaam would have earned Rs.2250.