Harsh starts a business with ₹30,000. Some months later Pooja joins with ₹45,000. At the end of the year they share the profit equally. After how many months did Pooja join?

Explanation

1. 01

   Equal shares mean equal capital × time: $30{,}000 \times 12 = 45{,}000 \times t$.

2. 02

   $t = 3{,}60{,}000 \div 45{,}000 = 8$, so Pooja's money was in for 8 months.

3. 03

   She joined after $12 - 8 = 4$ months.