Five chairs and two tables cost ₹6,300, while three chairs and four tables cost ₹8,400. What is the cost of one chair?

Explanation

1. 01

   Let a chair cost ₹$c$ and a table ₹$t$: $5c + 2t = 6300$ and $3c + 4t = 8400$.

2. 02

   Double the first: $10c + 4t = 12600$. Subtract the second: $7c = 4200$.

3. 03

   So $c = 600$, i.e. ₹600 (and a table costs ₹1,650).