A and B invested total Rs. 20,000 and start a business. If ’B’ gets total profit of Rs. 4500 and ratio between profit share of B and total profit is 9 : 16, then find amount invested by A if both A and B invested for same time period?

Let investment of A is Rs. X then investment of B is Rs. (20,000 – x)

Total profit = $4500 imes frac{{16}}{9} = 8000;Rs$

ATQ –

$frac{x}{{left( {20000 - x} ight)}} = frac{{8000 - 4500}}{{4500}}$

16x = 140000 ⇒ x = 8750 Rs.