Question 24

Raj and Prithvi both started a business together, in which Raj invests X and Prithvi invests (X + 2000). At the end of one year, the total profit earned was 8,400, from which Raj’s share was 3,600/ How much had Prithvi invested in the business ?

Solution

Ratio of investments of Raj and Prithvi = $$x : (x + 2000)$$

Total profit = Rs. 8,400

Acc to ques,

=> $$\frac{x}{x + x + 2000} \times 8400 = 3600$$

=> $$\frac{x}{2x + 2000} = \frac{36}{84}$$

=> $$\frac{x}{2x + 2000} = \frac{3}{7}$$

=> $$7x = 6x + 6000$$

=> $$x = 6000$$

$$\therefore$$ Amount invested by Prithvi = 6000 + 2000

= Rs. 8,000

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