Question

A and B started a business by investing Rs. 2400 and Rs. 3600 respectively. At the end of 4 th month from the start of the business, C joined with Rs. 'X'. After 8 months from the start of the business, B withdrew Rs. 600. If C's share is Rs. 8000 in the annual profit of Rs. 22,500, what was the amount that C invested in the business?

1. Rs. 7200
2. Rs. 5800
3. Rs. 4000
4. Rs. 4800
5. Rs. 8800

Answer 1

Correct Answer - Option 4 : Rs. 4800

Calculation:

A invested Rs 2400 → 12 months,

B invested Rs 3600 → 4 months and Rs 3000 → 8 months

C invested Rs X → 8 months

Ratio of profit of A, B and C = (2400 × 12) ∶  (3600 × 8) + (3000 × 4) ∶  (X × 8)

Annual profit = Rs 22,500

C's profit share = 8000 = X/(3600 + 5100 + X) × 22,500 

Or, 45 X= 16 × (8700 + X)

 29X = 16 × 8700

Or, X = Rs 4800

∴ X = Rs 4800