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A and B invested Rs. 12000 and Rs. 16000 in partnership in a business. C also joined them after 8 months with an investment of Rs. 15000. What will be the share of C in a profit of Rs. 45600 after 2 years?
1. Rs. 10000
2. Rs. 12000
3. Rs. 14000
4. Rs. 15000

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Correct Answer - Option 2 : Rs. 12000

Given :

Amount invested by A = Rs 12000

Amount invested by B = Rs 16000

Amount invested by C = Rs 15000

Total profit after 2 years = Rs. 45600

To find :

The share of C in a profit

Concept used :

Total amount = amount invested × number of months

Calculation :

Total amount invested by A = 12000 × 24

⇒ Total amount invested by A = 288000

⇒ Total amount invested by B = 16000 × 24

⇒ Total amount invested by B = 384000

⇒ Total amount invested by C = 15000 × 16

⇒ Total amount invested by C = 240000

⇒ The ratio of their investment ie. A : B : C = 288000 : 384000 : 240000

⇒ The ratio of their investment ie. A : B : C = 6 : 8 : 5

⇒ C's share in profit = (5/19) × 45600

⇒ C's share in profit = 12000

∴ The C's share in profit is Rs. 12000.

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