Raju and Arun are two business partners. They invest their capital in the ratio 7 : 9. After 6 months, a third person Jitu joins them with a capital of two third of that of Arun. After a year, profit share of Raju was Rs 5600 then find total profit.
This questions was previously asked in
IBPS Clerk (Prelims)
Explanation:
- Raju and Arun invest in the ratio of 7:9.
- After 6 months, Jitu joins with two-thirds of Arun's capital.
- To find the total profit: Calculate the total investment time for each partner over the year.
- Raju's investment is for 12 months, Arun's also for 12, and Jitu's for 6.
- Convert the ratio into a common base by considering both the amount and duration:
- Raju: 7 × 12 = 84
- Arun: 9 × 12 = 108
- Jitu: (2/3) × 9 × 6 = 36
- Total investment ratio: 84 + 108 + 36 = 228.
- Raju's share of profit is 84/228 of total profit.
- Given Raju's share is Rs 5600, calculate the total profit:
- Total profit = (5600 ÷ 84) × 228 = Rs 15200.
- Option 1: 15200 is the correct answer.
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By: Parvesh Mehta