Investment Difference Calculation
This problem involves calculating the difference between Salman's and Vivek's investments based on their total investment and profit share.
Profit Allocation
First, determine Salman's share of the profit.
- Total Profit = ₹10,000
- Vivek's Profit Share = ₹3,700
- Salman's Profit Share = Total Profit - Vivek's Profit Share
- Salman's Profit Share = ₹10,000 - ₹3,700 = ₹6,300
Investment Ratio Determination
In a business partnership, the profit is shared in the same ratio as the investment. Therefore, the ratio of Salman's profit to Vivek's profit is equal to the ratio of their investments.
- Profit Ratio (Salman : Vivek) = ₹6,300 : ₹3,700
- Simplifying the ratio by dividing both sides by ₹100: 63 : 37
- Investment Ratio (Salman : Vivek) = 63 : 37
Individual Investment Calculation
Calculate the individual investments using the investment ratio and the total investment.
- Total Investment = ₹33,900
- Total ratio parts = 63 + 37 = 100
- Salman's Investment = \(\frac{63}{100} \times 33,900\) = 63 \(\times\) 339 = ₹21,357
- Vivek's Investment = \(\frac{37}{100} \times 33,900\) = 37 \(\times\) 339 = ₹12,543
Check: ₹21,357 + ₹12,543 = ₹33,900 (Matches the total investment).
Difference in Investments
Finally, calculate the difference between their investments.
- Difference = Salman's Investment - Vivek's Investment
- Difference = ₹21,357 - ₹12,543 = ₹8,814
The difference between their investments is ₹8,814.
Similar Questions
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Important Questions from Partnership
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A started a business with a capital of Rs. 54,000 and admitted B and C after 4 months and 6 months, respectively. At the end of the year, the profit was divided among the three in the ratio 1 ∶ 4 ∶ 5. What is the sum (in Rs.) of the capitals invested by B and C?
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