Calculating Vishal's Profit Share
This problem involves calculating profit distribution based on investment ratios after a portion is set aside for charity.
1. Determine the Profit Sharing Ratio
The partners Bharat, Jyoti, and Vishal invest ₹70,000, ₹32,000, and ₹46,000, respectively. Their profit-sharing ratio is the same as their investment ratio:
Ratio = ₹70,000 : ₹32,000 : ₹46,000
Simplify the ratio by dividing by 1,000: 70 : 32 : 46
Further simplify by dividing by 2: 35 : 16 : 23
The sum of the ratio parts is \(35 + 16 + 23 = 74\).
2. Calculate the Profit Amount for Distribution
The total profit earned is ₹52,540.
60% of the profit is given to charity:
Charity Amount = \(0.60 \times 52,540 = ₹31,524\)
The remaining profit to be distributed among the partners is:
Remaining Profit = Total Profit - Charity Amount
Remaining Profit = \(52,540 - 31,524 = ₹21,016\)
3. Calculate Vishal's Share
Vishal's share is determined by his portion of the profit-sharing ratio (23 out of 74 total parts) applied to the remaining profit.
Vishal's Share = \( \frac{\text{Vishal's Ratio Part}}{\text{Total Ratio Parts}} \times \text{Remaining Profit} \)
Vishal's Share = \( \frac{23}{74} \times 21,016 \)
Vishal's Share = \( 23 \times \frac{21,016}{74} \)
Vishal's Share = \( 23 \times 284 \)
Vishal's Share = \( ₹6,532 \)
Similar Questions
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- Two partners M and N buy a car. M pays his share of $\frac{3}{7}$th of the total cost of the car. M pays ₹ 31,540 less than N. What is the cost of the car?
Important Questions from Partnership
A, B and C invest in a business in the ratio 4 ∶ 5 ∶ 7. C is a sleeping partner, so his share of profits will be half of what it would have been if he were a working partner. If they make Rs 36,000 profit of which 25% is reinvested in the business, how much does B get (in Rs)?
Sumit, Ravi and Puneet invest Rs. 45000, Rs. 81000 and Rs. 90000 respectively to start a business. At the end of the year the total profit is Rs. 4800. 30% of the total profit gives in charity and rest is divided among them. What will be the share of Sumit?
A sum of ₹ 159250 is divided among A, B, C, and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D is 2 : 3. The share (in ₹) of A is:
A and B start a business by investing Rs. 1,00,000 and Rs. 1,50,000 respectively. Find the respective share of each out of a total profit of Rs. 24, 000.
Two partners A and B have started business with the capitals of Rs. 6,000 and Rs. 8,000 respectively. If they made profit of Rs. 5,600 then the share (in Rs.) of A is:
