Investment Difference: Ritik and Sanjay
This solution explains how to find the difference in investment between Ritik and Sanjay, given their total investment and profit distribution.
Provided Business Information
- Total Investment by Ritik and Sanjay: ₹79,200
- Total Profit: ₹16,500
- Sanjay's Share of Profit: ₹3,600
Profit Shares Calculation
The profit is shared among partners in proportion to their investment. First, we need to find Ritik's share of the profit.
Ritik's Profit = Total Profit - Sanjay's Profit
Ritik's Profit = ₹16,500 - ₹3,600 = ₹12,900
Determining the Investment Ratio
The ratio of profit shares is equal to the ratio of their investments.
Ratio of Profits = Ritik's Profit : Sanjay's Profit
Ratio = ₹12,900 : ₹3,600
To simplify this ratio, we can divide both numbers by their greatest common divisor. First, let's simplify by dividing by 100:
Ratio = 129 : 36
Both 129 and 36 are divisible by 3:
Ratio = $\frac{129}{3} : \frac{36}{3}$
Ratio = $43 : 12$
This means that for every ₹43 Ritik invested, Sanjay invested ₹12. The ratio of their investments is therefore 43 : 12.
Ratio Part Value Calculation
Let Ritik's investment be $43x$ and Sanjay's investment be $12x$.
The total investment is the sum of their individual investments:
Total Investment = Ritik's Investment + Sanjay's Investment
₹79,200 = $43x + 12x$
₹79,200 = $55x$
Now, we solve for $x$ to find the value of one part of the ratio:
$x = \frac{₹79,200}{55}$
To calculate this division:
$x = \frac{79200}{55} = \frac{15840}{11}$
$x = 1440$
So, the value of one part of the ratio is ₹1,440.
Individual Investment Amounts
Now we can find the exact amount each person invested:
Ritik's Investment = $43x = 43 \times ₹1,440 = ₹61,920$
Sanjay's Investment = $12x = 12 \times ₹1,440 = ₹17,280$
Difference Between Investments
The question asks for the difference between their investments.
Difference = Ritik's Investment - Sanjay's Investment
Difference = ₹61,920 - ₹17,280
Difference = ₹44,640
| Partner | Investment Ratio Part | Investment Amount | Profit Share |
|---|---|---|---|
| Ritik | 43 | ₹61,920 | ₹12,900 |
| Sanjay | 12 | ₹17,280 | ₹3,600 |
| Total | 55 | ₹79,200 | ₹16,500 |
Final Conclusion
The difference between Ritik and Sanjay's investments is ₹44,640.
Important Questions from Partnership
- M and N start a business. M invests ₹68,000 more than N for 4 months and N invests for 7 months. M's share is ₹856 more than that of N, out of a total profit of ₹6,848. Find the capital contributed by M.
- Rekha, Sanjay, and Poonam invest ₹1,320, ₹1,170, and ₹1,660, respectively, to start a business. If the profit at the end of the year is ₹1,010, then what is the share of Poonam in the profit?
- Kushal and Brijesh together invested ₹37,100 in a business. At the end of the year, out of a total profit of ₹12,000, Brijesh's share was ₹5,700. What was the difference between their investments?
M and N start a business. M invests ₹79,000 more than N for 7 months and N invests for 6 months. M's share is ₹745 more than that of N, out of a total profit of ₹6,705. Find the capital contributed by M.
- P, Q and R invested a sum in the ratio of 34: 75: 6, respectively. If they earned a total profit of ₹3,600 at the end of the year, what is the difference between the shares of Q and R?
