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Chand started a business by investing Rs. 8560, after 12 months Sooraj invested Rs. 6420. If the total profit earned by Sooraj and Chand at the end of two years is Rs. 1815, then find the difference in the profit earned by Sooraj and Chand.
- a)Rs. 825
- b)Rs. 625
- c)Rs. 725
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Chand started a business by investing Rs. 8560, after 12 months Soora...
Given:
The amount invested by Chand = Rs. 8560
The time of investment for Chand = 24 months
The amount invested by Sooraj = Rs. 6420
The time of investment for Sooraj = 12 months
The total profit earned = Rs. 1815
Concept:
Profit ∝ Amount of investment
Profit ∝ Time of investment
Therefore,
The ratio of profit earned by two people is equal,
To the ratio of the product of the Amount of investment and the Time of investment.
Calculation:
Let S and Chand be the profit earned by Sooraj and Chand
According to the question and as per the above concept,
The profit earned by Sooraj = 3/11 × 1815 = Rs. 495
The profit earned by Chand = 8/11 × 1815 = Rs. 1320
The required difference = Rs. 1320 - Rs. 495 = Rs. 825
Therefore, 'Rs. 825' is the required answer.
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Community Answer
Chand started a business by investing Rs. 8560, after 12 months Soora...
To find the difference in the profit earned by Sooraj and Chand, we first need to calculate their individual investments and then calculate their share of the profit.
Let's start by calculating the individual investments:
Chand's investment = Rs. 8560
Sooraj's investment = Rs. 6420
Next, we need to calculate the profit earned by each of them. Since the total profit is given as Rs. 1815 and the investment period is two years, we can use the concept of ratio and proportion to determine their shares.
Let's assume Chand's share of the profit as x and Sooraj's share as y.
According to the ratio of their investments:
x/y = Chand's investment/Sooraj's investment
=> x/y = 8560/6420
=> x/y = 856/642
=> x/y = 4/3
Now, let's calculate the individual shares of the profit:
Chand's share = (x/7) * total profit
Sooraj's share = (y/7) * total profit
Substituting the given values:
Chand's share = (4/7) * 1815
Sooraj's share = (3/7) * 1815
Calculating:
Chand's share = (4/7) * 1815 = 4 * 259.2857 = 1037.14 (approx.)
Sooraj's share = (3/7) * 1815 = 3 * 259.2857 = 777.86 (approx.)
Finally, we can find the difference in their profits:
Difference = Chand's share - Sooraj's share
= 1037.14 - 777.86
= 259.28 (approx.)
Therefore, the difference in the profit earned by Sooraj and Chand is approximately Rs. 259.28.
Let's start by calculating the individual investments:
Chand's investment = Rs. 8560
Sooraj's investment = Rs. 6420
Next, we need to calculate the profit earned by each of them. Since the total profit is given as Rs. 1815 and the investment period is two years, we can use the concept of ratio and proportion to determine their shares.
Let's assume Chand's share of the profit as x and Sooraj's share as y.
According to the ratio of their investments:
x/y = Chand's investment/Sooraj's investment
=> x/y = 8560/6420
=> x/y = 856/642
=> x/y = 4/3
Now, let's calculate the individual shares of the profit:
Chand's share = (x/7) * total profit
Sooraj's share = (y/7) * total profit
Substituting the given values:
Chand's share = (4/7) * 1815
Sooraj's share = (3/7) * 1815
Calculating:
Chand's share = (4/7) * 1815 = 4 * 259.2857 = 1037.14 (approx.)
Sooraj's share = (3/7) * 1815 = 3 * 259.2857 = 777.86 (approx.)
Finally, we can find the difference in their profits:
Difference = Chand's share - Sooraj's share
= 1037.14 - 777.86
= 259.28 (approx.)
Therefore, the difference in the profit earned by Sooraj and Chand is approximately Rs. 259.28.
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Chand started a business by investing Rs. 8560, after 12 months Sooraj invested Rs. 6420. If the total profit earned by Sooraj and Chand at the end of two years is Rs. 1815, then find the difference in the profit earned by Sooraj and Chand.a)Rs. 825b)Rs. 625c)Rs. 725d)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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