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?

Question

Answer

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.

Answer

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.

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