P and Q invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and P’s share is Rs. 855, the total profit is:a)Rs. 1435b)Rs. 1500c)Rs. 1538d)Rs. 1580Correct answer is option 'B'. Can you explain this answer?

Question

P and Q invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and P&rsquo;s share is Rs. 855, the total profit is:a)Rs. 1435b)Rs. 1500c)Rs. 1538d)Rs. 1580Correct answer is option 'B'. Can you explain this answer?

Answer

Let the total profit be Rs. 100.
After paying to charity, A’s share = Rs. 95 x 3/5 = Rs. 57.
If A’s share is Rs. 57, total profit = Rs. 100.
If A’s share Rs. 855, total profit =(100/57) x 855 = 1500.

Answer

Let the total profit is₹100. After paying 5percent to charity, remaining profit is₹95.here p's share is 3/5 *95 i.e. ₹57
as per the question p's share is₹855. So the total profit is 855/57*100=₹1500. That's why B is the correct answer.

Answer

Receives a profit share of $600, what is the total profit of the business?

Let's assume that the total profit of the business is x.

According to the given ratio, P would receive 3/5 of the profit and Q would receive 2/5 of the profit.

So, P's share of the profit would be (3/5)x and Q's share of the profit would be (2/5)x.

Now, we know that P's share of the profit is $600. So,

(3/5)x = $600
Multiplying both sides by (5/3), we get:

x = (5/3)*$600 = $1000

Therefore, the total profit of the business is $1000.

Now, we need to find out how much of this total profit goes to charity. We know that 5% of the total profit goes to charity. So,

5% of $1000 = 0.05*$1000 = $50

Therefore, $50 goes to charity and the remaining $950 is divided between P and Q in the ratio of 3:2.

P's share = (3/5)*$950 = $570
Q's share = (2/5)*$950 = $380

So, the final distribution of profit would be:

P: $570
Q: $380
Charity: $50

And the total profit of the business is $1000.

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