Question

P,q, and r started a business. They invested amount in the ratio of 1: 3: 2 respectively for 8 months. After this they invested amount in the ratio of 2 : 3 :4 respectively for 4 months. The average investment of p and q is rs 2800. While average investment of q and r is 3800. If q's investment for the both the terms (4 month and 8 month) was swapped, then find the total profit share of p&q if annual profit is 46,200 rs.

Answer 1

Answer:

Thsi is not economics question yaar. Sab fool hai yaha pai.

Explanation:

Answer 2

Answer:

Total investment done by R is Rs 4000 and the required profit is Rs 37800.

Concept:

Two quantities are compared to form a ratio. An equality of two ratios is defined as proportion.

To make a ration we have to follow these steps:

• Analyze the ratio to see whether it is part to part or part to whole.
• Calculate the whole and the pieces as necessary.
• Fill in the values in the ratio.
• If necessary, simplify the ratio. Ratios between integers are desirable.

Given:

For 8 months,

P's, Q's and R's investment in the ratio of 1 : 3 : 2.

Respectively, for 4 months,

P's, Q's and R's investment in the ratio of 2 : 3 : 4.

Find:

Find the total profit share of P, Q and R.

Solution:

Average investment for A and B is Rs 2800.

$\frac{x + 2y + 3x + 3y}{2} = 2800$

$\frac{4x + 5y}{2} = 2800\\4x + 5y = 5600 .. (1)$

Again for the investment done by B and C is Rs 3800.

$\frac{3x + 3y + 2x + 4y}{2} = 3800$

$5x + 7y = 7600 .. (2)$

On multiplying (1) by 5 and (2) by 4, we get:

$20 x + 25 y = 28000 .. (3)\\\\20 x + 28 y = 30400 .. (4)$

Now, by subtracting (3) from (4), we get the value for x and y:

20x - 20x + 25y - 28y = 28000 - 30400

-3y = -2400

y = 800

Put y = 800 in (1), we get:

4x + 5(800) = 5600

4x = 5600 - 4000

4x = 1600

x = 400

So, x = 400 and y = 800.

Total investment done by R = (2x + 4y) = 2(400) + 4(800)

Total investment done by R = Rs 4000

Again, Q's investment for 8 months = 3x = 3(400) = Rs 1200

Q's investment for 4 months = 3y = 3(800) = Rs 2400

We have to swapped the Q's investment i.e. for 8 months is Rs 2400 and for 4 months is Rs 1200.

The new ratio for P, Q  and R

= 400 x 8 + 1600 x 4 : 2400 x 8 + 1200 x 4 : 800 x 8 + 3200 x 4

= 9600 : 24000 : 19200

= 2 : 5 : 4

So, the required profit = $\frac{5 +4}{2 + 5+4} \times 46200 = \frac{9}{11} \times 46200 = 37800$.

Hence, total investment done by R is Rs 4000 and the required profit is Rs 37800.

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