# Partnership Questions

Q:

Two partners investede Rs. 1250 and Rs. 850 respectively in a business. They distributed 60% of the profit equally and decide to distribute the remaining 40% as the ratio of their capitals. If one partner received Rs. 30 more than the other, find the total profit?

Let the total profit be Rs.x

60% of the profit = $\inline&space;\frac{60}{100}\times&space;x=Rs.\frac{3x}{5}$

from  this part of the profit each gets = Rs.$\inline&space;\frac{3x}{10}$

40% of the profit = $\inline&space;\frac{40}{100}\times&space;x=Rs.\frac{2x}{5}$

Now, this amount of Rs.$\inline&space;\frac{2x}{5}$ has been divided in the ratio of capitals 1250 : 850 = 25 :17

$\inline&space;\therefore$ Share on first capital = $\inline&space;(\frac{2x}{5}\times&space;\frac{25}{42})=Rs.\frac{5x}{21}$

Share on second capital = $\inline&space;(\frac{2x}{5}\times&space;\frac{17}{42})=Rs.\frac{17x}{105}$

Total money received by 1st investor = $\inline&space;[\frac{3x}{10}+\frac{5x}{21}]=&space;Rs.\frac{113x}{210}$

Total money received by 2nd investor = $\inline&space;[\frac{113x}{210}+\frac{97x}{210}]=Rs.\frac{97x}{210}$

$\inline&space;\therefore$ x = 393.75

Hence total profit = Rs. 393.75

3322
Q:

If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive ____

 A) Rs.700 B) Rs.800 C) Rs.900 D) Rs.1000

Explanation:

Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6,  and C =k/10 .

A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.

Hence, C's share (4650 *  6/31) = Rs, 900.

5 3313
Q:

A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?

 A) 144 B) 169 C) 225 D) 339

Explanation:

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

Let their initial investments be 6x, 2x and 3x respectively.

A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.

B's share =  Rs. (378 * 8/21) = Rs. 144.

5 3260
Q:

A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?

 A) 144 B) 169 C) 225 D) 339

Explanation:

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

Let their initial investments be 6x, 2x and 3x respectively.

A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.

B's share =$\inline \fn_jvn Rs.(378\times \frac{8}{21})$  = Rs. 144.

7 2967
Q:

A and B started a business jointly A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is :

 A) 22000 B) 28000 C) 32000 D) 36000

Explanation:

Suppose B invested Rs. x for y months. Then, A invested Rs. 3x for 2y months.

So, A : B = (3x * 2y) : (x * y) = 6xy : xy = 6 : 1.

B's profit : Total profit  = 1 : 7.

Let the total profit be Rs. x Then,  1/7 = 4000/x  or x = 28000.