14
Q:

# A and B enter into partnership. A supplies whole of the capital amounting to Rs. 45000 with the condition that the profits to be equally divided and that B pays A interest on half of the capital at 10% per annum, but receives Rs. 120 per month for carrying on the concern.Find their total yearly profit when B's income is one half of A's income.

Q:

K and L start the business, with L investing the total capital of Rs. 40,000 on the condition that K pays L interest @ 8% per annum on his half of the capital. L is a working partner and receives Rs.1200 per month from the total profit and any profit reamaining is equally shared by both of them. At the end of the year, it was found that the income of L is twice that of K. Find the total profit for the year ?

 A) Rs.44000 B) Rs.46400 C) Rs.480800 D) Rs.46000

Explanation:

Interest received by L from K = 8% of half of Rs.40,000

$\inline \fn_jvn \small \Rightarrow \frac{8}{100}\times 20000 = 1600$  = Rs.1600

Amount received by L per annum for being a working partner = 1200$\fn_jvn&space;\small&space;\times$12 = Rs.14,400

Let 'A' be the part of remaing profit that 'L' receives as his share.

$\fn_jvn&space;\small&space;\therefore$ Total income of 'K' = only his share from the reamaing profit

= 'A', as both share equally.

Given income of L = Twice the income of K

$\fn_jvn&space;\small&space;\Rightarrow$ (1600 + 14400 + A ) = 2A

$\fn_jvn&space;\small&space;\Rightarrow$ A= Rs.16000
Thus total profit = 2A + Rs.14,400= 2(16000) + 14400

= 32000 +14400 = Rs.46,400.

6 88
Q:

A,B and C enter into a partnership in the ratio  $\inline \fn_jvn \small \frac{7}{2}:\frac{4}{3}:\frac{6}{5}$. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is :

 A) Rs. 4000 B) Rs. 6000 C) Rs. 9000 D) Rs. 3000

Explanation:

Given ratio of initial investments = $\inline&space;\frac{7}{2}&space;:&space;\frac{4}{3}&space;:&space;\frac{6}{5}$ = 105 : 40 : 36.

Let the initial investments be 105x, 40x and 36x.

$\inline&space;\therefore&space;A&space;:&space;B&space;:&space;C$ = $\inline \fn_jvn \small \left ( 105x\times 4+\frac{150}{100}\times 105x\times 8 \right ):\left ( 40x\times 12 \right ):\left ( 36x\times 12 \right )$

= 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = $\inline \fn_jvn \small Rs.\left ( 21600\times \frac{10}{54} \right )$ = Rs. 4000.

5 221
Q:

Three milkmen rented a pasture. A grazed 24 cows for 4 months; B 10 cows for 6 months; C 56 cows for 5 months. If A's share of rent is Rs. 960, find the total rent of the field?

 A) 4530 B) 4440 C) 4360 D) 4280

Explanation:

Ratio of shares of A,B,C = (24 x 4) : (10 x 6) : (56 x 5)

= 96 : 60 : 280.

Let total rent be Rs. x. Then, A's share = $\inline \fn_jvn \small Rs.\frac{96x}{436}$

$\inline \fn_jvn \small \therefore \frac{96x}{436}=960\Leftrightarrow x=\frac{960\times 436}{96}=4360$

Hence total rent of the field is Rs. 4360.

4 89
Q:

A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?

 A) Rs. 39000 B) Rs. 49000 C) Rs. 59000 D) Rs. 69000

Explanation:

Interest received by A from B = 10% of half of Rs.50000 = 10% of Rs. 25000 = Rs.2500.

Amount received by A per annum for being a working partner = 1500 x 12 = Rs.18000

Let 'P' be the part of the remaining profit that A receives as his share.

So,total income of A = (Rs.2500 + Rs.18000 + Rs. P )

Total income of B = only his share from the remaining profit = 'P', as  A and B share the remaining profit equally.

We know that income of A = Twice the income of B

So, (2500 + 18000 + P ) = 2(P)

P = 20500

Thus, the total profit = 2P + Rs.18000

= 2(20500) + 18000 = Rs.59000.

6 728
Q:

A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?

 A) 10000 and 15000 B) 15000 and 10000 C) 5000 and 20000 D) 20000 and 5000

Explanation:

As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested.

Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3.

Hence, share of A in the total profit = $\inline \fn_cm \frac{2}{5}\times 25000$ = Rs.10000

Similarly, share of B in the total profit = $\inline \fn_cm \frac{3}{5}\times 25000$ = Rs.15000