Question 1

A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 35,000, A receives :

Accepted Answer

Let C = x. Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000. So, x + x + 5000 + x + 9000 = 50000 <=> 3x = 36000 <=> x = 12000. A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12. A's share = Rs. (35000 * 21/50 ) = Rs. 14,700.

Question 2

A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then …

Accepted Answer

Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12 = 36 : 36 : 48 = 6 : 6 : 8 But given that the annual profit of B is Rs. 3000 => 6 ratio = 3000 Then for the total annual profit of partners is 20 ratio = 3000 x 20/6 = 10,000.

Question 3

A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

Accepted Answer

Let B's capital be Rs. x. Then, 3500 × 12 7 x = 2 3 => 14x = 126000 => x = 9000.

Question 4

P and Q started a business investing Rs, 85,000 and Rs. 15,000 respectively. In what ratio the profit named after 2 years bo divided between P and Q respectively ?

Accepted Answer

P : Q = 85000 : 15000 = 86 : 15 = 17 : 3 .

Question 5

A and B started a business investing the money in ratio 4:6, after 6 months B withdraw his investment and C joins him with twice the amount of B. At the end of the year total profit is Rs.3315. Find share of C ?

Accepted Answer

Ratio of investments of A, B & C => Share of C = 1530 Share of B = 765 Share of A = 1020

Question 6

A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were :

Accepted Answer

A : B : C = 7 : 8 : 11. Hire charges paid by B = Rs. (520 * 8/26) = Rs. 160.

Question 7

A certain amount is divided among P, Q and R in the ratio of 3 : 7 : 6 respectively. If the difference between share of P and Q is Rs. 2700, what is R's share?

Accepted Answer

Let the ratio amount be 'p' 7p - 3p = 2700 4p = 2700 p = 675 R's Share = 675 × 6 = Rs. 4050

Question 8

A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount?

Accepted Answer

Let O's share = Rs. P => N's share = 75 100 x P = 3 P 4 M's share = 5 4 x 3 P 4 = 15 P 16 15 P 16 + 3 P 4 + P = 4300 = > P = 4300 x 16 43 = 1600

Question 9

A,B and C enter into a partnership in the ratio 72:43:65 . 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 :

Accepted Answer

Given ratio of initial investments = 7 2 : 4 3 : 6 5 = 105 : 40 : 36. Let the initial investments be 105x, 40x and 36x. ∴ A : B : C = 105 x × 4 + 150 100 × 105 x × 8 : 40 x × 12 : 36 x × 12 = 1680x : 480x : 432x = 35 : 10 : 9. Hence, B's share = 21600 × 10 54 = Rs. 4000.

Question 10

Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments?

Accepted Answer

Let their investments be Rs. x for 12 months, Rs. y for 8 months and Rs. z for 6 months respectively. Then, 12x : 8y : 6z = 4 : 6 : 8 Now, 12x/8y = 4/6 <=> 9x=4y <=> y=9x/4 And, 12x/6z = 4/8 <=> 4x=z <=> z=4x Therefore, x : y: z = x : 9x/4: 4x = 4 : 9 : 16

Question 11

Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh?

Accepted Answer

Let the amount invested by saketh = RS. p Now, that of sandeep = 20,000 x 6 saketh = 12 x p Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000) => 120000 12 p = 6000 3000 = > p = Rs . 5000 Hence, the amount investe by saketh = Rs. p = Rs. 5000.

Question 12

In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 1,57,300 was their profit, how much amount did B receive ?

Accepted Answer

A : B = 3 : 2 => B : A = 2 : 3 = 4 : 6 and A : C = 2 : 1 = 6 : 3. So, B : A : C = 4 : 6 : 3 or A : B : C = 6 : 4 : 3. B's share = Rs. (157300 x 4/13 ) = Rs. 48400.

Question 13

Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is

Accepted Answer

Let C = x. Then B = x/2 and A = x/4 A:B:C = 1:2:4. C's share Rs.[(4/7)*700) = 400

Question 14

A & B invest Rs. 1,16,000 & 1,44,000 respectively. B invests for 6 months. At the end of the year, B’s share is Rs. 9000, find the overall profit?

Accepted Answer

Given A & B in partnership A Invests 116000 for 12 months => A's share = 116000 x 12 = 13,92,000 B Invests for 6 months => B's share = 144000 x 6 = 8,64,000 Their Ratio = 1392 : 864 = 29 : 18 Let the Annual profit = P Given B's share = Rs. 9000 => 18/47 x P = 9000 => P = 9000 x 47/18 => P = 23,500 Hence, Overall profit = P = Rs. 23,500

Question 15

A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A ?

Accepted Answer

The ratio of A & B investments = (3x8 + 2x4):(4x8 + 5x4) => 8:13 => 8/21 x 630 = 240.

Question 16

Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?

Accepted Answer

Let the amounts to be received by P, Q and R be p, q and r. p + q + r = 1200 p = 1/2 (q + r) => 2p = q + r Adding 'p' both sides, 3p = p + q + r = 1200 => p = Rs.400 q = 1/3 (p + r) => 3q = p + r Adding 'q' both sides, 4q = p + q + r = 1200 => q = Rs.300 r = 1200 - (p + q) => r = Rs.500.

Question 17

Rohith started a business by investing Rs. 3600. After somedays, Puneeth joined him by investing Rs. 2400. At the end of one year, the profit was divided in the ratio 2 : 1. After how many months did Puneeth join the business?

Accepted Answer

Ratio of profit of Rohith and Puneeth = 3600 x 12 : 2400 x P = 3600 x 12/2400P = 2/1 => P = 9 So, Puneeth joined the business after (12 - P) = 12 - 9 = 3 months.

Question 18

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 profi…

Accepted Answer

Interest received by L from K = 8% of half of Rs.40,000 ⇒ 8 100 × 20000 = 1600 Amount received by L per annum for being a working partner = 1200 x 12 = Rs.14,400 Let 'A' be the part of remaing profit that 'L' receives as his share. 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 --> (1600 + 14400 + A ) = 2A --> A= Rs.16000 Thus total profit = 2A + Rs.14,400= 2(16000) + 14400 = 32000 +14400 = Rs.46,400.

Question 19

A and B entered into a partnership investing Rs. 13,000 and Rs. 12,000 respectively.After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more, After 3 more months, C joins the business with a capital of Rs. 21,000, The share of B exceeds th…

Accepted Answer

A : B : C = (16000 * 3 + 11000 * 9) : (12000 * 3 + 17000 * 9) : (21000 * 6) = 147 : 189 : 126 = 7 : 9 ; 6. Difference of B and C's shares = Rs. ( 26400 * 9/22 - 26400 * 6/22 ) = Rs. 3600.

Question 20

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?

Accepted Answer

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 = 2 x 25000/5 = Rs.10000 Similarly, share of B in the total profit = 3 x 25000/5 = Rs.15000

Partnership Questions