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QUESTION: 1

A, B and C jointly start a business venture with a agreement that A would invest Rs. 13,000 for 6 months, B, Rs. 16,800 for 5 months and C, Rs. 20,000 for 3 months. A wants to be the working member for which he was to receive 5% of the profits. The profit earned was Rs. 14800 Calculate the share of B in the profit?

Solution:

Answer – B (Rs 5320) Explanation – For managing, A receives = 5% of Rs. 14800 = Rs. 740.

Balance = Rs. (14800 – 740) = Rs. 14060 Ratio of their investments = (13000 x 6) : (16,800 x 5) : (20000 x 3) = 78000 : 84000 : 60000 = 13 : 14 : 10

B’s share = Rs.14060 x 14/37 = 5320

QUESTION: 2

Anuj, kamlesh and Vinni invested Rs. 16000, Rs. 8000 and Rs. 16000 respectively to open a business. Anuj left after 6 months. If after 8 months, there was a gain of Rs. 8010, then What will be the share of kamalesh?

Solution:

Answer – A (1780) Explanation – Anuj : Kamalesh : Vinni = (16000 x 6) : (8000 x 8) : (16000 x 8) = 48 : 32 : 64 = 3 : 2 : 4.

Kamal’s share = Rs.8010 x 2/9 = Rs. 1780.

QUESTION: 3

A and B start a business with investments of Rs. 10000 and Rs. 9000 respectively. After 4 months, A takes out 1/2 of his capital. After 2 more months, B takes out 1/3 of his capital while C joins them with a capital of Rs. 14000. At the end of a year, they earn a profit of Rs. 10160. Find the share of each member in the profit?

Solution:

Answer – B (A – Rs. 3200, B – Rs. 3600, C – Rs. 3360) Explanation – A : B : C = (10,000 x 4 + 5000 x 8) : (9000 x 6 + 6000 x 6) : (14000 x 6) = 80000 : 90000 : 84000 = 40 : 45 : 42

A’s share = Rs. 10160 x 40/127 = Rs. 3200; B’s share = Rs. 10160 x 45/127 = Rs. 3600; C’s share = Rs. 10160 x 42/127 = Rs. 3360.

QUESTION: 4

Anaya, Bela and Cendrella enter into a partnership Bussiness with Anaya’s contribution Rs. 20,000. If out of a total profit of Rs. 2000, Anaya gets Rs.100 and Bela gets Rs. 600, cendrella gets rs 400 then Cendrella’s capital is:

Solution:

Answer – A (Rs. 8000) Explanation – A : B : C = 1000 : 600 : 400 = 5 : 3 : 2.

Let their capitals be 5x, 3x, 2x respectively.

Then, 5x = 20000 x = 4000.

C’s capital = 2x = Rs. 8000.

QUESTION: 5

Riya and sima invested in a partnership business. Riya invests Rs. 70,000 for 8months and sima invests Rs. 84,000 for 10 months. Out of a profit of Rs. 63140, Riya’s share is:

Solution:

Answer – B (Rs. 25256) Explanation – Ratio of their shares = (70000 x 8) : (84000 x 10) = 2 : 3.

Reena’s share = Rs.63140 x 2/5 = Rs. 25256

QUESTION: 6

A starts business with Rs. 7000 and after 5 months, B joins with A as his partner. After 1 year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital?

Solution:

Answer – D (Rs 18000) Explanation – Let B’s capital be Rs. x. Then. (7000 x 12) / 7x = 2/3 [ capital ratio= profit ratio] 14x = 252000 x = 18000

QUESTION: 7

shikha started a business investing Rs. 50,000 in 1999, In 2000, she invested an additional amount of Rs. 20,000 and Raju joined him with an amount of Rs. 70,000. In 2001, Shikha invested another additional amount of Rs. 20,000 and Jolly joined them with an amount of Rs. 70,000. What will be Raju’s share in the profit of Rs. 300,000 earned at the end of 3 years from the start of the business in 1999?

Solution:

Answer – C (Rs. 100,000) Explanation – Shikha : Raju : Jolly = (50000 x 12 + 70000 x 12 + 90000 x 12) : (70000 x 24) : (70000 x 12) = 2520000 : 1680000 : 840000 = 3 : 2 : 1

Raju’s share = Rs.300,000 x 2/6 = Rs. 100,000.

QUESTION: 8

A, B and C started a business. They invest Rs. 80,000, Rs. 160,000 and Rs. 2,40,000 respectively. At the end of the first year, B withdraws Rs. 80,000, while at the end of the second year, C withdraws Rs. 160,000. In what ratio will the profit be shared at the end of 3 years?

Solution:

Answer – D (3:4:7) Explanation – A : B : C = (80000 x 36) : (160000 x 12 + 80000 x 24) (240000 x 24 + 80000 x 12) =144 : 192 : 336 = 3: 4 : 7

QUESTION: 9

3 partners P, Q, R start a business. Twice P’s capital is equal to thrice Q’s capital and Q’s capital is four times R’s capital. Out of a total profit of Rs. 16,500 at the end of the year, Q’ share is:

Solution:

Answer – D (6000) Explanation – Let R = a. Then, Q = 4a and 2P = 3 x 4a = 12a or P = 6a. ∴ P : Q : R = 6a : 4a : a = 6 : 4 : 1.

So, Q’s capital = Rs. [16500 x 4/11] = Rs. 6000

QUESTION: 10

A, B, C hired a car for Rs. 1040 and used it for 7,8 and 11 hours respectively.Hire charges paid by B were:

Solution:

Answer – A (320) Explanation – A : B : C = 7 : 8 : 11.

Hire charges paid by B = Rs. [1040 x 8/26] = Rs.320

QUESTION: 11

A and B start a business Rs.75000 and RS.12000. In what ratio of profit earned after 2 years be divided between A and B ?

Solution:

Answer -D) 25: 4 Explanation :75000 : 12000 = 75 : 12 = 25 : 4

QUESTION: 12

X , Y and Z hire a Auto Rs.250 and used it for 4,3 and 2 hours respectively. Hir charge paid by Z is

Solution:

Answer -C) 55.55 Explanation : X:Y:Z = 4:3:2

Z = 250×(2/9) = 55.55

QUESTION: 13

In a business P and R invested amounts in the ratio 2 : 3 whereas the ratio between amount invested by P and Q was 4:2. If 2,20,500 was their profit.How much amount did R receive ?

Solution:

Answer – A) 1,10,250 Explanation : P : Q = 4 : 2=> Q : P = 2 : 4

P : R = 2 : 3=> 4 : 6

P : Q : R =4 : 2 : 6

R share = (6/12)×2,20,500 = 1,10,250

QUESTION: 14

A , B and C subscribe Rs. 70,000 for a business .B subscribe Rs.5000 more than A and C subscribe Rs.6000 more than B. Out of total profit of Rs. 40,000 , A receive (approximately)

Solution:

Answer -B) 10,286 Explanation : A = X; B = X+5000 ; C=X+11000

X+X+5000+X+11000 = 70000

X = 70000-16000/3 = 18000

A : B : C = 18,000 : 23,000 : 29,000 = 18 : 23 : 29

A profit = 40,000×(18/70) =10,285.71= 10,286

QUESTION: 15

Akash,Balu and Gopi invested Rs. 6000 , Rs.4000 and Rs.8000 in a business.Akash left a business after 6 months.If after one year there was a gain of Rs.5200.Then what will be the share of Akash ?

Solution:

Answer -C) 1040 Explanation : A B G

6000×6 4000×12 8000×12

3 4 8

A:B:G = 3:4:8

Akash share = 5200×(3/15) = 1040

QUESTION: 16

A ,B and C started a business with an invested amount 66,000, 72,000 and 90,000.At the end of 1 year the profit is distributed among them.If B receive profit as 22,000 then what will be the total profit ?

Solution:

Answer – B) 69,666.66 Explanation : 66:72:90 => 11 : 12 : 15

B=> 12x = 22000 Total profit = 38/12 ×22,000 = 69666.66

QUESTION: 17

P and Q invested Rs.16000 and Rs. 12,000 in the business, At the end of 6 months R joins them with an amount Rs.20,000.In what ratio annual profit is divided among them ?

Solution:

Answer -A) 8:6:5 Explanation : P Q R

16000×12 2000×12 20,000×6

8 6 5

P:Q:R = 8:6:5

QUESTION: 18

Three partners shared a profit in the ratio 5:7:8.They had partnered for 10 months,8 months and 7 months. What was the ratio of their investments ?

Solution:

Answer -B) 28:49:64 Explanation : 10×a : 8×b ; 7×c = 5 : 7: 8 10a/8b = 5/7 => b = 7/5 a 10a/7c = 5/8 => c = 16/7a a:b:c = a:7/5a:16/7a = 28a:49a:64a => 28:49:64

QUESTION: 19

Raju,Vikram and Rihan are invested some amount into the business.Vikram invested double the amount after 6 mionths and Rihan invested thrice the amount invested by Raju after 8 months.What is Rihan’s share in profit if they earn a profit of Rs.60000 at the end of 1 year ?

Solution:

Answer – D) 20,000 Explanation : Investment Ra = X for 12 months = 12x Investment V = 2X for 6 months = 12x Investment Ri = 3X for 4months = 12x Raju : Vikram : Rihan = 12:12:12 = 1:1:1 Rihan’s share in profit = 1/3×60,000 =20,000

QUESTION: 20

Anju and Bimal are partners in a business. Anju contributes 1 / 4 of the capital for 15 months and Bimal received 2 / 3 of the profit, for how long Bimal’s money was used ?

Solution:

Answer- D (10 months) Explanation- Let total profit is x Then Bimal’s share in profit= (2/3)x so anju’s share in profit= x- (2/3)x =x/3 so,we get ratios of profit of Anju :Bimal :: 1:2 Let total capital invested be Rs P and Anju’s money was used for 15 months while Bimal’s money was used for b months . then, (1/4)P X 15 divide by (3/4)P x b = 1/2 [ Capital x time =profit] so,we get b=10 Bimal’s money was used for 10 months

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