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QUESTION: 1

Karolin and Swaetha are partners in a business. Karolin invests Rs.35,000 for 6months and Swaetha invests Rs.40,000 for 8 months. Out of a profit of Rs.28,750, Karolin’s share is

Solution:

B)Rs.11,392 Explanation : 35,000*6 : 40000*8

2100:3200

21:32

Karolin’s share = 21*28750/53 = 11391.5 = 11392

QUESTION: 2

Mohan and Suresh entered into a partnership investing Rs.10000 and Rs.8000 rep. After 3 months Udhay joined them with an investment of Rs.12000. What is the share of Suresh in a half yearly profit of Rs.7200 ?

Solution:

D) Rs.2400 Explanation : 10000*6 : 8000*6 : 12000*3

10*6 : 8*6 : 12*3

60 :48 :36

5 : 4 : 3

Suresh profit = 7200*4/12 = 2400

QUESTION: 3

A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year by

Solution:

A)Rs.4546 Explanation : (12000*3+9000*9):(10000*3+14000*9):(15000*6)

117000:156000:90000

117:156:90 => 39:52:30

B = 52*25000/121 = 10744

C = 30*25000/121 = 6198

Diff = 10744 – 6198 = 4546

QUESTION: 4

P and Q invested in a business. They earned some profit which they divided in the ratio of 2:3. If P invested Rs.30000, the amount invested by Q is

Solution:

C)Rs.45,000 Explanation : 30,000:Q = 2:3

Q = 90,000/2 = 45,000

QUESTION: 5

Naren received Rs.8000 as his share out of the total profit of Rs.12000 which he and Praba earned at the end of one year. If Naren invested Rs.20,000 for 6 months, whereas Praba invested his amount for the whole year , what was the amount invested by Praba ?

Solution:

D)Rs.5,000 Explanation : P = 8000:4000 = 2:1

20000*6 : x*12 = 2:1 20000:2x = 2:1 20000/2x =2/1 2X = 20000*1/2 =>x = 5,000

QUESTION: 6

Rs.1200 is divided among A,B,C so that A receives half so much as B and B half as much as C. Then B’s share is

Solution:

B) Rs.343 Explanation : Let C = x x: 2X : 4X = 1:2 :4 B =1200*2/7 = 342.8 = 343

QUESTION: 7

A,B and C started a shop by investing Rs.27000, Rs.48000 and Rs.63000 respectively. At the end of the year the profits were distributed among them.If B’s share of profit be Rs.19200, then the total profit was

Solution:

D) Rs.55200 Explanation : A:B:C = 27:48:63 = 9:16:21

16x/46 = 19200 X = 19200*46/16 = 55200

QUESTION: 8

A sum of money is divided among P,Q,R and S in the ratio 5:4:7:9 respectively.If the share of P is Rs.2300 more than that of Q, then what is the total amount of R and S together ?

Solution:

A)Rs.36800 Explanation : 5x-4x = 2300 X = 2300

R = 7*2300 = 16100

S = 9*2300 = 20700

R+S = 36800

QUESTION: 9

A and B invest in a business in the ratio 3 : 7 . If 10 % of the total profit goes to charity and A’s share is Rs. 923, the profit is

Solution:

C)Rs.3418 Explanation : Total profit = 100, Charity = 10 A’s share = 90*3/10 = 27 Total profit = 100*923/27 = 3418

QUESTION: 10

A invested Rs 60000 in a business. After few months, B joined him with Rs 24000. The total profit was divided between them in the ratio 3 : 1 at the end of the year. After how many months did B join?

Solution:

B)2 months Explanation : A : B

60*12 : 24x = 3:1 60*12/24x = 3/1 = 3 x = 60*12/24*3 = 60*4/24 = 10

12 – 10 = 2

After 2 months B joined

QUESTION: 11

Niharika and Kritika investedin a business in the ratio 12 : 5. If 15% of the total profit goes to charity and Niharika’s share is Rs. 1055, the total profit is

Solution:

Answer – C)Rs.1758.33 Solution: Total profit(say)= Rs.100.

After paying to charity, Niharika’s share=85*(12/17)= Rs.60 If Niharika’s share=60, Total profit=Rs.100 If Niharika’s share=1055, Total profit= (100/60)* 1055= Rs.1758.33

QUESTION: 12

A, B, C started a business with their investments in the ratio 2:4:5. After 8 months, A invested the same amount as before and both B and C withdrew half of their investments. The ratio of their profits at the end of the year is:

Solution:

Answer – B)12:20:25 Solution: Investments: 2x,4x,5x A:B:C=2x*8+2x*4 : 4x*8+(4x/2)*4 : 5x*8+(5x/2)*4 A:B:C= 12:20:25

QUESTION: 13

A,B and C jointly engaged in a business. It was agreed that A would invest Rs. 6500 for 6months, B Rs.8400 for 5 months and C Rs.10000 for 3months. A wants to be a working partner and he was to receive 5% of the profits. The profit earned was Rs.7400. Calculate share of C.

Solution:

Answer – B)Rs.1900 Solution: A received 5% of the profits i.e. 5% of 7400= Rs.370 Remaining= 7400-370= Rs.7030 Ratio of investments: 6500*6 : 8400*5 : 10000*3 Ratio= 13:14:10, Share of C= (10/37)*7030=Rs.1900

QUESTION: 14

A, B, C subscribe Rs. 60,000 for a business, A subscribes Rs.8000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 40,000, A receives :

Solution:

Answer – B)Rs.18000 Solution: Let C = x then B = x + 5000 and A = x + 5000 + 8000 = x + 13000. x + x + 5000 + x + 13000 = 60000 <=> 3x = 42000 , x = 14000.

A : B : C = 27000 : 19000 : 14000 = 27 : 19 : 14

A’s share = Rs. (40000 * 27/60 ) = Rs.18,000

QUESTION: 15

A, B, C rent a pasture. A puts 20 oxen for 8 months, B puts 12 oxen for 6 months and C puts 16 oxen for 4 months for grazing. If the rent of the pasture is Rs. 278, how much must A pay as his share of rent?

Solution:

Answer – C)Rs.60.11 Solution: A:B:C = (20*8) : (12*6): (16*4)= 20:9:8

C’s rent= (8/37) * 278= Rs.60.11

QUESTION: 16

3 partners started a business. Twice the investment of A is equal to thrice the capital of B and capital of B is four times the capital of C. Find the share of B out of profit of Rs.309100.

Solution:

Answer – C)Rs.112400 Solution: C=x, B=4x 2(A’s capital)= 3(B’s capital)= 3*4x A’s capital= (3*4x /2) = 6x Ratio: 6:4:1 B’s share= 4/11 * 309100

QUESTION: 17

A, B and C enter into a partnership in the ratio 5/2:4/3:7/5 . After 4 months, A increases his share 23%. If the total profit at the end of one year be Rs.31,800, then B’s share in the profit is:

Solution:

Answer – B)Rs.7548.96 Solution: Ratio= 75:40:42 A:B:C = 75x *4+ (123/100 *75x *8) : 40x *12 : 42x*12 = 173: 80 :84 B’s share= 80/337 * 31800 = Rs. 7548.96

QUESTION: 18

A starts business with Rs.4000 and after 6 months B joins with A as his partner.After a year, the profit is divided in the ratio 2:7. What is B’s contribution in the capital?

Solution:

Answer – C)Rs.4666.66 Solution:4000 * 12/ 6x) =2/7

QUESTION: 19

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.261300 was their profit how much amount did B receive?

Solution:

Answer – B)Rs.120600 Solution: A:B= 3:2, B:A=2:3= 4:6

A:C= 2:1= 6:3

B’s share= 6/13 * 261300

QUESTION: 20

A,B and C shared the profit in a business in the ratio 5:7:8 and partnered for 14 months, 8 months and 7 months. Ratio of their invesments is:

Solution:

Answer – B)20:49:64 Solution: Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months 14x : 8y : 7z = 5 : 7 : 8 14x/8y = 5/7 y = (49/20)x 14x/7z = 5/8 z = (16/5)x x:y:z = x:(49/20)x:(16/5)x 20:49:64

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