- Rs.1200 is divided among A,B,C so that A receives half so much as B and B half as much as C. What is B’s share.
Rs.330Rs.310Rs.325Rs.343Rs.300Option D

Let C = x

x: 2X : 4X = 1:2 :4

B =1200*2/7 = 342.8 = Rs.343 - Alok received Rs.8000 as his share out of the total profit of Rs.12000 which he and Sahil earned at the end of one year. If Alok invested Rs.20,000 for 6 months, whereas Sahil invested his amount for the whole year , what was the amount invested by Sahil ?
Rs. 2,000Rs. 1,000Rs. 3,000Rs. 4,000Rs. 5,000Option E

Ratio = 8000:4000 = 2:1

20000*6 : x*12 = 2:1

20000:2x = 2:1

20000/2x =2/1

2x = 20000*1/2

=>x = Rs. 5,000 - 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?
5 months6 months4 months2 months3 monthsOption D

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. - A and B are partners in a business. A invests Rs.35,000 for 6months and B invests Rs.40,000 for 8 months. Out of a profit of Rs.28,750. What is the A’s share.
Rs.11000Rs.11392Rs.10238Rs.12170Rs.12783Option B

Ratio = 35,000*6 : 40000*8

2100:3200

21:32

A’s share = 21*28750/53 = 11391.5 = Rs.11392 - Raman and Rakhi entered into a partnership investing Rs.10000 and Rs.8000 rep. After 3 months Rina joined them with an investment of Rs.12000. What is the share of Rakhi in a half yearly profit of Rs.7200 ?
Rs.2300Rs.2700Rs.2400Rs.1900Rs.2000Option C

Ratio of their investment =

10000*6 : 8000*6 : 12000*3

10*6 : 8*6 : 12*3

60 :48 :36

5 : 4 : 3

Rakhi profit = 7200*4/12 = Rs.2400 - A, B, C subscribe Rs. 60,000 for a business, A subscribes Rs.8000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 40,000, A receives how much.
Rs.18,000Rs.16,000Rs.12,000Rs.10,000Rs.14,000Option A

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 - Three 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.
Rs.101500Rs.110350Rs.128900Rs.103990Rs.112400Option E

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 = Rs.112400 - 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. Find the ratio of their investments.
20:41:6510:43:6420:49:6421:40:6323:49:61Option C

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 - 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.
Rs.1600Rs.1500Rs.1800Rs.1900Rs.1700Option D

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 - P and Q started a partnership business investing some amount in the ratio of 3:5. R joined them after six months with an amount equal to that of Q. In what proportion should the profit at the end of one year be distributed among P, Q and R?
6 : 13 : 74 : 10 : 96 : 10 : 53 : 11 : 56 : 10 : 7Option C

Let the initial investments of P and Q be 3x amd 5x.

P : Q : R = (3x * 12) : (5x * 12) : (5x * 6) = 36 : 60 : 30 = 6 : 10 : 5