Correct2
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A and B invest in the ratio of 3 : 5 respectively. After 6 months , C enters the business with the investment of the capital equal to that of B. What will be the ratio of the profits of A,B and C at the end of year?
6 : 10 : 5
3 : 5 : 5
3 : 5 : 2
6 : 2 : 3
Let investment of A = 3x
Investment of B = 5x
Investment of C = 5x
As we know ratio of profits = Ratio of investments
A's share : B's share : C's share
= 3x X 12 : 5x X 12 :5x X (12 - 6)
= 3x X 12 : 5x X 12 :5x X 6 = 6 : 10 : 5
Correct2
Incorrect-0.5
A and B started business by investing Rs.35000 and 20000 respectively. After 5 months B left the business and C joined the business with the sum of Rs.15000. The profit earned at the end of year is Rs.84125. What is the share of B in profit?
Rs.14133
Rs.15000
Rs.13460
Could not be determined
Ratio of equivalent capitals of A, B and C
= (35000 X 12) : (20000 X 5) : (15000 X 7)
=35 X 12 : 20 X 5 : 15 X 7
= 84 : 20 : 21
Let A's share = 84x
B's share = 20x
C's share = 21x
According to the question, 84x + 20x + 21x = 84125
= > 125x = 84125
X = (84125 / 125) = 673
B's share = 20x = 20 X 673 = Rs.13460
Correct2
Incorrect-0.5
A and B invest Rs. 3000 and Rs. 4000, respectively in a business. A received Rs. 10 per month out of the profit as a remuneration for running the business and the rest of the profit is divided in proportion to the investments. If in a year A totally receives Rs. 390, what does B receive?
Rs.630
Rs.360
Rs.480
Rs.380
Let the annual profit be Rs.x
Then, Rs.(x - 120) will be distributed between A and B as their shares of profit.
Ratio of profits = Ratio of investments
So, A : B = 3000 : 4000 = 3 : 4
A's share = 120 + (x - 120) X {tex} \frac{3}{7} {/tex}
= > 120 + (x - 120) X {tex} \frac{3}{7} {/tex} = 390
= > (x - 120) X {tex} \frac{3}{7} {/tex} = 390 - 120 = 270
= > x - 120 = 270 X {tex} \frac{7}{3} {/tex} = 630
B's share = {tex} \frac{4}{7} \times (x - 120) {/tex}
= {tex} \frac{4}{7} \times 630 {/tex} = Rs. 360
Correct2
Incorrect-0.5
Amit and Brijesh started a business with initial investments in the ratio of 12 : 11 and their annual profits were in the ratio of 4 : 1. If Amit invested the money for 11 months, then for what time Brijesh invested the money?
9 months
3 months
5 months
10 months
Let investment of Amit = 12x
And investment of Brijesh = 11x
Let Bijesh invested the money for Y months.
Then
Amit's investment : Brijesh's investment
= (12x X 11) : (11x X y) = 132x : 11xy
= 12 : y
So {tex} \frac{12}{y} = \frac{4}{1} {/tex} [so ratio of profit is 4 : 1]
= > 4y = 12
So y = {tex} \frac{12}{4} {/tex} = 3 months
Hence, Brijesh invested money for 3 months.
Correct2
Incorrect-0.5
A started the business investing RS. 35,000.After 6 month B Joined him with a capital of RS. 60,000. At the end of the year, total profit was RS. 26,000. What Will be the difference between shares of profits of A and B?
RS.1000
RS.2000
RS.2500
RS.3000
A : B => {tex} 35000\times 12 {/tex} : {tex} 60000\times 6 {/tex}
A : B => 7 : 6
{tex} \frac{7-6}{7+6} {/tex}={tex} \frac{?}{26000} {/tex}
? =RS. 2000
Correct2
Incorrect-0.5
Prabeer started a business investing RS.80,000 three month's after he started Sunder joined him With a capital of RS. 60,000. If at the end of the year, the total profit is RS.22,000, then What will be Sunder's share in it?
RS. 16,000
RS.14000
RS. 8000
RS. 7920
Prabeer : Sundar => {tex} 80,000\times 12 {/tex} : {tex} 60,000\times 9{/tex}
Prabeer : Sundar => 16 : 9
{tex} \frac{9}{16+9} {/tex}={tex} \frac{?}{22000} {/tex}
? =RS. 7920
Correct2
Incorrect-0.5
Jeevan started the business investing RS. 50,000 4 month after he started Anil joined him with a capital of RS. 90,000. If at the end of year, total profit in the bussiness was RS. 22,000, then what will be Anil's share in it?
RS.16,000
RS. 15,000
RS. 12,000
RS.10,000
Jeevan : Anil => {tex} 50,000\times 12 {/tex} : {tex} 90,000\times 8 {/tex}
Jeevan : Anil => 5 : 6
Anil's share = {tex} \frac{6}{11} \times 22000 {/tex}
=RS. 12000
Correct2
Incorrect-0.5
Prakash and Prabeer started a business investing RS. 80,000 and RS. 60,000 respectively. After 6 months, Prakash withdraw RS. 40,000. If at the end of the year they have a return of RS. 24,000, their shares of profit will be
RS. 1000, RS. 1400
RS. 12000, RS. 12000
RS.1400, RS. 1000
RS. 8000, RS. 1600
Prakash : Prabeer => 80,000 x 6 + 40,000 x 6 : 60,000 x 12
Prakash : Prabeer => 1:1
Hence partner will get RS. 12000.
Correct2
Incorrect-0.5
A began business with RS. 42,000 and was later joined by B with RS. 72000. When did B join if profits at the end of year was divided equally?
5 months after
7 months after
Can't say
None of these
A: B
42000 x 12 : 72000 x n = 1 : 1
n = 7
Hence B joined after 5 months.
Correct2
Incorrect-0.5
Three partners invest RS. 2000, RS. 2500 and RS. 1100 in a business and earn a profit of RS. 560. Then share of the person who invested RS. 2500 is
RS. 200
RS. 250
RS. 300
RS. 350
2000 : 2500 : 1100
20 : 25 : 11
Required share = 25/56 x 560
= RS. 250
Correct2
Incorrect-0.5
Three partners A, B and C start a business. Twice the Investment of A is equal to thrice the capital of B and capital of B is 4 times the capital of C. The difference of profits of B and C out of a total profit of RS. 2, 97,000 will be
RS. 1,62,000
RS. 1,08,000
RS. 27,000
RS. 81,000
2A = 3B => A : B = 3:2
B = 4C => B : C = 4 : 1
A:B:C = 6:4:1
B - C = 4 - 1 = 3
Also 3/11 = ?/ 2, 97,000
? = RS. 81,000
Correct2
Incorrect-0.5
A, B and C hire a meadow for RS. 4,650. A puts in 10 oxen for 20 days, B puts in 50 oxen for 8 days and C puts in 16 oxen for 9 days. The rent paid by B is
RS. 1,005
RS.1,500
RS. 1,550
RS. 2,500
A : B : C => 10x20 : 50x8 : 16x9
A : B : C => 25 : 50 : 18
Rent paid by B = 50/93 x4650
= RS. 2,500
Correct2
Incorrect-0.5
A began a business with RS. 2100 and is joined afterwards by B with RS. 3,600. After how many month did B join if profit at the end of the year are divided equally?
5
6
7
Can't say
A : B
2,100 x 12 : 3,600 x n = 1:1
7 : n = 1:1
n=7
Hence B joined after 5 months
Correct2
Incorrect-0.5
RS. 700 is divided among A, B and C so that A receives half as much as B and B half as much as C. Then C's share is
RS. 200
RS. 300
RS. 400
RS. 600
A = 1/2B => A : B = 1 : 2
B = 1/2C => B : C = 1 : 2
A : B : C = 1 : 2 : 4
C's share = 4/7 x 700
= RS. 400
Correct2
Incorrect-0.5
Manoj got RS. 6,000 as his share out of total profit of RS. 9,000 which he and Ramesh earned at the end of 1 year. If Manoj invested RS. 2,000 for 6 month whereas Ramesh invested his amount for the whole year, the amount invested by Ramesh was
RS. 4,000
RS. 3,000
RS. 1,000
RS. 500
Manoj : Ramesh => 2,000 x 6 : x X 12
Manoj : Ramesh => 6000 : 3000 = 2 : 1
{tex} \frac{2000 \times 6}{x \times 12} = \frac{6}{3}{/tex}
=> x= RS. 500
Correct2
Incorrect-0.5
Dilip, Ram and Amar started a shop by investing RS. 27,000, RS. 81,000 and RS. 72,000 respectively. At the end of 1 year, the profit was distributed. If Ram's share of profit be RS. 36,000, then total profit was
RS. 1,16,000
RS. 1,08,000
RS. 80,000
None of these
Dilip : Ram : Amar => 27 : 81 : 72
Dilip : Ram : Amar => 3 : 9 : 8
9/20 = 36,000/?
? =RS. 80,000
Correct2
Incorrect-0.5
In a partnership, A invests 1/6 of the capital for 1/6 of the time. B invests 1/3 of the capital for 1/3 of the time and C rest of the capital for whole time. Out Of a profit Of RS. 4,600, B's share is
RS. 1000
RS. 960
RS. 800
RS. 600
A : B : C => 2x2 : 4x4 : 6x12
A : B : C => 1 : 4 : 18
B's share = 4/23 x 4600
= RS. 800
Correct2
Incorrect-0.5
Four milkmen rented a pasture. A grazed 18 cows for 4 months, B grazed 25 cows for 2 months, C grazed 28 cows for 5 months and D grazed 21 cows for 3 months. If A's share of rent be RS. 360, then total rent of the field is
RS. 1,500
RS. 1,600
RS. 1,625
RS. 1,650
A : B : C : D => 18x4 : 25x2 : 28x5 : 21x3
A : B : C : D => 72 : 50 : 140 : 63
72/325 = 360/?
? = RS. 1625
Correct2
Incorrect-0.5
Three partners A, B and C invest RS. 3,000 RS. 4,000 and RS. 5,000 respectively. A get 15% of the profit as manager's salary and B gets 10% of the profit as Asst. Manager's salary. The remaining part of the profit is distributed among them in the ratio of their investments. If A receives RS. 540, the shares of B and C respectively are
RS. 560, RS. 500
RS.500, RS. 560
RS. 160, RS. 500
none of these
Total profit = x
Salary = 25/100 x = 1/4 x
Profit to be distributed is 3/4 of x in ratio 3 : 4 : 5.
A = 15/100x+ 3/12 X 3/4x
540 = 60x+75x/400
=> x = 1600
>B's share = 160+4/12 X 1200
= RS. 560
and C's share =5/12 X 1200
= RS. 500
Correct2
Incorrect-0.5
Sam invested Rs.7000 in a shop and Gupta joined him after 4 months by investing Rs.3000. After one year if the net profit be Rs.13500, then Gupta's share in the profit is
Rs.3600
Rs.3000
Rs.3800
Rs.3900
Sam's investment for 12 months = {tex} 12 \times 7000 = Rs.84000 {/tex}
Gupta's investment for 8 months = {tex} 8 \times 3000 = Rs.24000 {/tex}
Ratio of share : Ratio of investment = 84000 : 24000 = 84 : 24 = 7 : 2
Total profit = Rs.13500
Gupta's share = {tex} 13500 \times \frac{2}{9} {/tex} = Rs.3000
Correct2
Incorrect-0.5
A and B enter into partnership. A contributes Rs.8000 and B contributes Rs.10,000. At the end of 6 months they introduce C who contributes Rs.6000. After the gap of three years, they find that firm has made a profit of Rs.9660, find the share of each of them.
Rs.4200, 3360, 2100
Rs.3360, 4200, 2100
Rs.2100, 3360, 4200
Rs.2600, 4000, 3060
A's investment for 36 months = {tex} Rs.8000 \times 36 {/tex} = Rs.288000
B's investment for 36 months = {tex} Rs.10000 \times 36 {/tex} = Rs.360000
C's investment for 30 months = {tex} Rs.6000 \times 30 {/tex} = Rs.180000
A : B : C's ratio of shares = 288 : 360 : 180 = 48 : 60 : 30 = 24 : 30 : 15
Total profit = Rs.9660
A's share = {tex} 9600 \times \frac{24}{69} {/tex}
= {tex} 140 \times 24 {/tex} = Rs.3360
B's share = {tex} 9600 \times \frac{30}{24} {/tex}
= {tex} 140 \times 30 {/tex} = Rs.4200
C's share = {tex} 9660 \times \frac{15}{24} {/tex}
= {tex} 140 \times 15 {/tex} = Rs.2100
Correct2
Incorrect-0.5
A' began a small business with a certain amount of money. After four months from the start of the business. 'B' joined the business with an amount which was Rs.6,000 less than 'A's initial investment. 'C' joined the business after seven months from the start of business with an amount which was Rs.2,000 less than A's initial investment. At the end of the year total investment repented was Rs.1,42,000. What will be A's share in the profit. if B received Rs.8,000 as profit share? (in Rupees)
Rs.48,000
Rs.46.500
Rs.46.000
Rs.42,000
Let initial investment of A be Rs. x
Total investment at the end of year = 12x + 8 (x - 6000) + 5 (x - 2000)
= 12x + 8x + 5x - 48000 - 10000
= Rs.(25x - 58000)
25x - 58000 = 142000
=> 25x = 142000 + 58000
= 200000
=> x = 200000/25
= Rs. 8000
Ratio of profit sharing for A, B and C = (12 x 8000) : (8 x 2000) : (5 x 6000)
= 96000 : 16000 : 30000
= 48 : 8 : 15
B's share = Rs.8000
A's share = 48/8 x 8000
Correct2
Incorrect-0.5
A and B started a business with the investments in the ratio of 5:3 respectively. After 6 months from the start ofthe business, C joined them and the respective ratio between the investments of B and C was 2:3. If the annual profit earned by them was Rs.12,300. What was the difference between B's share and C's share in the profit?
Rs.900
Rs.800
Rs.600
Rs.400
A : B = 5:3 = 10 :6
B : C = 2 : 3 = 6 : 9
A : B : C = 10 : 6 : 9
Ratio of the equivalent capitals of A, B and C for 1 month = 10x x 12 : 6x x 12 : 9x x 6
= 20 : 12 : 9
Sum of the terms of ratio
= 20 + 12 + 9 = 41
Difference between the shares of B and C = (12-9/41) x 12300
= Rs. 900
Correct2
Incorrect-0.5
A and B started a business with initial investments in the respective ratio of 18:7. After four months from the start of the business, A invested Rs.2000 more and B invested Rs.7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2:1 respectively. What was the total initial investment with which A and B started the business?
Rs.50,000
Rs.25,000
Rs.1,50,000
Rs.75,000
A's initial investment = RS.18x B's initial investment = Rs.7x According to the question,
18x x 4 + (18x + 2000) x 8 / 7x x 4 + (7x + 7000) x 8
= 2/1
=> 18x x 4 + (18x + 2000)x2 /
7x x 4 + (7x + 7000) x 8
= 2/1
=> 18x + 36x + 4000
= 14x + 28x + 28000
=> 54x - 42x = 28000 - 4000
=> 12x = 24000
=> x=24000/12 = 2000
Total initial investment of A and B = 25x
= 25 x 2000
= Rs.50000
Correct2
Incorrect-0.5
Sunetra invested an amount of Rs.50,000 to start a software business. After six months Nikhil joined her with an amount of Rs.80,000. At the end of 3 years they earned a profit of Rs.24,500. What is Sunetra's share in the profit?
Rs.14,000
Rs.9423
Rs.10,250
None of these
The ratio of capital invested by each partner i.e. Sunetra and Nikhil for 1 month in order to get the same profit is :
36 x 50000 : 30 x 80000
= 3 : 4
Share of Sunetra out of
Rs.24500 = Rs.3/7 x 24500
= Rs.10,500