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Aman invested Rs. 76,000 in a firm. After initial few months, Shravan joined him further with Rs. 57,000. Now the profit at the end of the year between them was in the ratio 2:1. After how many months did Shravan join the business?

A.

2 months

B.

3 months

C.

4 months

D.

5 months

Answer with explanation

Answer: Option CExplanation

Assume that B joins for x months . Then

A : B = 76000*12 : 57000*x = 2:1

=> 76*12 : 57x = 2:1

=> 76*12/57x = 2/1 = 2

=> x = 76*12/57*2 = 76*4/19*2 = 8

Hence B was there in the business for 8 months, or joined after 12-8 = 4 months

OR

Suppose B joined A after x months.

So A has kept Rs 76000 for 12 months and B Rs 57000 for 12-x months.

The profit is shared in the ratio of capitals deployed by them

=> (76000 x 12):57000(12-x) = 4(12):3(12-x)

= 16:(12-x). This is given to be 2:1

=> 16= 2(12-x)

=> x= 4.

So B joined A four months later.

Workspace

In a particular business, X and Z invested the amounts in the ratio of 2:1, while the amount invested X and Y is 3:2. If the total profit was Rs. 1,57,300, then find the amount that Y received.

A.

Rs. 36,300

B.

Rs. 24,200

C.

Rs. 48,400

D.

Rs. 72,600

Answer with explanation

Answer: Option CExplanation

B received Rs. 48,400

Step-by-step explanation:

Given,

A and C invested amounts in the ratio 2 : 1 , that is,

A : C = 2 : 1

The ratio between amounts invested by A and B was 3:2 , that is,

A : B = 3 : 2

We can also write this ratio as B : A = 2 : 3

⇒ B : A = 4 : 6 [ Multiplying the ratios by 2 ]

Also,

A : C = 2 : 1

⇒ A : C = 6 : 3 [ Multiplying the ratios by 3 ]

So now,

B : A : C = 4 : 6 : 3

This can also be written as :

A : B : C = 6 : 4 : 3

Total shares = 6 + 4 + 3 = 13

According to question,

Profit = 157300

Amount received by B = ( Share of B / Total shares ) * Profit

=

= 48,400

Hence,

B received Rs. 48,400

Workspace

A starts business with a capital of Rs. 1200. B and C join with some investments after 3 and 6 months, respectively. If at the end of a year, the profit is divided in the ratio 2:3:5 respectively, what is B’s investment in the business?

A.

Rs. 2400

B.

Rs. 3600

C.

Rs. 1800

D.

Rs. 6000

Workspace

A, B, C enter into a partnership with shares in the ^{7}/_{2}: ^{4}/_{3}: ^{6}/_{5} ratio After 4 months, A increase 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

A.

Rs. 2100

B.

Rs. 2400

C.

Rs. 3600

D.

Rs, 4000

Workspace

Aman began a business with Rs. 550 and was joined afterwards by Rahul with Rs. 330. When did Rahul join if the profits at the end of the year were divided in the ratio 10:3?

A.

After 4 months

B.

After 6 months

C.

After 4.5 months

D.

None of these

Answer with explanation

Answer: Option BExplanation

Workspace

A and B started a business by investing money in ratio of 5:6. C joined them after few months by sharing an amount equal to B’s share. At the end of year 20% profit was earned which was equal equal to Rs 98,000. How much money was invested by C ?

A.

Rs 240000

B.

Rs 250000

C.

Rs 230000

D.

Rs 210000

Answer with explanation

Answer: Option DExplanation

First of all we will calculate the weighted ratios

⇒ A = 5 × 12 = 60

⇒ B = 6 × 12 = 72

⇒ C = 6 × 6 = 36

Total investment at the end of year = 98000 × 100/20 = Rs 4,90,000

⇒ Investment by C = 490000 × 36 / 168 × 2 = Rs 210000

Workspace

Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?

A.

Rs. 890

B.

Rs. 1335

C.

Rs. 1602

D.

Rs. 1780

Answer with explanation

Answer: Option AExplanation

Workspace

A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

A.

Rs. 7500

B.

Rs. 9000

C.

Rs. 9500

D.

Rs. 10,000

Answer with explanation

Answer: Option AExplanation

A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3

B’s share = 25000 * 3/10 = Rs. 7500.

Workspace

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

A.

3:4

B.

3:5

C.

15:23

D.

17:3

Answer with explanation

Answer: Option DExplanation

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

Workspace

A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?

A.

Rs. 300

B.

Rs. 400

C.

Rs. 500

D.

Rs. 600

Answer with explanation

Answer: Option DExplanation

Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6

And also given that, profit share of B is Rs. 1500

=> 5 parts out of 15 parts is Rs. 1500

Now, required difference is 6 – 4 = 2 parts

Required difference = 2/5 (1500) = Rs. 600

Workspace

A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?

A.

1:2

B.

3:4

C.

2:5

D.

3:7

Answer with explanation

Answer: Option BExplanation

They should share the profits in the ratio of their investments.

The ratio of the investments made by A and B =

6000 : 8000 => 3:4

Workspace

A.

16547

B.

17282

C.

14875

D.

17212

Answer with explanation

Answer: Option DExplanation

Ratio of the equivalent capitals of A, B and C for 1 month

= (12000 x 4 + 12000 x 6) :

(26000 x 6 + 2 x 26000) :

32000 x 10

= 120000 : 208000 : 320000 = 120 : 208 : 320

= 15 : 26 : 40 = 81

B’s share = 26/81 x 53622

= Rs.17212

Workspace

Dileep started a business with a capital of Rs. 8000. After six months, Narender joined him with some investment. If at the end of the year each of them gets equal amount as profit, how much did Narender invest in the business?

A.

24000

B.

16000

C.

12000

D.

32000

Answer with explanation

Answer: Option BExplanation

Given Dileep and Narender started a business.

Dileep invested 8000 for 12 months

Let Narender invested ‘p’ for 6 months

At the end of the year, their profit ratio is 1 : 1.

Hence,

8000 x 12 : p x 6

p : 16000

p/16000 = 1/1

=> p = 16,000

Hence, Narender invested amount is **Rs. 16,000.**

Workspace

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?

A.

Rs. 23,500

B.

Rs. 19,780

C.

Rs. 21,700

D.

Rs. 20,050

Answer with explanation

Answer: Option AExplanation

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**

Workspace

A.

Rs. 9500

B.

Rs. 10600

C.

Rs. 7500

D.

Rs. 8900

Answer with explanation

Answer: Option AExplanation

Given initial investments ratio = 2 : 3 : 4

At the end of 6 months, A invested an amount such that his total capital became equal to B’s initial capital investment

i.e, upto 6 months A’s investment is 2 and after 6 months his invstment is 3 = B’s investment

Now, Ratio of investment for one year

=> A : B : C = (2×6 + 3×6) : (3×12) : (4×12)

= 30 : 36 : 48

= 5 : 6 : 8

But given B’s profit = 3000

=> 6 ratio = 3000

For total => 19 ratio = Rs. 9500

Workspace

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