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Q:

A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?

A) 144 B) 169
C) 225 D) 339
 
Answer & Explanation Answer: A) 144

Explanation:

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

Let their initial investments be 6x, 2x and 3x respectively.

A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.

B's share =  Rs. (378 * 8/21) = Rs. 144.

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Q:

A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?

A) 144 B) 169
C) 225 D) 339
 
Answer & Explanation Answer: A) 144

Explanation:

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

 

Let their initial investments be 6x, 2x and 3x respectively.

 

A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.

 

B's share = Rs. (378*8/21)  = Rs. 144.

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Q:

A, B, C started a business with their investments in the ratio 1:3 :5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is :

A) 1 : 2 : 3 B) 3 : 4 : 15
C) 3 : 5 : 10 D) 5 : 6 : 10
 
Answer & Explanation Answer: D) 5 : 6 : 10

Explanation:

Let their initial investments be x, 3x and 5x respectively. Then,

 

A:B:C = (x*4+2x*8) : (3x*4+(3x/2)*8) : (5x*4+(5x/2)*8)

 

20x : 24x : 40x = 5 : 6 : 10          

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Q:

A, B and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C's capital is :

A) 4000 B) 5000
C) 6000 D) 7000
 
Answer & Explanation Answer: A) 4000

Explanation:

A : B : C = 500 : 300 : 200 = 5 : 3 : 2.

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

Then, 5x = 10000  

=>  x = 2000.

C's capital = 2x = Rs. 4000.

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Q:

A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?

A) 4 months B) 5 months
C) 6 months D) 8 months
 
Answer & Explanation Answer: D) 8 months

Explanation:

Suppose B joined for x months . Then,  ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.

So, B joined for 8 months.

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Q:

In India ,Hindu Rate of growth is associated with which of the following

A) Birth Rate B) Population
C) Per Capita Income D) National Income
 
Answer & Explanation Answer: D) National Income

Explanation:
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Q:

A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?

A) 2 : 3 : 5 B) 3 : 4 : 7
C) 5 : 6 : 4 D) 1 : 3 : 5
 
Answer & Explanation Answer: B) 3 : 4 : 7

Explanation:

A : B : C  = (40000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)

= 144 : 192 : 336

= 3 : 4 : 7.

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Q:

Aman started a business investing Rs. 70,000. Rakhi  joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ?

A) 11 : 13 : 15 B) 11 : 13 : 17
C) 12 : 17 : 18 D) 12 : 15 :16
 
Answer & Explanation Answer: D) 12 : 15 :16

Explanation:

Aman : Rakhi : Sagar = (70000 x 36) : (105000 x 30) : (140000 x 24) = 12 : 15 : 16.

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