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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:

A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were :

A) 150 B) 160
C) 170 D) 180
 
Answer & Explanation Answer: B) 160

Explanation:

A : B : C = 7 : 8 : 11.

Hire charges paid by B = Rs. (520 *  8/26) = Rs. 160.

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Q:

If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive ____

A) Rs.700 B) Rs.800
C) Rs.900 D) Rs.1000
 
Answer & Explanation Answer: C) Rs.900

Explanation:

Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6,  and C =k/10 .

 

A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.

 

Hence, C's share (4650 *  6/31) = Rs, 900.

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Q:

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is :

A) 500 B) 1000
C) 1500 D) 2000
 
Answer & Explanation Answer: C) 1500

Explanation:

Let the total profit be Rs. 100.

 

 

 

After paying to charity, A's share  = (95*3/5) = Rs. 57.

 

 

 

If A's share is Rs. 57, total profit = Rs. 100.

 

 

 

If A's share is Rs. 855, total profit  = (100/57*855) = 1500.

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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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Q:

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

A) 10110 B) 10500
C) 12000 D) 13000
 
Answer & Explanation Answer: B) 10500

Explanation:

Simran : Nanda = (50000 * 36) : (80000 * 30) = 3 : 4.

Simran's share = Rs. ( 24500 * 3/7)  =  Rs. 10500.

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Q:

Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of  Rs. 31,570, Reena's share is :

A) 12628 B) 18245
C) 11235 D) 10253
 
Answer & Explanation Answer: A) 12628

Explanation:

Ratio of their shares = (35000 * 8) : (42000 * 10) = 2 : 3.

Reena's share Rs. 31570 * (2 / 5) = Rs. 12628.

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Q:

A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used ?

A) 3 months B) 6 months
C) 10 months D) 12 months
 
Answer & Explanation Answer: C) 10 months

Explanation:

Let the total profit be Rs. z. Then,

B's share = Rs. 2z/3,  A's share = Rs. ( z - 2z/3 ) = Rs. z/3.

A : B = z/3 : 2z/3 = 1:2

Let the total capital be Rs, X and suppose B's money was used for x months. Then.

(1(x) / 4 * 15) / (3x) / 4 * y) = 1/2 <=> y = (15 * 2 / 3) = 10 .

 Thus, B's money was used for 10 months.

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