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- Question
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 ?
Options- A. 144
- B. 169
- C. 225
- D. 339
- Correct Answer
- 144
ExplanationRatio 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.
- 1. 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 :
Options- A. 1 : 2 : 3
- B. 3 : 4 : 15
- C. 3 : 5 : 10
- D. 5 : 6 : 10 Discuss
- 2. 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 :
Options- A. 500
- B. 1000
- C. 1500
- D. 2000 Discuss
- 3. Select the odd word/letters/number/number pair from the given alternatives.
Options- A. 961
- B. 443
- C. 361
- D. 289 Discuss
- 4. Select the odd word/letters/number/number pair from the given alternatives.
Options- A. 8715
- B. 5712
- C. 9817
- D. 6812 Discuss
- 5. Select the odd word/letters/number/number pair from the given alternatives.
Options- A. FHG
- B. NOP
- C. TVU
- D. WYX Discuss
- 6. 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 ?
Options- A. 3 months
- B. 6 months
- C. 10 months
- D. 12 months Discuss
- 7. 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 ?
Options- A. 4 months
- B. 5 months
- C. 6 months
- D. 8 months Discuss
- 8. If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive ____
Options- A. Rs.700
- B. Rs.800
- C. Rs.900
- D. Rs.1000 Discuss
- 9. A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Options- A. Rs. 45
- B. Rs. 50
- C. Rs. 55
- D. Rs. 60 Discuss
- 10. Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is :
Options- A. 8400
- B. 8200
- C. 8100
- D. 8000 Discuss
Partnership problems
Search Results
Correct Answer: 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
Correct Answer: 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.
Correct Answer: 443
Correct Answer: 6812
Correct Answer: NOP
Correct Answer: 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.
Correct Answer: 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.
Correct Answer: 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.
Correct Answer: Rs. 45
Explanation:
A:B:C = (10×7):(12×5):(15×3)
= 70 :60 :45
= 14 :12 :9
C's rent = Rs.(175×9/35)
=Rs. 45.
Correct Answer: 8400
Explanation:
Ratio of their shares = 22500 : 35000 = 9 : 14.
Deepak's share = Rs. (13800 * 14/23) = Rs. 8400.
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