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Quiz Description :
Name: Partnership question answer test – 2
Subject: Aptitude
Topic: Partnership
Questions: 10 Objective type
Time Allowed: 15 minutes
Important for: IBPS Clerk, IBPS PO, IBPS RRB, SBI Clerk, SBI PO, RBI Assistant, SSC CGL, CHSL, Railway RRB, Police, Engineering Aptitude Test, Research Aptitude test etc.
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 Question 1 of 10
1. Question
1 pointsA and B enter into a speculation. A puts in Rs. 50 and B puts in Rs. 45. At the end of 4 months A withdraws half his capital and at the end of 6 months B withdraws half of his capital. C then enters with a capital of Rs. 70. At the end of 12 months, in what ratio will the profit be divided?
CorrectExplanation: A’s share : B’s share : C’s share = 50 × 4 + 50/2× 8 : 45 × 6 + 45/2× 6 : 70 × 6
= 400 : 405 : 420 = 80 : 81 : 84
Therefore, the profit will be divided in the ratio of 80 : 81 : 84.
Now you must have understood both simple partnership and compound partnership. The formula for compound partnership can also be written as;(A^’ s capital ×A^’ sTime in partnership)/(B^’ scapital ×B^’ sTime in partnership)=(A^’ sProfit)/(B^’ sProfit)
IncorrectExplanation: A’s share : B’s share : C’s share = 50 × 4 + 50/2× 8 : 45 × 6 + 45/2× 6 : 70 × 6
= 400 : 405 : 420 = 80 : 81 : 84
Therefore, the profit will be divided in the ratio of 80 : 81 : 84.
Now you must have understood both simple partnership and compound partnership. The formula for compound partnership can also be written as;(A^’ s capital ×A^’ sTime in partnership)/(B^’ scapital ×B^’ sTime in partnership)=(A^’ sProfit)/(B^’ sProfit)
UnattemptedExplanation: A’s share : B’s share : C’s share = 50 × 4 + 50/2× 8 : 45 × 6 + 45/2× 6 : 70 × 6
= 400 : 405 : 420 = 80 : 81 : 84
Therefore, the profit will be divided in the ratio of 80 : 81 : 84.
Now you must have understood both simple partnership and compound partnership. The formula for compound partnership can also be written as;(A^’ s capital ×A^’ sTime in partnership)/(B^’ scapital ×B^’ sTime in partnership)=(A^’ sProfit)/(B^’ sProfit)
 Question 2 of 10
2. Question
1 pointsA began a business with Rs. 450 and was joined afterwards by B with Rs. 300. When did B join if the profits at the end of the year were divided in the ratio 2 : 1?
CorrectSuppose B joined the business for N months.
Then using the formula(A^’ s capital ×A^’ sTime in partnership)/(B^’ scapital ×B^’ sTime in partnership)=(A^’ sProfit)/(B^’ sProfit)
i.e.;
(450 ×12)/(300 ×N)=1/2
or, 300 × 2 N = 450 × 12
∴ N = (450 ×12)/(2 ×300) = 9 monthsTherefore, B joined after (12 – 9) = 3 months.
IncorrectSuppose B joined the business for N months.
Then using the formula(A^’ s capital ×A^’ sTime in partnership)/(B^’ scapital ×B^’ sTime in partnership)=(A^’ sProfit)/(B^’ sProfit)
i.e.;
(450 ×12)/(300 ×N)=1/2
or, 300 × 2 N = 450 × 12
∴ N = (450 ×12)/(2 ×300) = 9 monthsTherefore, B joined after (12 – 9) = 3 months.
UnattemptedSuppose B joined the business for N months.
Then using the formula(A^’ s capital ×A^’ sTime in partnership)/(B^’ scapital ×B^’ sTime in partnership)=(A^’ sProfit)/(B^’ sProfit)
i.e.;
(450 ×12)/(300 ×N)=1/2
or, 300 × 2 N = 450 × 12
∴ N = (450 ×12)/(2 ×300) = 9 monthsTherefore, B joined after (12 – 9) = 3 months.
 Question 3 of 10
3. Question
1 pointsA and B rent a pasture for 10 months. A puts in 100 cows for 8 months, How many can B put in for the remaining 2 months, if he pays half as much again as A?
CorrectSuppose B puts in N cows. The ratio of A’s and B’s rents = 1 : 1 + 1/2 = 1 : 3/2 = 2 : 3
Then, (100 ×8)/(N ×2) = 2/3
or, N = (100 × 8 × 3 )/(2 × 2) = 60 cows.IncorrectSuppose B puts in N cows. The ratio of A’s and B’s rents = 1 : 1 + 1/2 = 1 : 3/2 = 2 : 3
Then, (100 ×8)/(N ×2) = 2/3
or, N = (100 × 8 × 3 )/(2 × 2) = 60 cows.UnattemptedSuppose B puts in N cows. The ratio of A’s and B’s rents = 1 : 1 + 1/2 = 1 : 3/2 = 2 : 3
Then, (100 ×8)/(N ×2) = 2/3
or, N = (100 × 8 × 3 )/(2 × 2) = 60 cows.  Question 4 of 10
4. Question
1 pointsA, B and C are partners. A receives 2/5 of the profit and B and C share the remaining profit equally. A’s income is increased by Rs. 220 when the profit rises from 8% to 10%. Find the capitals invested by A, B and C.
CorrectFor A’s share: (10% – 8%) = Rs. 220
∴ 100 % = 220/2× 100 = Rs. 11000
∴A’s capital = Rs. 11000
For B’s and C’s share: 2/5 = 11000
∴3/5 = 11000/2×3 = Rs. 16500
∴ B’s and C’s capitals are Rs. 8250 each.IncorrectFor A’s share: (10% – 8%) = Rs. 220
∴ 100 % = 220/2× 100 = Rs. 11000
∴A’s capital = Rs. 11000
For B’s and C’s share: 2/5 = 11000
∴3/5 = 11000/2×3 = Rs. 16500
∴ B’s and C’s capitals are Rs. 8250 each.UnattemptedFor A’s share: (10% – 8%) = Rs. 220
∴ 100 % = 220/2× 100 = Rs. 11000
∴A’s capital = Rs. 11000
For B’s and C’s share: 2/5 = 11000
∴3/5 = 11000/2×3 = Rs. 16500
∴ B’s and C’s capitals are Rs. 8250 each.  Question 5 of 10
5. Question
1 pointsTwo partners invest Rs. 125,000 and Rs. 85,000 respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one partner gets Rs. 300 more than the other, find the total profit made in the business.
CorrectThe difference counts only due to the 40% of the profit which was distributed according to their investments.
Let the total profit be Rs. A.
Then 40% of A is distributed in the ratio = 125,000 : 85,000 = 25 : 17
Therefore, the share of the first partner = 40% of A (25/(25+17 )) = 40% of A (25/42) = ((40 A)/100)×(25/42)= ((5 A)/21)
and the share of the second partner = 40% of A (17/42) = ((17 A)/105)
Now by applying question requirements, we get;
the difference in share = (5 A)/21 – (17 A)/105 = 300
or, (A (25 – 17))/105 = 300
∴ A = (300 × 105)/8 = Rs. 3937.50Method 2:
The ratio of profit = 125,000 : 85,000 = 25 : 17
∴ Total profit = 300 (100/40)×((25 + 17)/(25 – 17)) = Rs. 3937.50IncorrectThe difference counts only due to the 40% of the profit which was distributed according to their investments.
Let the total profit be Rs. A.
Then 40% of A is distributed in the ratio = 125,000 : 85,000 = 25 : 17
Therefore, the share of the first partner = 40% of A (25/(25+17 )) = 40% of A (25/42) = ((40 A)/100)×(25/42)= ((5 A)/21)
and the share of the second partner = 40% of A (17/42) = ((17 A)/105)
Now by applying question requirements, we get;
the difference in share = (5 A)/21 – (17 A)/105 = 300
or, (A (25 – 17))/105 = 300
∴ A = (300 × 105)/8 = Rs. 3937.50Method 2:
The ratio of profit = 125,000 : 85,000 = 25 : 17
∴ Total profit = 300 (100/40)×((25 + 17)/(25 – 17)) = Rs. 3937.50UnattemptedThe difference counts only due to the 40% of the profit which was distributed according to their investments.
Let the total profit be Rs. A.
Then 40% of A is distributed in the ratio = 125,000 : 85,000 = 25 : 17
Therefore, the share of the first partner = 40% of A (25/(25+17 )) = 40% of A (25/42) = ((40 A)/100)×(25/42)= ((5 A)/21)
and the share of the second partner = 40% of A (17/42) = ((17 A)/105)
Now by applying question requirements, we get;
the difference in share = (5 A)/21 – (17 A)/105 = 300
or, (A (25 – 17))/105 = 300
∴ A = (300 × 105)/8 = Rs. 3937.50Method 2:
The ratio of profit = 125,000 : 85,000 = 25 : 17
∴ Total profit = 300 (100/40)×((25 + 17)/(25 – 17)) = Rs. 3937.50  Question 6 of 10
6. Question
1 pointsA and B entered into a partnership, investing Rs. 16000 and Rs. 12000 respectively. After 3 months, ‘A’ withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 months more, C joins the business with a capital of Rs. 21000. After a year, they obtained a profit of Rs. 26400. By what value does the share of B exceed the profit of C?
CorrectThis question is restricted as;
A invested Rs. 16000 for 3 months and Rs. (16000 – 5000) for 9 months.
D invested Rs. 12000 for 3 months and Rs. (12000 + 5000) for 9 months.
C invested Rs. 21000 for 6 months.
Now, A’s share : B’s share : C’s share = (16 × 3 + 11 × 9) : (12 × 3 + 17 × 9) : (21 × 6)
= 147 : 189 : 126 = 7 : 9 : 6
Therefore B’s share exceeds that of C by = (26400/(7+9+6))×(96) = ((26400 ×3))/22 = Rs. 3600IncorrectThis question is restricted as;
A invested Rs. 16000 for 3 months and Rs. (16000 – 5000) for 9 months.
D invested Rs. 12000 for 3 months and Rs. (12000 + 5000) for 9 months.
C invested Rs. 21000 for 6 months.
Now, A’s share : B’s share : C’s share = (16 × 3 + 11 × 9) : (12 × 3 + 17 × 9) : (21 × 6)
= 147 : 189 : 126 = 7 : 9 : 6
Therefore B’s share exceeds that of C by = (26400/(7+9+6))×(96) = ((26400 ×3))/22 = Rs. 3600UnattemptedThis question is restricted as;
A invested Rs. 16000 for 3 months and Rs. (16000 – 5000) for 9 months.
D invested Rs. 12000 for 3 months and Rs. (12000 + 5000) for 9 months.
C invested Rs. 21000 for 6 months.
Now, A’s share : B’s share : C’s share = (16 × 3 + 11 × 9) : (12 × 3 + 17 × 9) : (21 × 6)
= 147 : 189 : 126 = 7 : 9 : 6
Therefore B’s share exceeds that of C by = (26400/(7+9+6))×(96) = ((26400 ×3))/22 = Rs. 3600  Question 7 of 10
7. Question
1 pointsA, B and C are partners in a business. A whose money has been used for 4 months, claims 1/8 of the profit. B whose money has been used for 6 months, claims 1/3 of the profit. C has invested Rs. 1560 for 8 months. How much money did A and B contributed?
CorrectRatio of their share in profit = 1/8 : 1/3 : {1 (1/8+ 1/3) } = 1/8 : 1/3 : 13/24 = 3 : 8 : 13
Now for A and C;
A × 4 : 1560 × 8 = 3 : 13
∴ A = 3/13×((1560 × 8))/4 = Rs. 720
Now for B and C;
B×6 : 1560 × 8 = 8 : 13
∴B = 8/13×((1560 × 8))/6 = Rs. 1280IncorrectRatio of their share in profit = 1/8 : 1/3 : {1 (1/8+ 1/3) } = 1/8 : 1/3 : 13/24 = 3 : 8 : 13
Now for A and C;
A × 4 : 1560 × 8 = 3 : 13
∴ A = 3/13×((1560 × 8))/4 = Rs. 720
Now for B and C;
B×6 : 1560 × 8 = 8 : 13
∴B = 8/13×((1560 × 8))/6 = Rs. 1280UnattemptedRatio of their share in profit = 1/8 : 1/3 : {1 (1/8+ 1/3) } = 1/8 : 1/3 : 13/24 = 3 : 8 : 13
Now for A and C;
A × 4 : 1560 × 8 = 3 : 13
∴ A = 3/13×((1560 × 8))/4 = Rs. 720
Now for B and C;
B×6 : 1560 × 8 = 8 : 13
∴B = 8/13×((1560 × 8))/6 = Rs. 1280  Question 8 of 10
8. Question
1 pointsTwo partners in invested Rs. 50000 and Rs 70000 respectively in a business and agreed that 70% of the profit should be divided equally between them and the remaining profit in the ratio of investment. If one partner gets Rs. 90 more than the other, find the total profit made in the business.
CorrectThe difference comes only due to the 30% of the profit which was distributed in the ratio of their investments.
Suppose that total profit is Rs. P.
Then 30% of P is distributed in the ratio 50000 : 70000 = 5 : 7
Therefore, the share of the first partner = 30% of (5/(5+7)) P = 30% of (5 P)/12 = P/8
and the share of the second partner = 30% of (7/(5+7)) P = 30% of (7 P)/12 = (7 P)/40
Now, the difference in shares = (7 P)/40 – P/8 = Rs. 90
or, (((7 P5 P))/40) = 90
∴ P = (((90 × 40))/2) = Rs. 1800IncorrectThe difference comes only due to the 30% of the profit which was distributed in the ratio of their investments.
Suppose that total profit is Rs. P.
Then 30% of P is distributed in the ratio 50000 : 70000 = 5 : 7
Therefore, the share of the first partner = 30% of (5/(5+7)) P = 30% of (5 P)/12 = P/8
and the share of the second partner = 30% of (7/(5+7)) P = 30% of (7 P)/12 = (7 P)/40
Now, the difference in shares = (7 P)/40 – P/8 = Rs. 90
or, (((7 P5 P))/40) = 90
∴ P = (((90 × 40))/2) = Rs. 1800UnattemptedThe difference comes only due to the 30% of the profit which was distributed in the ratio of their investments.
Suppose that total profit is Rs. P.
Then 30% of P is distributed in the ratio 50000 : 70000 = 5 : 7
Therefore, the share of the first partner = 30% of (5/(5+7)) P = 30% of (5 P)/12 = P/8
and the share of the second partner = 30% of (7/(5+7)) P = 30% of (7 P)/12 = (7 P)/40
Now, the difference in shares = (7 P)/40 – P/8 = Rs. 90
or, (((7 P5 P))/40) = 90
∴ P = (((90 × 40))/2) = Rs. 1800  Question 9 of 10
9. Question
1 pointsA, B and C invested capitals in the ratio 2 : 3 : 4. At the end of the business term, they received the profit in the ratio 3 : 6 : 10. Find the ratio of the periods for which they contributed their capitals.
CorrectIf the investment are in the ratio x : y : z and the profits in the ratio P : Q : R then the ratio of periods = (P/x) : (Q/y) : (R/z)
Therefore, the required ratio = (3/2) : (6/3) : (10/4)
Multiply each term by the LCM of 2, 3 and 4, i.e., 12.
(3/2)×12 :(6/3)× 12 : (10/4)× 12 = 18 : 24 : 30 = 3 : 4 : 5IncorrectIf the investment are in the ratio x : y : z and the profits in the ratio P : Q : R then the ratio of periods = (P/x) : (Q/y) : (R/z)
Therefore, the required ratio = (3/2) : (6/3) : (10/4)
Multiply each term by the LCM of 2, 3 and 4, i.e., 12.
(3/2)×12 :(6/3)× 12 : (10/4)× 12 = 18 : 24 : 30 = 3 : 4 : 5UnattemptedIf the investment are in the ratio x : y : z and the profits in the ratio P : Q : R then the ratio of periods = (P/x) : (Q/y) : (R/z)
Therefore, the required ratio = (3/2) : (6/3) : (10/4)
Multiply each term by the LCM of 2, 3 and 4, i.e., 12.
(3/2)×12 :(6/3)× 12 : (10/4)× 12 = 18 : 24 : 30 = 3 : 4 : 5  Question 10 of 10
10. Question
1 pointsA and B invested in the ratio 3 : 2 in a business. If 5% of the total profit goes to charity and A’s share is Rs. 855, find the total profit.
CorrectSuppose the total profit is Rs. 100.
Then Rs. 5 goes to charity.
Now, Rs. 95 is divided in the ratio 3 : 2.
∴ A’s share = 95/((3+2) )× 3 = Rs. 57
But we see that A’s actual share is Rs. 855.
∴ Actual total profit = 855 ×(100/57) = Rs. 1500Method 2:
Total profit = 855 ×(100/((1005) ))×(((3 + 2))/2) = 855 ×(100/95)×(5/3) = Rs. 1500
IncorrectSuppose the total profit is Rs. 100.
Then Rs. 5 goes to charity.
Now, Rs. 95 is divided in the ratio 3 : 2.
∴ A’s share = 95/((3+2) )× 3 = Rs. 57
But we see that A’s actual share is Rs. 855.
∴ Actual total profit = 855 ×(100/57) = Rs. 1500Method 2:
Total profit = 855 ×(100/((1005) ))×(((3 + 2))/2) = 855 ×(100/95)×(5/3) = Rs. 1500
UnattemptedSuppose the total profit is Rs. 100.
Then Rs. 5 goes to charity.
Now, Rs. 95 is divided in the ratio 3 : 2.
∴ A’s share = 95/((3+2) )× 3 = Rs. 57
But we see that A’s actual share is Rs. 855.
∴ Actual total profit = 855 ×(100/57) = Rs. 1500Method 2:
Total profit = 855 ×(100/((1005) ))×(((3 + 2))/2) = 855 ×(100/95)×(5/3) = Rs. 1500
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