FACTS  AND  FORMULAE  FOR  PARTNERSHIP  PROBLEMS

 

 

Partnership: When two or more than two persons run a business jointly, they are called partners and the deal is known as partnership.

 

Ratio of Division of Gains:

(i) When investments of all the partners are for the same time, the gain or loss is distributed a among the partners in the ratio of their investments. Suppose A and B invest Rs. x and Rs. y respectively for a year in a business, then at the end of the year (A’s share of profit) : (B's share of profit) = x : y.

 

(ii) When investments are for different time periods, then equivalent capitals are calculated for a unit of time by taking (capital x number of units of time). Now, gain or loss is divided in the ratio of these capitals. Suppose A invests Rs. x for p months and B invests Rs. y for q months, then (A’s share of profit) : (B's share of profit) = xp : yq.

 

Working and Sleeping Partners: A partner who manages the business is known as a working partner and the one who simply invests the money is a sleeping partner.

Q:

A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7:10:13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?

A) 9:13:17 B) 18:26:35
C) 36:52:67 D) None of these
 
Answer & Explanation Answer: C) 36:52:67

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1 1814
Q:

The central Government granted a certain sum towards flood relief to 3 states A, B and C in the ratio 2 : 3 : 4. If C gets Rs. 400 Crores more than A, what is the share of B?

A) Rs. 400 crore B) Rs. 200 crore
C) Rs. 600 crore D) Rs. 300 crore
 
Answer & Explanation Answer: C) Rs. 600 crore

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4 1769
Q:

A's income is Rs 140 more than B's income and C's income is Rs 80 more than D's. If the ratio of A's and C's income is 2:3 and the ratio of B's and D's income is 1:2, then the incomes of A, B, C and D are respectively

A) Rs 260, Rs 120, Rs 320 and Rs 240 B) Rs 300, Rs 160, Rs 600 and Rs 520
C) Rs 400, Rs 260, Rs 600 and Rs 520 D) Rs 320, Rs 180, Rs 480 and Rs 360
 
Answer & Explanation Answer: C) Rs 400, Rs 260, Rs 600 and Rs 520

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Q:

Kishlay travelled equal distances at speeds of 10 kmph, 30kmph and 2 kmph and took a total time of 38 min. Find the total distance in kms.

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

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2 1674
Q:

Rithika had Rs 8000. She invested some of it in savings scheme P and the rest of the money in savings scheme Q. She invested for 3 years in savings scheme P and for 2 years in savings scheme Q. savings scheme P offers SI at a rate of 20% pa while savings scheme Q compounded annually at the rate of 30% pa. The interest received from savings scheme P is 930 more than the interest received from savings scheme Q. If Rs 1500 is debited from the invested amount of savings scheme P then find the difference between the amount invested by Rithika in savings scheme P & savings scheme Q.

A) Rs 200 B) Rs 300
C) Rs 400 D) Rs 500
 
Answer & Explanation Answer: D) Rs 500

Explanation:
Amount invested in savings scheme P= Rs X

Amount invested in savings scheme Q= Rs (8000-X)

Compounding 30 % for 2 years , rate

30+30+ (30*30)/100= 69 %

60 % of X-69 % of (8000-X)=930

X= 5000

In savings savings scheme Q = 8000-5000=3000

5000 - 1500 = 3500

Difference =3500-3000=Rs 500

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0 1673
Q:

Two businessmen A and B invest in a business in the ratio 5 : 8. They decided to reinvest 30% of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If A's share of the profit was Rs 87,500 then how much profit (in Rs) did the business make?

A) 227000 B) 250000
C) 375000 D) 325000
 
Answer & Explanation Answer: D) 325000

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0 1630
Q:

Mohit and Anshu invested some money in a business in the ratio 8 : 15 respectively. After 9 months Mohit withdraws his capital. If they receive profits in the ratio 4 : 5, then for how many months did Anshu invest in the business?

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

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Q:

A sum of Rs 2489 is divided among A, B and C such that if Rs 12, Rs 12 and Rs 5 be diminish from the shares of A, B and C respectively, then theirshares will be in the ratio of 5 : 3 : 4. What is the new share (in Rs) of C?

A) 750 B) 1060
C) 1475 D) 820
 
Answer & Explanation Answer: D) 820

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