# Partnership- Aptitude Questions and Answers

 Raju started a business by investing Rs.36000. After 4 months Kalu joined him with some investment. At the end of the year, the total profit was divided between them in the ratio of 9:7. Find the capital that was invested by Kalu ? A) 42000 B) 36000 C) 56000 D) 58000 Correct Answer :42000 Explanation :Let Kalu invested X Amount for 8 months then Ratio of Raju and Kalu Profit <=> 36000*12 : X*8 = 9 : 7 36000*12*7 / 9*8 = X Hence Kalu investment X=>42000 A, B and C are partners in a business. A puts in Rs. 350, B Rs. 450 and C Rs. 550. What is the share of C in a profit of Rs. 405 at the end of the year? A) Rs. 138 B) Rs. 285 C) Rs. 340 D) Rs. 165 Correct Answer :Rs. 165 Explanation :A, B and C's investment 350 , 450 and 550 Profit Ratio A : B : C =350 : 450 : 550 => 7 : 9 : 11 Total Profit = 27 Parts =405 C's Profit = 405* 11 / 27 => 165 Three partners invest Rs. 2000, Rs. 2500 and Rs. 1000 in a business. How much will the last partner get out of a profit of Rs. 880 ? A) Rs.320 B) Rs.350 C) Rs.400 D) Rs. 160 Correct Answer :Rs. 160 Explanation :Let the Partners are A, B and C. Then, Profit Ratio A : B : C =2000 : 2500 : 1000 => 4 : 5 : 2 Total Profit = 11 Parts =880 C's / last partner share = 880* 2 / 11 =160 Rs. 1900 is divide between A, B and C so that A's share is 1*(1/2) times B's and B's is 1*(1/2) times C’s. What C’s share? A) Rs.800 B) Rs.420 C) Rs.400 D) Rs.900 Correct Answer :Rs.400 Explanation :Let C = x, Then B = (3/2)* x and A = (3/2)*(3/2)* x = (9/4) * x A : B : C = (9/4) * x : (3/2)* x : x = 9 : 6 : 4 So, C's capital = Rs. (1900×4/19) = Rs. 400 A and B can do a work in 45 and 40 days respectively. They began the work together, but A left after some time and B finishes the remaining work in 23 days. After how many days did A leave? A) 8 days B) 7 days C) 6 days D) 9 days Correct Answer :9 days Explanation :(A+B)’s 1 day’s work = 1/45+1/40=17/360. Work done by B in 23 days = (23 x 1)/40=23/40. Remaining work = 1−23/40=17/40. Now,17/360 work was done by (A+B) in 1 day. Now,a work was done by (A+B) in 360/17 days. Remaining work, 17/40 work was done by (A+B) in (360/17)×(17/40)=9 days. Hence, A left after 9 days. Three partners A, B and C invest Rs. 26000, Rs. 34000 and Rs. 10000 respectively in a business. Out of a profit of Rs. 3500. B's share is ? A) Rs. 1300B) Rs. 1700C) Rs. 500D) Rs. 1500Correct Answer :Rs. 1700 Explanation :If the partners 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 Ratio of shares of A, B, C = 26000 : 34000 : 10000 = 13 : 17 : 5 Hence, B's share = Rs. 3500 x (17/35) = Rs. 1700 A invests Rs. 30000 for one year in a shop. How much his partner B should invest in order that the profit after one year must be in the ratio 2 : 3 ? A) Rs. 20000B) Rs. 40000C) Rs. 45000D) Rs. 18000Correct Answer :Rs. 45000 Explanation :If the partners 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 30000/X = 2/3 ⇒ 2X = 90000 X = 45000 A and B start a business by investing 8000 and 72000, respectively. Find the ratio of their profits at the end of year. A) 2 : 9B) 5 : 9C) 7 : 9D) 1 : 9Correct Answer :1 : 9 Explanation :if the partners 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 = 8000 : 72000 = 1 : 9 A starts a business with 300000 and B join him after 3 months with 1200000. Find the ratio of their profits at the end of the year . A) 2 : 5B) 3 : 5C) 5 : 1D) 1 : 3Correct Answer :1 : 3 Explanation :if the partners 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 A's share : B's share = (300000 x 12) : (1200000 x 9) = 36 : 108 = 1 : 3 A, B and C together start a business in partnership. The ratio of their capitals is 3 : 4 : 7. If their annual profit be 21000, what will be C's share in this profit ? A) 12500B) 10500C) 15000D) 10000Correct Answer :10500 Explanation :if the partners 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 Ratio of profits of A, B and C = 3 : 4 : 7 C's share = [7/(3 + 4 + 7)] x 21000 = 7 x 1500 = 10500 A, B and C start a business with 2000. A's share is half the sum of the shares of B and C. The share of B is 2/3 of the sum of the shares of A and C. Then, the share of C is? A) 3200 B) 4800 C) 4000 D) 3000 Correct Answer :3200 Explanation :A + B + C = 12000 ...(i) A =1 /2 (B + C) B + C = 2A By substituting the value of B + C = 2A in Eq. (i), then 3A = 12000 A = 4000 Also, B =2/3 (A +C) A + C =3B/2 By substituting the value of A + C =3B/2 in Eq. (i), then 3B/2 + B = 12000 5B/2= 12000 B =4800 Share of C = 12000 -(4000 +4800) => 12000- 8800 => 3200 A started a business with an investment of 84000. After x months B joins A with a capital of 42000. If the ratio of profit at the end of the year is 3 : 1, then x is? A) 6 months B) 2 months C) 4 months D) 3 months Correct Answer :4 months Explanation :Ratio of profits of A and B = (84000 * 12) : 42000 * (12- x) (84000 * 12) : 42000 * (12- x) =3 : 1 42000 * (12- x) *3 = 84000* 12 (12 - x) = (84000* 12) / (42000* 3) x = 4 Hence, B joined after 4 months A, B and C started a business with 45000. If their profits are 2400,4000 and 5600. Find the investment of A.? A) 9000 B) 15000 C) 21000 D) 8000 Correct Answer :9000 Explanation :The ratio of the profit of three persons= 2400 : 4000 : 56000 = 3 : 5 : 7 A's investment =(3/15) * 45000 = 9000 Five people are planning to share equally the cost of a rental apartment.If one person withdraws from the agreement and others share equally the entire rental of the apartment, then the share of each of the remaining persons is increased by? A) 4% B) 5% C) 6% D) 7% Correct Answer :5% Explanation :5 persons share equally,so share of one person = 1/5 New share, 4 persons share equally,so share of one person = 1/4 Increase in the share= 1/5 - 1/4 = 1/20 Required % = (1/20)*100 = 5% A, B and C started a business with their investment 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 Correct Answer :5 : 6 : 10 Explanation :Let, money invested by A, B and C are respectively x, 3x and 5x for the4 months. After 4 months invested by A, B and C are respectively 2x, 3x/2 and 5x/2 for next 8 months. Required ratio of profit, A:B:C = 4*x+8*(2x) : 4*3x+8*(3x/2) : 4*5x+8*(5x/2) = 20x : 24x : 40x = 5 : 6 : 10