# 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