Quantitative Aptitude: Partnership Set 18

1. Akash, Brijesh and Ceom enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, Akash withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is Brijesh’s share ?
   Rs 400
   Rs 450
   Rs 500
   Rs 550
   None of these
   Option A
   Ratio of investments =1/2 : 1/3 : 1/4 , LCM of 2, 3, 4 = 12 ,
   multiply ratios with 12 we get 6 : 4 : 3 , so,initial investment be 6x, 2x and 3x.
   =(6x X 2 + 3x X 10 ) : (4x X 12) :(3x X 12) = 7:8:6
   Brijesh’s share= (8/21) x 1050 = Rs 400
   
    



2. P started a business with Rs. 21,000 and is joined afterwards by Q with Rs. 36,000. After how many months did Q join if the profits at the end of the year are divided equally?
   4 months
   5 months
   3 months
   7 months
   None of these
   Option B
   Let B joined after x months
   Then, 21000 x 12 = 36000 x (12 – x)36 = 180x = 5
   Hence, B joined after 5 months
   
    



3. 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 ?
   9 months
   11 months
   10 months
   8 months
   None of these
   Option C
   Let total profit is x.
   Then B’s share in profit= (2/3)x
   so A’s share in profit= x- (2/3)x =x/3
   so,we get ratios of profit of A :B :: 1:2
   Let total capital invested be Rs P and A’s money was used for 15 months while B’s money was used for b months .
   then, (1/4)P X 15 divide by (3/4)P x b = 1/2 [ Capital x time =profit]
   so,we get b=10
   B’s money was used for 10 months
   
    



4. In a business Priyanka and Riya invested amounts in the ratio 2 :1, whereas the ratio between amounts invested by Priyanka and Quetzal was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Quetzal receive ?
   Rs 666
   Rs 652
   Rs 688
   Rs 672
   Rs 676
   Option C
   Priyanka : Quetzal = 3 : 2 , Priyanka : Riya = 2 : 1 [given]
   Quetzal : Priyanka = 2 : 3 [reverse], Quetzal : Priyanka = 4 : 6 [multiply by 2]
   Now, Priyanka : Riya = 2 : 1
   Priyanka : Riya = 6 : 3 [multiply by 3]
   Priyanka : Quetzal =6 : 4 [after x3]
   , So Quetzal : Priyanka : Riya = 4 : 6 : 3
   or, Priyanka : Quetzal: Riya = 6 : 4 : 3
   Quetzal’s share= 4/13 x 2236=Rs.688
   
    



5. A and B started a partnership business investing some amount in the ratio of 3:5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A,B and C?
   2:5:7
   8:11:15
   6:10:5
   Cannot be determined
   None of these
   Option C
   Let the initial investments of A and B be 3a amd 5a.
   A : B : C = (3a x 12) : (5a x 12) : (5a x 6) = 36 : 60 : 30 = 6 : 10 : 5.
   
    



6. Akash, Brijesh and Caryl jointly start a business venture with a agreement that Akash would invest Rs. 13,000 for 6 months, Brijesh, Rs. 16,800 for 5 months and Caryl, Rs. 20,000 for 3 months. Akash wants to be the working member for which he was to receive 5% of the profits. The profit earned was Rs. 14800 Calculate the share of Brijesh in the profit?
   Rs 5320
   Rs 4840
   Rs 4500
   Rs 4750
   None of these
   Option A
   Akash receives = 5% of Rs. 14800 = Rs. 740.
   Balance = Rs. (14800 – 740) = Rs. 14060
   Ratio of their investments = (13000 x 6) : (16,800 x 5) : (20000 x 3) = 78000 : 84000 : 60000 = 13 : 14 : 10
   Brijesh’s share = Rs.14060 x 14/37 = Rs 5320
   
    



7. A,B and C invested Rs. 16000, Rs. 8000 and Rs. 16000 respectively to open a business. A left after 6 months. If after 8 months, there was a gain of Rs. 8010, then what will be the share of B?
   Rs 1500
   Rs 1450
   Rs 1780
   Data inadquate
   None of these
   Option C
   
   
    



8. P,Q and R enter into a partnership with P's contribution Rs. 20,000. If out of a total profit of Rs. 2000, P gets Rs.100 and Q gets Rs. 600, R gets Rs 400 then R’s capital is which of the following?
   Rs 4000
   Rs 5500
   Rs 7500
   Rs 8000
   None of these
   Option D
   P:Q:R = 1000 : 600 : 400 = 5 : 3 : 2.
   Let their capitals be 5x, 3x, 2x respectively.
   Then, 5x = 20000 x =Rs 4000.
   R’s capital = 2x = Rs. 8000.
   
    



9. R and S invested in a partnership business. R invests Rs. 70,000 for 8 months and S invests Rs. 84,000 for 10 months. Out of a profit of Rs. 63140, R’s share is which of the following?
   Rs 25256
   Rs 25461
   Rs 42515
   Rs 35151
   None of these
   Option A
   
   
    



10. P starts business with Rs. 7000 and after 5 months, Q joins with P as his partner. After 1 year, the profit is divided in the ratio 2 : 3. What is Q’s contribution in the capital?
    Rs 15000
    Rs 18000
    Rs 14000
    Rs 16000
    None of these
    Option B