Q.1. A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and Rs. 1,50,000 respectively. Find the share of each, out of an annual profit of Rs. 56,700.
Solution:
Ratio of shares of A,B and C = Ratio of their investments
= 120000 : 135000 : 150000 = 8 : 9 : 10.
Q.2. Alfred started a business investing Rs. 45,000. After 3 months, Peter joined him with a capital of Rs. 60,000. After another 6 months, Ronald joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 16,500. Find the share of each.
Solution:
Clearly, Alfred invested his capita for 12 months, Peter for 9 months and Ronald for 3 months.
So ratio of their capitals = (45000×12) : (60000×9) : (90000×3)
= 540000 : 540000 : 270000 = 2 : 2 : 1
Q.3. A, B and C start a business each investing Rs. 20,000. After 5 months A withdrew Rs.5000, B withdrew Rs. 4000 and C invests Rs. 6000 more. At the end of the year, a total profit of Rs. 69,900 was recorded. Find the share of each.
Solution:
Ratio of the capitals of A, B and C
= 20000×5+15000×7 : 20000×5+16000×7: 20000×5+26000×7
= 205000 : 212000 : 282000 = 205 : 212 : 282.
Q.4. A, B and C enter into partnership. A invests 3 times as much as B invests and invests two-thirds of what C invests. At the end of the year, the profit earned is Rs. 6600. What is the share of B?
Solution:
Let C’s capital = Rs. x. Then, B, capital = Rs.
Q.5. Four milkman rented a pasture. A grazed 24 cows for 3 months, B 10 cows for 5 months; C 35 cows for 4 months and D 21 cows for 3 months.If A’s share of rent is Rs. 720, find the total rent of the field.
Solution:
Ratio of shares of A, B, C, D = (24×3) : (10×5) : (35×4) : (21×3)
= 72 : 50 : 140 : 63.
Let total rent be Rs. x. Then, A’s share = Rs.
Hence, total rent of the field is Rs. 3250.
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