


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.
Answer & Solution
Answer: b) Rs. 16800, Rs. 18900, Rs. 21000
Solution: Ratio of shares of A, B, and C = Ratio of their investments = 120000 : 135000 : 150000 = 8 : 9 : 10 A's share = Rs. [56700 * (8/27)] = Rs. 16800 B's share = Rs. [56700 * (9/27)] = Rs. 18900 C's share = Rs. [56700 * (10/27)] = Rs. 21000 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.
Answer & Solution
Answer: c) Rs. 6600, Rs. 6600, Rs. 3300
Solution: Clearly, Alfred invested his capital 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 Alfred's share = Rs. [16500 * (2/5)] = Rs. 6600 Peter's share = Rs. [16500 * (2/5)] = Rs. 6600 Ronald's share = Rs. [16500 * (1/5)] = Rs. 3300 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.
Answer & Solution
Answer: b) Rs. 20500, Rs. 21200, Rs. 28200
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 A's share = Rs. [69900 * (205/699)] = Rs. 20500 B's share = Rs. [69900 * (212/699)] = Rs. 21200 C's share = Rs. [69900 * (282/699)] = Rs. 28200 4.
A, B and C enter into partnership. A invests 3 times as much as B invests and B invests twothird of what C invests. At the end of the year, the profit earned is Rs. 6600. What is the share of B?
5.
Four milkmen 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?
6.
A invested Rs. 76,000 ina business. After few months, B joined him with Rs. 57,000. At the end of the year, the total profit was divided between them in the ratio 2 : 1. After how many months did B join?
7.
A, B and C enter into a partnership by investing in the ratio of 3 : 2 : 4. After one year, B invests another Rs. 2,70,000 and C, at the end of 2 years, also invests Rs. 2,70,000. At the end of three years, profits are shared in the ratio of 3 : 4 : 5. Find the initial investment of each.
Answer & Solution
Answer: c) Rs. 2,70,000, Rs. 1,80,000, Rs. 3,60,000
Solution: Let the initial investments of A, B and C be Rs. 3x, Rs. 2x and Rs. 4x respectively. Then, (3x * 36) : [(2x * 12) + (2x + 270000) * 24] : [(4x * 24) + (4x + 270000) * 12] => 108x : (72x + 6480000) : (144x + 3240000) = 3 : 4 : 5 [108x/(72x + 6480000)] = 3/4 => 432x = 216x + 19440000 => 216x = 19440000 => x = 90000 Hence, A's initial investment = 3x = Rs. 2,70,000 B's initial investment = 2x = Rs. 1,80,000 C's initial investment = 4x = Rs. 3,60,000 