Aptitude Day 215

Answers of the Day 214:  1. 6.

                                            2. 8,000.

Problems on Partnership:

1. P and Q are partners in a business. P contributes 1/4 of the capital for 15 months and Q received 2/3 of the profit. For how long B’s money was used?

Solution:

                 Let the capital be x and profit be z.

               

                 Q’s profit = 2/3(z).

                 P’s profit = z - 2/3(z) = z/3.

                 Their ratio z/3 : 2z/3 = 1: 2

                 If P contributes 1/4 of the capital, then Q contributes 3/4 of the capital and Q’s money used for 'a' months.

                 1/4(x) *15 / 3/4(x) *a = 1/2

                 a = 10 months.

 2. 3 partners shared the profit in a business in the ratio 2:3:4. They had partnered for 10 months, 12 months and 8 months respectively. What was the ratio of their investments?

Solution:

                 10x: 12y: 8z = 2: 3: 4

                 Equating 1^st 2 ratio values, we get

                 10x/12y = 2/3

                 y = 5x/4.

                 Equating 2^nt 2 ratio values, we get

                 10x/8z = 2/4

                 z = 5x/2.

                 The ratio is x: 5x/4: 5x/2

                                 = 4: 5: 10