The incomes and expenditures of P, Q, R are in the ratio of 6 : 8 : 11 and 5 : 8 : 12 respectively. If P saves 1/4th of his income, what is the ratio of the savings of P, Q and R ? Choose the correct choice from the following choices.
A) 15 : 8 : 8	B) 15 : 8 : 6	C) 15 : 8 : 2	D) 15 : 8 : 3	E) 15 : 8 : 9
Explanation:   Let the incomes of P, Q, R be 6x, 8x, 11x and expenditure be 5y, 8y and 12y respectively.   Therefore, savings are : (6x – 5y), (8x – 8y) and (11x – 12y)   Now, 6x – 5y = 1/4(6x)   24x – 20y = 6x   18x = 20y   x/y = 20/18 = 10 / 9   Savings of P / Savings of Q = 6x – 5y / 8x – 8y   = [6(x/y) – 5] / [8(x/y) – 8]   = [(6 * 10/9) – 5] / [(8 * 10/9) – 8]   = 15/8   Savings of Q / Savings of R = 8x – 8y / 11x – 12y   = [8(x/y) – 8] / [11(x/y) – 12]   = (8 * 10/9) – 8 / (11* 10/9) – 12   = 8/2   Ratio of savings of P : Q : R = 15 : 8 : 2   ANSWER: 15 : 8 : 2
<result>C</result>
The incomes and expenditures of P, Q, R are in the ratio of 6 : 8 : 11 and 5 : 8 : 12 respectively. If P saves 1/4th of his income, what is the ratio of the savings of P, Q and R ?