Q: If the incomes and expenditures of P, Q, and R are in the ratios of 6:8:11 and 5:8:12, respectively, and P saves 1/4 of his income, what is the ratio of the savings of P, Q, and R?

A 15 : 8 : 2
B 7 : 15 : 10
C 5 : 10 : 7
D 8 : 5 : 3

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Answer: A

Explanation:

Let the incomes of P, Q, and R be 6x, 8x, and 11x, respectively, 
and their expenditures be 5y, 8y, and 12y, respectively. 
Therefore, 
their savings are (6x - 5y), (8x - 8y), and (11x - 12y), respectively.

If we set the ratio of x to y equal to 10/9, 
we can determine the ratio of the savings of P to Q and Q to R. 
The ratio of the savings of P to Q is 15/8, 
and the ratio of the savings of Q to R is 8/2.

The overall ratio of the savings of P, Q, and R is 15:8:2.

Q: If the incomes and expenditures of P, Q, and R are in the ratios of 6:8:11 and 5:8:12, respectively, and P saves 1/4 of his income, what is the ratio of the savings of P, Q, and R?

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