Question

the monthly incomes of p and q are in the ratio of 5:6.their monthly expenses are in the ratio of 8:9 . if Q's monthly saving is one fourth of his monthly income,then find the ratio of the monthly savings of p and q​

Answer 1

Answer:

The ratio of the monthly savings of P and Q is 2 : 3

Step-by-step explanation:

Given:

Ratio of monthly income of P and Q = 5 : 6

Ratio of monthly expenses of P and Q = 8 : 9

Q's monthly saving = $\frac{1}{4}$ * Monthly income

To find:

Ratio of monthly savings of P and Q

Solution:

Let the multiplying factor of the income be x

and of the expenses be y

=> Monthly income of P = 5x

    Monthly income of Q = 6x

    Monthly expenses of P = 8y

    Monthly expenses of Q = 9y

We know that Savings = Income - Expenses

=>      Monthly savings of P = 5x - 8y

         Monthly savings of Q = 6x - 9y

But we know that 6x - 9y = $\frac{1}{4}$ * 6x

=> 2(6x - 9y) = 3x

=> 12x - 18y = 3x

=> 12x - 3x = 18y

=> 9x = 18y

=> x = 2y

We need to find the ratio of monthly savings of P and Q

=> $\frac{5x-8y}{6x-9y}$

=  $\frac{5*2y-8y}{6*2y-9y}$

=  $\frac{10y-8y}{12y-9y}$

=  $\frac{2y}{3y}$

= $\frac{2}{3}$

Therefore, the ratio of the monthly savings of P and Q is 2 : 3

Answer 2

Answer:tyu

Step-by-step explanation:

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