Question

Annual incomes of Aashu and Pinky are in the ratio 8:5 and their annual
expenses 5:3. If each of them saves Rs.500 at the end of the year, then find
annual income in Rs.) of each.​

1

Answer 1

Answer:

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Answer 2

The annual incomes of Aashu and Pinky are Rs. 8000 and Rs. 5000 respectively.

Step-by-step explanation:

Given:

The ratio of The annual incomes of Aashu and Pinky is 8:5.

The ratio of The annual expenses of Aashu and Pinky is 5:3.

At the end of the year savings of Aashu and Pinky are Rs. 500 each.

To Find:

The annual incomes of Aashu and Pinky.

Formula Used:

Annual expenses  = annual income  -  annual savings

Solution:

Let the annual incomes of Aashu and Pinky be p and q respectively.

As given- the ratio of The annual incomes of Aashu and Pinky is 8:5.

$\frac{p}{q} =\frac{8}{5}$

$p=\frac{8q}{5}$     -------------------------- equation no.01.

As given- The ratio of The annual expenses of Aashu and Pinky is 5:3.

                 At the end of the year savings of Aashu and Pinky are Rs. 500 each.

$\frac{p-500}{q-500} =\frac{5}{3}$

$3p-1500=5q-2500$

$3p-1000=5q$

Putting the value of q from equation no.01.

$3\times(\frac{8q}{5} )+1000=5q$

$(\frac{24q}{5} )+1000=5q$

$24q+5000=25q$

$q=5000\ Rs.$

Putting the value of q  in  equation no.01.

$p=\frac{8q}{5}$

$p= \frac{8\times 5000}{5}$

$p= 8000\ Rs.$

Thus, the annual incomes of Aashu and Pinky are Rs. 8000 and Rs. 5000 respectively.