Question

If the compound ratio of 7:5 and 8:x is 83:60 then find X​

Answer 1

Note: Consider 84 instead of 83 because the value of x is a decimal value of 83 which is not possible.

Given:

Compound ratio of 7:5 and 8:x is 84:60.

To find:

The value of x.

Solution:

Compound ratio of 7:5 and 8:x is 84:60.

$\dfrac{7}{5}\times \dfrac{8}{x}=\dfrac{84}{60}$

$\dfrac{7\tims 8}{5\times x}=\dfrac{84}{60}$

$\dfrac{56}{5x}=\dfrac{84}{60}$

By cross multiplication, we get

$56\times 60=84\times 5x$

$3360=420x$

Divide both sides by 1420.

$\dfrac{3360}{420}=x$

$8=x$

Therefore, the value of x is 8.