Question

If x:6 :: 32:24 then what is the value of x?
a) 7
b) 8
c) 6
d) 5

Answer 1

Hint:
We can write the form a:b::c:d
as. $\dfrac{a}{b} = \dfrac{c}{d}$ . Using the cross multiplication method, find x.

Complete step by step solution:
we can write it as $\dfrac{x}{6} = \dfrac{{32}}{{24}}$
Now cross multiplying
 $ \Rightarrow x \times 24 = 6 \times 32$
 on solving we get $x = \dfrac{{6 \times 32}}{{24}} = 8$
Therefore x = 8

So, Option (B) is the correct answer.

Note:
Ratio means the relation between the amount of two products. If two products are in the ratio 1:2. What we understand with it is, one product is in some amount but the other product is just double of the first product. Proportion simply means two ratios are equal.