Question

two quantities are in the ratio 3:5. (i) if the smaller alone is made four times the original ,what would the ratio be?(ii) if the smaller is doubled and larger is halved,what would the ratio be?

Answer 1

Answer:  The answer is (i) 12 : 5, (ii) 12 : 5.

Step-by-step explanation:  Give that there are two quantities which are in the ratio 3 : 5. So, let the actual value of both the quantities be '3x' and '5x'.

(i)  If the smaller quantity is made 4 times, then its value become 12x. Then the ratio will be

$12x:5x=12:5.$

(ii) If the smaller quantity is doubled and larger is halved, then their values becomes 6x and 5/2x. So, their ratio will be

$6x:\dfrac{5}{2}x=12:5.$

Thus, in both the cases, the ratio will be 12 : 5.