Question

if 10% of x + 15% of y = 12% of 12000 then how did we get 10x + 15y = 144000​

Answer 1

Hint:The value of 10% of x =10100×x and the value of 20% of y =20100×y. Equate these equations to find the ratio x: y.

Complete step-by-step answer:

We have been given-

10% of x = 20% of y

We can write the above equation as-

10100×x = 20100×y

Solving further, we get-

x×110=y×210⇒x=2y⇒xy=21⇒x:y=2:1

Therefore, the ratio of x: y is 2: 1.

Hence, the option (B) is correct.

Note – Whenever such types of questions appear, then write the things given in question. Using the condition, 10% of x = 20% of y, and converting it in the form 10100×x = 20100×y, solve it and find the ratio of x: y.