A can contain a mixture of two liquids A and B in the ratio 7:5. When 9 liters of mixture are drawn off and the can is filled with B the ratio of A and B becomes 7:9 . How many liters of liquid A was contained by the can initially?

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept- A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. An equation known as proportion shows that the two ratios presented are equal to one another.
As given in the question we have the ratio of two liquid and we need to calculate the amount of liter so that it became the ratio of

As we have the ratio of two liquids that is

So we will take the quantity of liquid as

So now we have given the 9 liters of mixture are drawn off now the leftover liquid will be Liquid A left

And B will be

So the ratio of leftover liquid will be

Cross multiplying this will give,
Question Image

So, we got the value of then the initial value of A is

Hence, the correct option is 3) 21

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE