Question

A vessel contains a mixture of two liquids A and B in the ratio 3 : 5 respectively. A quarter of the mixture is drawn out and replaced with liquid A. The quantity of A in the mixture now is 21.25 litres. What is the
quantity of B in the new mixture?
2
Pick ONE option
3
A) 15.75 litres
4
B) 18.75 litres
5
C) 25.75 litres
6
D) 21.75 litres
7
Clear Selection
8​

Answer 1

Answer:

option (A)

Step-by-step explanation:

assuming 'x' as constant ratio

total quantity of mix = 8x

replaced mix with liquid A = 8x/4 = 2x

3x + 2x = 21.25 => x = 4.25

quantity of B in the new mixture

=[5x - (5x/4)] = 15x/4 = 15(4.25)/4= 15.9375 litre ~ 15.75 litre.

option (A) seems Correct.

Answer 2

The quantity of liquid B in new mixture is 18.75 litres. so the correct option is (B).

A vessel contains a mixture of two liquids A and B in the ratio 3 : 5 respectively. A quarter of the mixture is drawn out and replaced with liquid A. The quantity of A in the mixture now is 21.25 litres.

We have to find the quantity of B in the new mixture.

Let the proportionality constant is x.

∴ quantity of liquid A = 3x and quantity of liquid B = 5x.

∴ the quantity of mixture = (3x + 5x) = 8x

Now one quarter of the mixture , i.e., 8x/4 = 2x, is drawn out.

Quantity of liquid A in 2x = 2x × 3/8 = (3/4)x

Quantity of liquid B in 2x = 2x × 5/8 = (5/4)x

Now, remaining quantity of A = 3x - 3x/4 = 9x/4

Remaining quantity of B = 5x - 5x/4 = 15x/4

Now, 2x is replaced by liquid A.

So quantity of A in new mixture = 9x/4 + 2x = 17x/4

And quantity of B in new mixture = 15x/4

But given, The quantity of of liquid A in new mixture = 21.25

⇒17x/4 = 21.25

⇒x = 5

hence, the quantity of liquid B in new mixture = 15x/4 = 75/4 = 18.75 litres.

Therefore the correct option is (B) 18.75 litres.

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