In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quanity of water to be further added is

Answer: Option B

Explanation:

$$\begin{aligned} \frac{1}{2}:\frac{2}{3}:\frac{3}{4} \\ = 6:8:9\\ \text{First part =} 782 * \frac{6}{23} \\ = 204 \end{aligned}$$

Answer: Option B

Explanation:

Let C = x. Then A = (x—20) and B = (x—40).
x + x - 20 + x - 40 = 120 Or x=60.
A:B:C = 40:20:60 = 2:1 :3.
B's share = Rs. 120*(1/6) = Rs. 20

Answer: Option D

Explanation:

Quantity of Milk = 60*(2/3) = 40 liters
Quantity of water = 60-40 = 20 liters

As per question we need to add water to get quantity 2:1

=> 40/(20+x) = 1/2
=> 20 + x = 80
=> x = 60 liters

Answer: Option D

Explanation:

Let A = 2x, B = 3x, C = 4x, then,
$$\begin{aligned} \frac{A}{B} = \frac{2x}{3x} = \frac{2}{3} \\ \frac{B}{C} = \frac{3x}{4x} = \frac{3}{4} \\ \frac{C}{A} = \frac{4x}{2x} = \frac{2}{1} \\ => \frac{A}{B}:\frac{B}{C}:\frac{C}{A} \\ = \frac{2}{3}:\frac{3}{4}:\frac{2}{1} \\ = 8:9:24 \end{aligned}$$

Answer: Option C

Explanation:

let x = 1k and y = 3k, so
$$\begin{aligned} = \frac{7(k)+3(3k)}{2(k)+1(3k)} \\ = \frac{16k}{5k} \\ = 16:5 \end{aligned}$$