Question

A container P is filled with milk to its top transferred into two containers Q and R. The quantity of milk in container Q is 71.428% less than the capacity of container P. If 237 liters was now poured from R to Q then the quantity of milk in R and Q will be same. What is the initial quantity of milk in container P?

1. 1106
2. 1206
3. 1306
4. 1406

Answer 1

Correct Answer - Option 1 : 1106

Given:

The quantity of milk in container Q is 71.428% less than the capacity of container P after the first operation

Calculation:

Let the capacity of container P = 7x

Let the quantity of milk in container Q after the first operation = 7x – 5x = 2x

Equating the quantity of water in all the container

⇒ P : Q : R = 7x : 2x : 5x

We know that

5x – 237 = 2x + 237

⇒ 3x = 474

⇒ x = 158

⇒ Quantity of milk initially in the container P = 7 × 158 = 1106 l

∴ The initial quantity of milk in container P is 1106 liters.