Q1 of 15 Page 137

Acid and water are mixed in the ratio 4 : 3 to make a liquid. On adding 10 more litres of Acid, the ratio changed to 3 : 1. How many litres of acid and water does the liquid contain now?

Let us assume the actual quantity of acid as 4x and water as 3x.


Now,


On adding 10 more litres of Acid, ratio becomes 3: 1



⇒


⇒ 1 × (4x + 10) = 3 × 3x


⇒ 4x + 10 = 9x


⇒ 9x – 4x = 10


⇒ 5x = 10


⇒


New quantity of Acid = 4x + 10


= 4×2 + 10


= 8 + 10 = 18


New Quantity of Water = 3x


= 3×2 = 6


More from this chapter

All 15 →
4

There are four right triangles, the ratio of perpendicular sides being 3 : 4 in each. Once more fact about each is given below. Find the lengths of the sides of each triangle.

The perimeter is 24 metres.

 4

There are four right triangles, the ratio of perpendicular sides being 3 : 4 in each. Once more fact about each is given below. Find the lengths of the sides of each triangle.

The area is 24 square metres.

 2

Two angles are in the ratio 1 : 2. On increasing the smaller angle by 6° and decreasing the larger angle by 6°, the ratio changed to 2 : 3. What were the original angles?

 3

The sides of a rectangle are in the ratio 4 : 5.

By what fraction should the shorter side be increased to make it a square?