A fresh fruit contains 62 % of water, and a dry fruit contains 24 % of water. How much dry fruit can be obtained from a 100 kg of fresh fruit?

A fresh fruit contains 62 % of water, and a dry fruit contains 24 % of water. How much dry fruit can be obtained from a 100 kg of fresh fruit? Correct Answer 50 kg

Given:

Water content of fresh fruit = 62%

Water content of dry fruit = 24%

Amount of fresh fruit = 100 kg

Concept used:

In dry fruit and fresh fruit, the weight of pulp remains the same

Weight of fruit = Weight of water + Weight of pulp

Calculations:

In fresh fruit, Water ∶ Pulp = 62 ∶ 38

⇒ W ∶ P = 31 ∶ 19

In dry fruit, Water ∶ Pulp = 24 ∶ 76

⇒ W ∶ P = 6 ∶ 19

The ratio of water and pulp in fresh fruit is 31 ∶ 19

Let the quantity of water and pulp be 31x and 19x respectively

Now, A/Q

31x + 19x = 100

⇒ 50x = 100

⇒ x = 2

Weight of pulp in fresh fruit = 19 × 2 = 38 kg

The ratio of water and pulp in dry fruit is 6 ∶ 19

Let the weight of dry fruit be y kg assume

Now, (19/25) × y = 38

⇒ y = 50 kg

∴ The weight of the dry fruit obtained from 100 kg fresh fruit is 50 kg