Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits?
Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits? Correct Answer 40
Short Trick∶
|
Type of Fruit |
Weight of Fruit (kg) |
Percentage of water |
Percentage of fruit pulp |
|
Fresh fruit |
X = 100 |
68 |
32 |
|
Dry fruit |
T |
20 |
80 |
32% of X = 80% of T
32/100 × 100 = 80/100 × T
T = 40 kg
Detailed Solution∶
Given∶
Percentage of water in fresh fruit = 68%
Percentage of water in dry fruit = 20%
Total Weight of fresh fruit = x = 100 kg
Calculation∶
Let the weight of the total weight of dry fruit be T.
Percentage of fruit pulp in fresh fruit = 32%
Weight of fruit pulp in fresh fruit = 32% of x = 32/100 × 100 = 32 kg
Percentage of fruit pulp in dry fruit = 80%
Weight of fruit pulp in dry fruit = 80% of T
We know that the weight of fruit pulp will be constant in both fresh fruit and dry fruit.
∴ 32 kg = 80% of T
⇒ T = 32 × 100/80 = 40 kg