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

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