Fresh fruit contains water and dry fruit contains water. How
Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?
- A.
43 kg
- B.
40 kg
- C.
42 kg
- D.
41 kg
Attempted by 340 students.
Show answer & explanation
Correct answer: B
Answer: 40 kg
Method 1 (algebraic):
Fresh fruit: 100 kg with 68% water → non-water (fruit solids) = 100 × (1 − 0.68) = 32 kg.
Let x be the weight of dry fruit (including water). Dry fruit has 20% water, so non-water = x × (1 − 0.20) = 0.8x.
Equate non-water amounts: 0.8x = 32 → x = 32 ÷ 0.8 = 40 kg.
Method 2 (percentage of fruit solids):
Fresh fruit: fruit solids = 32% of 100 kg = 32 kg.
Dry fruit: fruit solids are 80% of its weight. If dry fruit weighs y kg, then 0.8y = 32 → y = 40 kg.
Therefore, 100 kg of fresh fruits yield 40 kg of dry fruit.