Question

A fruit vendor bought fruits in bulk out of which 20% were rotten which he throw away of the remaining 75% was sold and 50% of the remaining he used to make fruit juice. If the difference between the number of fruits he used to make juice and number of rotten fruits is 48. Find the total number of fruits that vendor bought.
1. 480
2. 500
3. 560
4. 650
5. 600

Answer 1

Correct Answer - Option 1 : 480

Let the fruits bought by the vendor be 100x

20% were rotten and was thrown away by the vendor

Rotten fruits = (20/100) × 100x = 20x

∴ Remaining fruits = (80/100) × 100x = 80x

75% of the remaining fruits was sold 

∴ Fruits sold = (75/100) × 80x = 60x

Remaining fruits = 80x – 60x = 20x

Now, 50% of the remaining fruits is used to make juice

∴ Fruits used for juice = (50/100) × 20x = 10x

The difference between the number of fruits he used to make juice and number of rotten fruits is 48

According to question 

⇒ 20x – 10x = 48

⇒ 10x = 48

⇒ x = 4.8

∴ Total fruits bought by the vendor = 4.8 × 100 = 480