Darwin Miya has 6 kinds of fruits in large amount and has suffcient number of indentical bixes to store the fruits. He can put at least 10 and atmost 15 fruits in any box and he put only eone kinds of fruits in a box. Further not more than 5 boxes can contain same number of fruits. Maximum number of fruits that he put in the boxes is :

Options

A. 325
B. 375
C. 75
D. can't be determined

Answer

To find the maximum number of fruits that Darwin Miya can put in the boxes, we can follow these steps:

### Step 1: Determine the maximum number of fruits per box
Darwin can put a maximum of 15 fruits in each box.

### Step 2: Determine the maximum number of boxes that can contain the same number of fruits
According to the problem, not more than 5 boxes can contain the same number of fruits.

### Step 3: Calculate the total number of fruits for one kind of fruit
If Darwin uses the maximum of 15 fruits per box and he can use 5 boxes for that kind of fruit, the total number of fruits for one kind would be:
\[ 15 \text{ fruits/box} \times 5 \text{ boxes} = 75 \text{ fruits} \]

### Step 4: Calculate the total number of fruits for all kinds of fruits
Since Darwin has 6 kinds of fruits, he can repeat the same arrangement for each kind. Therefore, the total number of fruits he can store is:
\[ 75 \text{ fruits} \times 6 \text{ kinds of fruits} = 450 \text{ fruits} \]

### Conclusion
The maximum number of fruits that Darwin Miya can put in the boxes is **450 fruits**.

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