A shopkeeper has 70 buckets and each bucket contain 25 packet of biscuit and each packet has 10 biscuits. If shopkeeper reduces no. of buckets by 20 and increase no. of packet by 10. Find percentage changee in no. of biscuits in each packet. Assume total no. of biscuits are same?

Options

A. `4%`
B. `5%`
C. `15%`
D. `0%`

Answer

To solve the problem step by step, we will first calculate the initial number of biscuits and then the final number of biscuits after the changes made by the shopkeeper. Finally, we will find the percentage change in the number of biscuits in each packet.

### Step 1: Calculate the initial total number of biscuits
- The shopkeeper has 70 buckets.
- Each bucket contains 25 packets of biscuits.
- Each packet has 10 biscuits.

**Calculation:**
\[ \text{Initial total biscuits} = \text{Number of buckets} \times \text{Packets per bucket} \times \text{Biscuits per packet} \]
\[ = 70 \times 25 \times 10 \]
\[ = 70 \times 250 = 17500 \text{ biscuits} \]

### Step 2: Calculate the new number of buckets and packets
- The shopkeeper reduces the number of buckets by 20.
- Therefore, the new number of buckets is:
\[ \text{New number of buckets} = 70 - 20 = 50 \]
- The shopkeeper increases the number of packets per bucket by 10.
- Therefore, the new number of packets per bucket is:
\[ \text{New packets per bucket} = 25 + 10 = 35 \]

### Step 3: Calculate the final total number of biscuits
**Calculation:**
\[ \text{Final total biscuits} = \text{New number of buckets} \times \text{New packets per bucket} \times \text{Biscuits per packet} \]
\[ = 50 \times 35 \times 10 \]
\[ = 50 \times 350 = 17500 \text{ biscuits} \]

### Step 4: Calculate the number of biscuits in each packet initially and finally
- Initially, the number of biscuits in each packet is 10.
- Finally, the number of biscuits in each packet remains 10 (since the total number of biscuits is the same).

### Step 5: Calculate the percentage change in the number of biscuits in each packet
**Calculation:**
\[ \text{Percentage change} = \frac{\text{Final number of biscuits per packet} - \text{Initial number of biscuits per packet}}{\text{Initial number of biscuits per packet}} \times 100 \]
\[ = \frac{10 - 10}{10} \times 100 = \frac{0}{10} \times 100 = 0\% \]

### Conclusion
The percentage change in the number of biscuits in each packet is **0%**.

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