A medical store owner purchased medicines worth ? 6000 from a company. He sold 1/3 part of the medicine at 30% loss .On which gain he should sell his rest of the medicines, so that he has neither gain nor loss?

Answer

To solve the problem step by step, let's break it down:

### Step 1: Determine the Total Cost Price
The total cost price (CP) of the medicines purchased by the medical store owner is given as ₹6000.

### Step 2: Calculate the Cost Price of 1/3 of the Medicines
To find out how much 1/3 of the medicines cost:
\[ \text{Cost Price of } \frac{1}{3} \text{ of medicines} = \frac{1}{3} \times 6000 = 2000 \]

### Step 3: Calculate the Selling Price of 1/3 of the Medicines at 30% Loss
If the owner sells this portion at a 30% loss, we can calculate the selling price (SP) as follows:
\[ \text{Loss} = 30\% \text{ of } 2000 = 0.3 \times 2000 = 600 \]
\[ \text{Selling Price} = \text{Cost Price} - \text{Loss} = 2000 - 600 = 1400 \]

### Step 4: Calculate the Cost Price of the Remaining Medicines
The remaining medicines are 2/3 of the total. We calculate the cost price of the remaining medicines:
\[ \text{Cost Price of } \frac{2}{3} \text{ of medicines} = \frac{2}{3} \times 6000 = 4000 \]

### Step 5: Calculate the Total Selling Price Required for No Gain or Loss
To have neither gain nor loss, the total selling price (SP) must equal the total cost price (CP). The total selling price is the selling price of the first part plus the selling price of the remaining part:
\[ \text{Total Selling Price} = \text{Total Cost Price} = 6000 \]
Since the selling price of the first part is ₹1400, we can find the selling price of the remaining medicines (let's call it \( x \)):
\[ 1400 + x = 6000 \]
\[ x = 6000 - 1400 = 4600 \]

### Step 6: Calculate the Gain on the Remaining Medicines
Now, we need to find out the gain on the remaining medicines:
\[ \text{Gain} = \text{Selling Price} - \text{Cost Price} = 4600 - 4000 = 600 \]

### Step 7: Calculate the Gain Percentage
To find the gain percentage, we use the formula:
\[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100 \]
Substituting the values:
\[ \text{Gain Percentage} = \left( \frac{600}{4000} \right) \times 100 = 15\% \]

### Conclusion
The medical store owner should sell the rest of the medicines at a gain of **15%** to ensure that he has neither gain nor loss overall.

---