A shopkeeper purchased a table marked at Rs. 200 at successive discount of 10% and 15% respectively. He spent Rs. 7 on transportation and sold the table for Rs. 200. Find his gain%?
(a)No loss or gain
(b)25
(c)30
(d)40

Options

A. No loss or gain
B. 0.25
C. 0.3
D. 0.4

Answer

To solve the problem step by step, we will calculate the cost price (CP) of the table after applying the successive discounts, add the transportation cost, and then determine the gain percentage based on the selling price (SP) and the total cost price.

### Step 1: Calculate the Selling Price after Discounts
1. **Marked Price (MP)** = Rs. 200
2. **First Discount** = 10%
- Discount Amount = 10% of 200 = (10/100) * 200 = Rs. 20
- Price after first discount = MP - Discount Amount = 200 - 20 = Rs. 180

3. **Second Discount** = 15%
- Discount Amount = 15% of 180 = (15/100) * 180 = Rs. 27
- Price after second discount = Price after first discount - Discount Amount = 180 - 27 = Rs. 153

### Step 2: Calculate the Total Cost Price (CP)
1. **Cost Price (CP)** = Price after discounts + Transportation Cost
- Transportation Cost = Rs. 7
- Total CP = 153 + 7 = Rs. 160

### Step 3: Calculate the Selling Price (SP)
- **Selling Price (SP)** = Rs. 200 (as given in the question)

### Step 4: Calculate the Profit
1. **Profit** = SP - CP
- Profit = 200 - 160 = Rs. 40

### Step 5: Calculate the Gain Percentage
1. **Gain Percentage** = (Profit / CP) * 100
- Gain Percentage = (40 / 160) * 100 = 25%

### Final Answer
The gain percentage is **25%**. Thus, the correct option is (b) 25.

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