A shopkeeper offers 10% discount on bags which have been marked 30% above the cost price. Rahul bought the bag for Rs. 1170. What was the cost price (in Rs.) of the bag ?

Options

A. 1250
B. 1300
C. 1500
D. 1000

Answer

To find the cost price of the bag that Rahul bought for Rs. 1170 after a discount, we can follow these steps:

### Step 1: Understand the relationship between cost price, marked price, and selling price.
- Let the cost price (CP) of the bag be Rs. 100X.
- Since the bag is marked 30% above the cost price, the marked price (MP) will be:
\[ MP = CP + 30\% \text{ of } CP = 100X + 30\% \text{ of } 100X = 100X + 30X = 130X \]

### Step 2: Calculate the selling price after the discount.
- The shopkeeper offers a 10% discount on the marked price. Therefore, the selling price (SP) can be calculated as:
\[ SP = MP - 10\% \text{ of } MP = 130X - 10\% \text{ of } 130X = 130X - 13X = 117X \]

### Step 3: Set the selling price equal to the amount Rahul paid.
- According to the problem, Rahul bought the bag for Rs. 1170, so we set:
\[ 117X = 1170 \]

### Step 4: Solve for X.
- To find X, divide both sides by 117:
\[ X = \frac{1170}{117} = 10 \]

### Step 5: Calculate the cost price.
- Now that we have X, we can find the cost price (CP):
\[ CP = 100X = 100 \times 10 = 1000 \]

### Conclusion:
- The cost price of the bag is Rs. 1000.