A person paid Rs. 17,000 for a motor-car after a single discount of 15%. If he is given successive discounts of 5% and 10% then how much he would pay ?

Options

A. Rs. 17,000
B. Rs. 17,010
C. Rs. 17,100
D. Rs. 18,900

Answer

To solve the problem step by step, we will first determine the marked price of the motor car based on the single discount given, and then calculate the final price after applying the successive discounts.

### Step 1: Determine the Marked Price
The person paid Rs. 17,000 after a single discount of 15%. This means that Rs. 17,000 represents 85% of the marked price (100% - 15% = 85%).

Let the marked price be \( M \).

\[ 0.85M = 17000 \]

To find \( M \), we divide both sides by 0.85:

\[ M = \frac{17000}{0.85} \]

Calculating this gives:

\[ M = 20000 \]

### Step 2: Calculate the First Successive Discount (5%)
Now that we have the marked price, we will apply the first successive discount of 5%.

The discount amount for 5% of the marked price is:

\[ \text{Discount} = 0.05 \times 20000 = 1000 \]

Now, we subtract this discount from the marked price to find the selling price after the first discount:

\[ \text{Selling Price after 1st Discount} = 20000 - 1000 = 19000 \]

### Step 3: Calculate the Second Successive Discount (10%)
Next, we apply the second successive discount of 10% on the new selling price of Rs. 19,000.

The discount amount for 10% of Rs. 19,000 is:

\[ \text{Discount} = 0.10 \times 19000 = 1900 \]

Now, we subtract this discount from the selling price after the first discount:

\[ \text{Final Selling Price} = 19000 - 1900 = 17100 \]

### Final Answer
The final amount the person would pay after applying both successive discounts is Rs. 17,100.

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