At 30% discount, the selling price of an article is Rs 1050. What is the selling price (in Rs) if the discount is 15%?a)1200b)1175c)1100d)1275Correct answer is option 'D'. Can you explain this answer?

Question

Answer

Given:
- Selling price of an article with a 30% discount is Rs 1050.

To find:
- Selling price of the article with a 15% discount.

Solution:
To find the selling price of an article with a 15% discount, we can use the concept of a percentage decrease.

Step 1:
Let's first find the original price of the article before any discount was applied.

We know that the selling price after a 30% discount is Rs 1050. This means the selling price is 70% of the original price.

Let the original price be 'x'.

70% of x = 1050

To find x, we can divide both sides of the equation by 70% (or 0.7).

x = 1050 / 0.7

x = 1500

So, the original price of the article is Rs 1500.

Step 2:
Now that we know the original price, we can calculate the selling price with a 15% discount.

15% of Rs 1500 is (15/100) * 1500 = Rs 225.

To find the selling price, we need to subtract the discount amount from the original price.

Selling price = Original price - Discount amount
= Rs 1500 - Rs 225
= Rs 1275

Therefore, the selling price of the article with a 15% discount is Rs 1275.

Answer:
The selling price (in Rs) if the discount is 15% is Rs 1275 (option D).

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