# What will be the Market Price of An Article? If

The difference between successive discounts of 40% followed by 30% and 45% followed by 20% on the marked price of an article is ₹ 12. The marked price of the article is:

- ₹ 200
- ₹ 400
- ₹ 600
- ₹ 800

**Answer: (3) Rs. 600**

**Explanation:- **Let the marked price of an article be Rs. 100.

**According to first condition,**

The successive discount of 40 % followed by 30 %.

Then, the successive discount = 40 + 30 – 40 x 30/100

= 70 – 12

= 58%

Then, the selling price = 100 – 58

= Rs. 42

**According to second condition,**

The successive discount of 45% followed by 20%.

Then, the successive discount = 45 + 20 – 45 x 20/100

= 65 – 9

= 56

Then, the selling price = 100 – 56

= Rs. 44

The difference between successive discounts of 40% followed by 30% and 45% followed by 20% on the marked price of an article is ₹ 12.

Then,( 46 – 44) % = 12

2 % = 12

Therefore, 1 % = 12/2

1% = 6

Then, 100% = 600

Then, the marked price of the article is Rs. 600.

Hence, the answer is (3) Rs. 600.