# 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:

1. ₹ 200
2. ₹ 400
3. ₹ 600
4. ₹ 800
Monis Rasool Professor Asked on 29th August 2015 in

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.

Anurag Mishra Professor Answered on 2nd September 2015.