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  1. The difference between a discount of 30% and two successive discounts of 20% and 10% on the marked price of an article is Rs. 144. The marked price of the article is
    1. Rs. 7,200
    2. Rs. 7,400
    3. Rs. 7,500
    4. Rs. 7,000
Correct Option: A

Let the marked price of article be Rs. M.

Single equivalent discount for X % and Y % = x + y −
xy
%
100

Single equivalent discount for 20% and 10% = 20 + 10 −
20 × 10
% = 28%
100

According to the question,

30% of M – 28% of M = 144
⇒ 
M × 2
= 144
100

⇒  M =
144 × 100
2

⇒  M = Rs. 7200



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