Question : 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:
Option 1: Rs. 7,200
Option 2: Rs. 7,400
Option 3: Rs. 7,500
Option 4: Rs. 7,000
Correct Answer: Rs. 7,200
Solution :
Given: 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.
Two successive discounts of 20% and 10% are equivalent to,
$(20+10-\frac{20×10}{100})$% = (30 – 2)% = 28%.
Now, the difference between a 30% discount and a 28% discount is (30 – 28) = 2% discount
Here, 2% of the marked price is equivalent to Rs.144,
So, 100% of the marked price is equivalent to $(\frac{144}{2}×100)$ = 7200
Therefore, the marked price of the article is Rs. 7,200.
Hence, the correct answer is Rs. 7,200.
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