Question : An article is sold at a discount of 25% and an additional discount of 28% is allowed on cash payment. If Ramendra purchased the article by paying INR 10,800 in cash, then what was the marked price of the article?
Option 1: INR 19,800
Option 2: INR 20,800
Option 3: INR 20,000
Option 4: INR 18,000
Correct Answer: INR 20,000
Solution :
Given,
Two discounts are 25% and 28%
Selling price of shopkeeper = INR 10,800
Let the market price of the article be INR $x$.
According to the question,
M.P × (100 – D
1
)% × (100 – D
2
)% = S.P
$x$ × (100 – 25)% × (100 – 28)% = 10800
$x\times\frac{75}{100}\times\frac{72}{100}=10800$
⇒ $x=\frac{10800\times100\times100}{75\times72}$
⇒ $x=20000$
Hence, the correct answer is INR 20,000.
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