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Question
To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360 as ______.
Options
Rs 500
Rs 450
Rs 460
Rs 486
Solution
To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360 as Rs 500.
Explanation:
Let the marked price of the article be Rs. x.
Cost price of the article = Rs. 360
According to the question,
`x - x xx 10/100 - (25 xx 360)/100 = 360`
⇒ `x - x/10 - 90 = 360` .....`[(∵ "Discount is always calculated on marked price and"), ("profit is always calculated on cost price")]`
⇒ `(9x)/10 - 90 = 360`
⇒ `(9x)/10 = 360 + 90`
⇒ `x = (450 xx 10)/9`
⇒ `(9x)/10 = 450`
⇒ x = Rs 500
So, the marked price is Rs 500.
Hence, Rs 500
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