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प्रश्न
A shopkeeper allows 20% discount on his article. What price must be mark on an article, which costs him Rs.1750, to make a profit 20%?
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उत्तर
Let the marked price be Rs. x
Discount = 20%
∴ S.P. = M.P. - discount
= x - 20% of Rs. x
= Rs.`(80)/(100)x`
Given, C.P. = Rs.1750
Gain = 20%
`"S.P."/"C.P." = 1 + "Gain"/(100)`
⇒ `((80)/(100)x)/(1750) = 1 + (20)/(100)`
⇒ x = `(120/100) xx 1750 xx (100)/(80)`
= Rs.2625
∴ The marked price = Rs.2625.
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संबंधित प्रश्न
After offering discount of 10% on marked price, a customer gets total discount of 17 rupees. To find the cost price for the customer, fill in the following boxes with appropriate numbers and complete the activity.
Suppose, marked price of the item = 100 rupees
Therefore, for customer that item costs `square` - `square` = 90 rupees
Hence, when the discount is `square` then the selling price is `square` rupees.
Suppose when the discount is `square` rupees, the selling price is x rupees.
∴ `x/square=square/square`
∴ x = `(squarexxsquare)/square`
∴ x = `square`
∴ the customer will get the item for 153 rupees.
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