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प्रश्न
A dealer marks his goods 25% above the cost price and then allows 10% discount on it. What is the cost price of an article on which he gains Rs.575?
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उत्तर
Let the C.P. of the goods = Rs.100
∴ M.P.
= Rs.100 + 25% of Rs.100
= Rs.100 + Rs.25
= Rs.125
Discount
= 10% of Rs.125
= `(10)/(100) xx 125`
= Rs.12.5
∴ S.P.
= M.P. - Discount
= Rs. (125 - 12.5)
= Rs.112.5
Gain
= S.P. - C.P.
= Rs.(112.5 - 100)
= Rs.12.5
When gain is Rs.12.5, C.P. = Rs.100
When gain is Rs.575, C.P.
= `(100 xx 575)/(12.5)`
= Rs.4600.
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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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