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प्रश्न
A shopkeeper marks his goods at 30 percent above the cost price and then gives a discount of 10 percent. Find his gain percent.
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उत्तर
Given:
M.P. of the goods = 30% above the C.P.
Let the C.P. be ₹ 100.
M.P. = C.P. + 30% of C.P.
= `100 + 30/100 xx 100`
= `100 + 30/(cancel(100)) xx cancel(100)`
= 100 + 30
= 130
So, M.P. of the goods = ₹ 130
Discount % = 10%
Discount% = `("Discount")/("M. P.") xx 100`
= `10 = ("Discount")/130 xx 100`
= Discount = `(10 xx 130)/100`
= `1300/100`
= 13
Now,
Discount = M.P. - S.P.
⇒ 13 = 130 − S.P.
⇒ S.P. = 130 − 13
= 117
Hence, S.P. of the goods = ₹ 117
C.P. of the goods = ₹ 100
(∵ S.P. is greater than C.P., means goods are sold at a gain.)
Gain = S.P. − C.P.
⇒ Gain = 117 − 100
⇒ Gain = 17
And
Gain% = `("Gain")/("C. P.") xx 100%`
⇒ Gain% = `17/100 xx 100%`
= `17/cancel(100) xx cancel(100%)`
= 17%
Hence, Gain percent = 17%
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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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