मराठी

A Shopkeeper Allows 20% Discount on the Advertised Prices of His Goods and Still Makes a Profit of 12% on His Cost Price. Calculate the Advertised Price of an Article on Which He Gains Rs.135. - Mathematics

Advertisements
Advertisements

प्रश्न

A shopkeeper allows 20% discount on the advertised prices of his goods and still makes a profit of 12% on his cost price. Calculate the advertised price of an article on which he gains Rs.135.

बेरीज
Advertisements

उत्तर

Let the C.P. of the goods = Rs.100
Profit = 12% 
∴ S.P.
= Rs.100 + 12% of Rs.100
= Rs.100 + Rs.12
= Rs.112
Discount = 20%
`"S.P."/"M.P." = 1 - "D"/(100)`

⇒ `(112)/"M.P." = 1 - (20)/(100)`

⇒ M.P. = `(112 xx 100)/(80)`
= Rs.140
Gain
= S.P. - C.P.
= Rs. (112 - 100)
= Rs.12
When gain is Rs.12, M.P. = Rs.140
When gain is Rs.135, M.P.
= `(140 xx 135)/(12)`
= Rs.1575.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Profit , Loss and Discount - Exercise 2.4

APPEARS IN

फ्रँक Mathematics [English] Class 9 ICSE
पाठ 2 Profit , Loss and Discount
Exercise 2.4 | Q 27

संबंधित प्रश्‍न

A shopkeeper allows his customers 10% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs 250?


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.


The cost price of an article is 30 percent less than its selling price. Find, the profit or loss as a percent.


Mr. Sinha sold two tape-recorders for Rs.990 each; gaining 10% on one and losing 10% on the other. Find his total loss or gain as a percent on the whole transaction.


A shopkeeper allows a discount of 12.5% on the marked price and makes a profit of 20%. If the cost price is Rs. 4200, what should be the marked price?


A shopkeeper marks the price of an article at Rs. 1200. Find the selling price, if he allows:
three successive discounts of 10%, 8% and 5%.


The list price of a watch is Rs.4000. It is available either at 25% flat discount or at successive discounts of 15% and 12%. Calculate the better offer and the amount paid in the second offer.


Find the M.P. in the following :
S.P. = Rs.1892, Discount = 14%


Discount is a reduction given on cost price of an article.


Arunima bought household items whose marked price and discount % is as follows:

Item Quantity Rate Amount  Discount %
(a) Atta 1 packet 200 200 16%
(b) Detergent 1 packet 371 371 22.10%
(c) Namkeen 1 packet 153 153 18.30%

Find the total amount of the bill she has to pay.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×