Advertisements
Advertisements
Question
Thirty articles are bought at Rs. 450 each. If one-third of these articles be sold at a 6% loss; at what price must each of the remaining articles be sold in order to make a profit of 10% on the whole?
Solution
C.P. of one article = ₹ 450
C.P. of 30 articles = ₹ 450 × 30 = ₹ 13500
C.P. of `1/3` articles = `₹450xx30/3`
= ₹ 4500
Loss of = 6%
∴ S.P. of 10 articles `=("C.P."xx(100-"Loss%"))/100`
`= ₹(4500 xx (100-6))/100`
`= ₹(4500 xx 94)/100`
= ₹ 4230
C.P. of remaining articles = ₹ 450 × 20
= ₹ 9000
Profit on the whole = 10%
∴ Total S.P. of 30 articles
`=₹(13500xx(100+10))/100`
`=₹(13500xx110)/100`
= ₹ 14850
∴ S.P. of the remaining 20 articles.
= ₹ 14850 − ₹ 4230 = ₹ 10620
∴ S.P. of 1 article = `₹10620/20` = ₹ 531
APPEARS IN
RELATED QUESTIONS
During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs 1450 and two shirts marked at Rs 850 each?
The marked price of a ceiling fan is Rs 720. During off season, it is sold for Rs 684. Determine the discount percent.
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?
If marked price = ₹ 990 and percentage of discount is 10, then find the selling price.
By selling a sofa-set for Rs.2,500; the shopkeeper loses 20%. Find his loss percent or profit percent; if he sells the same sofa-set for Rs.3150.
At 12% discount, the selling price of a pen is Rs. 13.20. Find its marked price. Also, find the new selling price of the pen, if it is sold at 5% discount.
The cost price of an article is Rs. 2,400 and it is marked at 25% above the cost price. Find the profit and the profit percent, if the article is sold at a 15% discount.
The cost price of an article is 25% below the marked price. If the article is available at a 15% discount and its cost price is Rs. 2,400; find:
(i) Its marked price
(ii) its selling price
(iii) the profit percent.
A shopkeeper buys an article whose list price is ₹ 800 at some rate of discount from a wholesaler. He sells the article to a consumer at the list price and charges sales tax at the prescribed rate of 7.5%. If the shopkeeper has to pay a VAT of ₹ 6, find the rate of discount at which he bought the article from the wholesaler.
A tradesman sells his goods at 10% discount. What Price should he mark on an article that costs him Rs. 2400, to gain 12.5%?
The list price of a mobile is Rs. 4000. A customer gets two successive discounts, the first being 10%. Calculate, in percentage, the second discount, if the customer pays Rs. 3060 for it.
Find if the following discount series is better for the customer:
25%, 20% and 15%
A firm dealing in computers, allows 5% discount on the marked price of each system. What price must be marked on a computer set which costs Rs. 20,000 to assemble, so as to make a profit of 25%?
Find the discount percentage in the following :
M.P. = Rs.1500, S.P. = Rs.1320
Find the amount paid by a customer when he buys a watch priced at Rs.5400 available at a discount of 12%.
A shopkeeper fixes the selling price of his goods at 60% above the cost price. He sells half of his stock at this price, a quarter of his stock at a discount of 25% on the original selling price, and the rest at a discount of 50% on the original selling price. Find the gain percent altogether.
A trader allows a discount of 15% on the marked price of the goods in his shop. However, he still makes a gross profit of 36% on the cost price. Find the profit percent, he would have made, had he sold the goods at the market price.
A shopkeeper was selling all his items at 25% discount. During the off season, he offered 30% discount over and above the existing discount. If Pragya bought a skirt which was marked for Rs 1,200, how much did she pay for it?
Store A and Store B both charge Rs 750 for a video game. This week the video game is on sale for Rs 600 at Store B and for 25% off at Store A. At which store is the game less expensive?
