The sale price of an article including the sales tax is Rs 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is
Answer: D Let CP of the article be Rs 100 SP at a gain of 25/2 % = 100*1.125 = Rs 112.50 SP at a gain of 25% = Rs 125 If SP is Rs 12.5 more than CP = Rs 100 If SP is Rs 22.5 more than CP = 100/12.5 * 22.5 = Rs 180.
Q. No. 9:
If selling price is doubled, the profit triples. Find the profit percent.
Answer: B Let the CP be x and SP be y. Then profit = (y - x) If SP =2y, then profit = 3(y - x) Given, 2y - x =3(y - x) => y=2x Profit = 100%
Q. No. 10:
A bought 4 bottles of beer and B bought one bottle of lager, lager per bottle costing twice that of the beer. C bought nothing but paid Rs 50, for his share of the drink which they mixed together and shared equally. If C's Rs 50 covered his share, then what is the cost of the lager?
Answer: C Total amount spent by them = Rs 150. Let the cost of one beer be x, then the cost of one lager will be 2x. Total money spent on beer and lager = (4x+2x) = 6x => 6x = 150 , x= Rs 25 The cost of the lager = 2*25 = Rs 50.
Q. No. 11:
If 7% of the sale price of an article is equivalent to 8% of its cost price and 9% of its sale price exceeds 10% of its cost price by Rs 1, then what is the cost price of the article?
Answer: B Let CP = Rs x and SP = Rs y => y*7% = x*8%.............(i) and y*9% = x*10% +1.....(ii) On solving these two equation we get x= 350
Q. No. 12:
Company C sells a line of 25 products with an average retail price of Rs 1200. If none of these products sells for less than Rs 420 and exactly 10 of the products sell for less than Rs 1000. What is the greatest possible selling price of the most expensive products?