Archive
23rd of March 2017
Mathematics
Q:

A retailer buys an article from a wholeseller at a discount.The retailer sells it at rs1210 inclusive of sales tax at the rate of 10% on the listed price.If he makes a profit of 14% by selling it.Find rate of discount the retailer received from the wholeseller

Pinky Agrahari - ICSE - Class X

Thursday, March 23, 2017 at 17:38:PM

A:

begin mathsize 16px style Consider comma space list space price space be space straight x.
Sales space tax equals 10 percent sign of space straight x
1210 equals straight x plus fraction numerator 10 straight x over denominator 100 end fraction
1210 equals fraction numerator 110 straight x over denominator 100 end fraction
straight x equals 1100
1210 equals 10 percent sign of space straight x plus 14 percent sign space of space open parentheses list space price minus discount close parentheses plus list space price minus discount
1210 equals 10 percent sign of space straight x plus 14 percent sign space of space open parentheses list space price minus discount close parentheses plus listed space price minus straight d over 100 cross times list space price
After space simplifying space this space you space will space get comma space
1210 equals 124 over 100 cross times list space price minus 114 cross times straight d over 100 cross times list space price
Put space list space price space as space 1100 space you space will space get space the space discount space straight d equals 12.28 percent sign. space
end style

Friday, March 24, 2017 at 14:37:PM