Sandy sold an article at Rs.96 insuch a way that the profit % andthe C

1.	Sandy sold an article at Rs.96 insuch a way that the profit % andthe C.P. are numerically the same. Ifhe sells it at twice the profit % thanthe last profit %, then find the newselling price?
Answer» Suppose cost price of watch =xThen, profit percentage =x%Selling price=x(100+x)/100 Given that selling price is Rs.96. Therefore,x(100+x)/100=96 100x+x²=9600 x²+100x−9600=0 (x+160)(x−60)=0 x=60(taking +ve value) i.e., cost price = Rs.60profit percentage = 60% If he sells it at twice the percentage profit, i.e., at 120%,new selling price=60×(100+120)/100 =60×220/100 = 6 × 22 = 132 Like my answer if you find it useful!

Sandy sold an article at Rs.96 insuch a way that the profit % andthe C.P. are numerically the same. Ifhe sells it at twice the profit % thanthe last profit %, then find the newselling price?

Answer»

Suppose cost price of watch =xThen, profit percentage =x%Selling price=x(100+x)/100

Given that selling price is Rs.96. Therefore,x(100+x)/100=96

100x+x²=9600

x²+100x−9600=0

(x+160)(x−60)=0

x=60(taking +ve value)

i.e., cost price = Rs.60profit percentage = 60%

If he sells it at twice the percentage profit, i.e., at 120%,new selling price=60×(100+120)/100

=60×220/100

= 6 × 22 = 132

Like my answer if you find it useful!