Question

a grocer bought sugar worth of 4500 he sold one third of it at a gain of 10% at what gain percent must the remaining sugar be sold to have a gain of 12% on the whole


Step by step please

Answer 1

to gain 12% margin on whole cp of 4500 the selling price should be =4500*12/100
sp=5040


so eq becomes

let rest 2/3 rd quantity be sold at profit of x%

5040=4500*1/3*(100+10)/100 +4500*2/3*(100+x)/100

simplifying
5040=15*110+30(100+x)
5040=1650+3000+30x
5040=4650+30x
390/30=x
13=x


answer is 13%