Question

A person sold 20% of his article at 5% loss, 7/15 part at 10% profit, at what profit/loss percent he has to sell the remaining articles, so that he will get overall 10% profit​

Answer 1

Step-by-step explanation:

let the total articles be x

20% of x at 5%loss =

20/100 × x at 5%loss=

1/5x at 5% loss

7/15 of x at 10% profit =

7/15x at 10% profit

remaining = x-(1/5x+7/15x) = x-(3+7/15 x)

= x-(10/15x) = x-2/3x

=x/3

let he sell x/3 at profit of a%

overall profit= 10%

=>( x/5×(-5) + 7x/15 ×10 + ax/3) ÷x=10

= -1 + 14/3 +a/3 =10

= 14+a/3 =11

=14+a =33

= a= 33-14 = 19%

he should sell remaining at 19% profit