Question

By what per cent must the cost price be raised in fixing the sale price in order that there may be a profit of 20% after allowing the commission of 10%.

Plzz solve this step by step.

Answer 1

let CP =x

so SP without commission=x+20%x

SP with commission=10%(x+20%x)+(x +20%x)

=(10x/100+ 20x/200) +(x+x/5)

=×/10 +x/10 +x+x/5=2x/5 +x=7x/5

% rise in CP =(7x/5 -x)/x ×100

=2/5×100%=200/5%=40%

Answer 2

Step-by-step explanation:

Let the Cost Price ( CP ) = 100

Then, Selling Price ( SP ) = 120

Let the marked price = y.

Then, 90% of y = 120

90/100 × y = 120

⇒ y = 120 × 100/90

= 400/3

⇒ y = 133 1/3%

Hence, the marked price is 33 1/3% above the cost price