Question

The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33%, what is the increased selling price?

Answer 1

Given : Original M.P = Rs. 400

Let C.P be x

$\Rightarrow x+33.33$% of $x=400$

$\Rightarrow 100x+33.33x=400\times 100$

$\Rightarrow x=\frac{40000}{133.33}=Rs300$ (approx)

Let the initial profit by y, so

S.P = 300+y

Nwe profit = 2y and

new S.P= (300+y)+16.66% of (300+y)

$=(300+y)(1+\frac{16.66}{100})$

$=(300+y)\times \frac{7}{6}$

Now, $350+\frac{7y}{6}-300=2y\Rightarrow \frac{5y}{6}=50\Rightarrow y=60$

Original profit = Rs 60, New profit = 2y= Rs 120

So, increased S.P= 300+120= Rs 420.