Question

19. The marked price of an article is 50% above its cost price. When marked
price is increased by 20% and selling price is increased by 20%, the profit
is doubled. If original marked price was Rs 600, the original selling price
was
A) 400
B) 450
C) 500
D) 580​

Answer 1

$\star{ \large{ \underline{ \underline{ \pink{\rm{Correct \: Question :-}}}}}}$

• If the marked price of an article is 50% above the cost price,when marked price is increased by 20% and selling price is increased by 20% then the profit is double. If the original marked price is 300 then what is the original selling price ?

$\star{ \large{ \underline{ \underline{ \red{\rm{ Answer :- }}}}}}$

• Original selling price was Rs. 250

$\star{ \large{ \underline{ \underline{ \purple{\rm{ Given :- }}}}}}$

• MP = 300

$\star{ \large{ \underline{ \underline{ \orange{\rm{Explanation :- }}}}}}$

MP was 50% above the cost price.

So,

• CP = 200 [As 200 + 50% of 200 = 300]

Let the SP was X.

• MP = 300 + 20% of 300 = 360.So,

• SP = X +20% of X = 1.2X

Now,

$\bigstar{ \underline{According \: to \: question,}}$

$\sf \implies1.2x-200 = 2 \times (x -200)$

$\sf \implies \: 1.2x - 200 = 2x- 400$

$\sf \implies \: 0.8x = 200$

$\sf \implies \: x = \dfrac{200}{0.8}$

${\implies{ \large{ \underline{ \boxed{ \pink{ \sf{\: x = 250.}}}}}}}$

Thus, original selling price was Rs. 250