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?
A. Rs. 600
B. Rs. 420
C. Rs. 360
D. Rs. 300
Solution (By Examveda Team)
Given Original Marked Price = Rs. 400
Let CP was = X.
Now,
X + 33.33% of X = 400
100X + 33.33X = 400 *100
X = 40000 /133.33 = Rs. 300 (Aprox.)
Let initial Profit was y, So
SP = 300 + y
New Profit = 2y and
New SP = (300 +y) + 16.66% of (300 +y) = (300 +y)*7/6
Now,
350 + 7y/6 -300 = 2y
5y/6 = 50
y = 60
Original Profit = Rs. 60
New Profit = 2y = Rs. 120
So, New SP = 300 + 120 = Rs. 420
12(sp-300)= 7sp-1800
12sp-3600= 7sp-1800
Sp= 360
Sp1= 7/6)*360= 420
Original M.P.= 400
Hence, C.P.=3/4*400=300
S.P increased by 16.66% whose fractional value is 1/6. So, if previous S.P was 6 then it is 7 now. So, C.P. should be 5 because previous profit is (6-5)=1 and current profit is (7-5)=2 which is double of the previous profit.
Now the value of 5 units is given which is 300.
Hence the value of 7 units(which is the increased S.P.) is 420 (Ans)
We have to consider all the scenario. Please, read question twice, you will understand it properly.
But one things here admin, original marked price 400. but it has increased 25%. why u did not do that????
Option?
420