A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs 10.50 less, he would have gained 30%. Find the cost price (in rupees) of the article.
A. 50
B. 20
C. 25
D. 35
Answer: Option A
Solution(By Examveda Team)
Let C.P =100
Gain =25%
S.P = 100 + 25% of 100 = 125
Supposed C.P =80
Gain =30%
S.P =(130*80)/100=104
Difference =(125-104) =21
Now comparing difference
21 on 100
1 on 100/21
So, 10.50 on = (10.50*100)/21 = 50.
So, required CP = Rs. 50.
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ready u r method was just amazing
let cp=x
sp=125 of cp
sp=5x/4
-------
2nd assumtion "If he had bought it at 20% less" consider it for 80%
cp2=8x/10
sp2=5x/4-10.50
use formula of g%=(g/cp2*100)
by this u get value of g=24x/100
use formula g=sp2-cp2
then derive the value of x
x=50,i.e cp=50
50
In the 1st case Investment(C.P.) is 100% and the selling Price is 125%
In the 2nd case S.P. is 80*130/100=104%
125%-104%=10.50 =====>21%-------Rs.10.50
100%-------?
On cross multiplication C.P.= 10.50*100/21
= Rs.50