Question

Renu sold an article a a loss of 8%. Had she bought it at 10% less and sold it for rupees 36 more, she would have gained 20%. Find the cost price of the article.​

Answer 1

Answer:

Let the C.P = Rs. 100

Loss = 8%

S.P = C.P*(100-L)/100 

       = 100*92/100 = Rs.92

Now, if she had bought it for 10% less

C.P = 100 - 100*10/100 = Rs.90

Gain = 20%

S.P = C.P*(100+P)/100 = 90*120/100 = Rs.108

Now we can see that the difference in S.P's on assumed C.P(100 Rs.) = 108 -92 = Rs. 16

Actual S.P difference has to be Rs.36

16(difference)==== 100(C.P)

36(difference)==== X (C.P)

X = 36*100/16 = Rs. 225

Hence C.P of article = rs.225