A bicycle was sold at 12% profit.Had it been sold for ₹16 more ,the profit would have been 20%.Find the selling price of the bicycle.

Asked by chavanchetana11 | 23rd Feb, 2019, 02:23: PM

Expert Answer:

Let the CP be x
Hence, SP = begin mathsize 16px style straight x plus fraction numerator 12 straight x over denominator 100 end fraction equals fraction numerator 112 straight x over denominator 100 end fraction end style
SP = begin mathsize 16px style straight x plus fraction numerator 20 straight x over denominator 100 end fraction equals fraction numerator 120 straight x over denominator 100 end fraction end style
According to the question,
begin mathsize 16px style fraction numerator 120 straight x over denominator 100 end fraction minus fraction numerator 112 straight x over denominator 100 end fraction equals 16 end style
Simplifying we get,
x = Rs. 200
CP is Rs. 200, then 
SP = 200 + begin mathsize 16px style 200 cross times 12 over 100 end style = Rs. 224
200 + begin mathsize 16px style 200 cross times 16 over 100 end style= Rs 232

Answered by Sneha shidid | 23rd Feb, 2019, 08:05: PM