Question

by selling a pen for rupees 195 a man loses one sixteenth of what it cost him find the cost price and loss percent

Answer 1

Please find below the solution to the asked query :

SP = Rs 195 Loss = 116CPSo loss % = [lossCP×100]%=[CP/16CP×100]% =6.25 %Also loss % = [CP−SPCP×100]%⇒6.25 = CP−195CP×100⇒6.25CP= 100CP−19500⇒93.75 CP = 19500⇒CP =1950093.75= Rs.  208


Hope this would clear your doubt about the 

Answer 2

Let the Cost Price be Rs a

Loss = a / 16

Selling price = Cost Price - Loss

=> 195 = a - a/16

=> 195 = 15a/16

=> a = 195 × 16 / 15

=> a = 13 × 16

=> a = 208

Cost Price = Rs 208

Loss = 208 / 16 = Rs 13

Loss percent = Loss × 100 / CP

= 13 × 100 / 208

= 100 / 16

= 25 / 4

= 6.25 %