Question

A man buys two watches at rs.540. he sells one watch at 10% profit and other at 15% loss. he didn't gain any profit or loss. what was the cost of the watch.

Answer 1

CP= Rs 540                 Profit % =10                        loss%=15
To find SP when CP and Profit% is known
SP = [(100 + Profit%) / 100] × CP
=((100+10)/100)×540
=(110/100)* 540
=Rs 594
To find SP when CP and Loss % is known
SP = [(100 – Loss %) / 100]*CP
=((100-15)/100)*540
=(85/100)*540
=(17*54)/ 2
=17*27
=Rs 459
Total CP=Rs1080       
Total SP= Rs 594+ 459=1053
SP of 1 watch=1053/2=Rs526.50
Profit on both the watch= CP-SP=1080-1053=Rs 27