If manoj purchased some goods for rs. 1050, and sold one-third of these goods at a loss of 12%, then at what gain per cent should the remainder goods be sold to gain 18% on the whole transaction?
Answers
Hey Dear,
◆ Answer -
33% gain percent
◆ Explaination -
To get 18% profit on whole transaction -
Total selling price = cost price × (100+18)/100
Total selling price = 1050 × 118/100
Total selling price = 1239 Rs.
By selling 1/3rd goods at 12% loss he got -
Received = cost price × (100-12)/100
Received = 1/3 × 1050 × (100-12)/100
Recieved = 350 × 88/100
Received = 308 Rs.
Money that need to be earned is -
Required = total selling price - money recieved
Required = 1239 - 308
Required = 931 Rs.
Profit percentage required on remaining transaction -
Selling price = cost price × (100+profit%)/100
931 = 2/3 × 1050 × (100+profit%)/100
100 + profit% = 931 × 100 / 700
100 + profit% = 133
Profit% = 133 - 100
Therefore, remaining goods should be sold at a profit of 33 %.
Thanks ...