Question

A shopkeeper sells one-third of his goods at a profit of 10%, another one-third at a profit of 20%, and the rest at a loss of 6%.What is his overall profit percentage ?​

Answer 1

Answer:

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Step-by-step explanation:

Let the shopkeeper buy 300g for Rs.300. Now he sells 100g for Rs.110, another 100g for Rs120, and the rest 100g for Rs94.

Therefore, the total amount he receives = Rs.110 + Rs.120 + Rs.94 = 324.

Therefore, the shopkeeper spends Rs.300 and gets back Rs.324.

Therefore, his profit percentage = 24/300x100 % = 8%

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Answer 2

Step-by-step explanation:

Let the CP of the total goods be = Rs. 300

Then,

CP of 1/3rd of good=300/3=Rs.100

SP of 1/3rd goods sold at 10% profit = CP(100+Profit%)/100

                                                            = 100(110)/100

                                                            = Rs.110

SP of 1/3rd goods sold at 10% profit = CP(100+Profit%)/100

                                                            = 100(120)/100

                                                            = Rs.120

SP of 1/3rd goods sold at 6% loss = CP(100-Loss%)/100

                                                            = 100(94)/100

                                                            = Rs.94

Then,

Total SP= 110+120+94=Rs.324

Total CP= Rs.300

Then,

Profit%=(SP-CP) x 100/CP

            = 24*100/300

            = 8 %

Therefore,his overall profit percentage is 8%