Arun sold 25% of his handbags at a profit of 10%, 33.33% of the remaining handbags sold at a loss of 10%

Arun sold 25% of his handbags at a profit of 10%, 33.33% of the remaining handbags sold at a loss of 10% and the remaining handbags sold at a profit of 20%. If Arun gets an overall profit of Rs.400, then find the total cost price of handbags?

A. Rs.2000

B. Rs.4000

C. Rs.1000

D. Rs.1600

E. None of these

Sol:

Let the total number of handbags=12

25% of the total number of

handbags=12*25/100=3

33.33% of the remaining handbags=(12-

3)/3=9/3=3

Remaining hand bags=9-3=6

Let CP=100

Overall profit percentage=[(3*110+3*90+6*120)-

100*12]/1200*100

=(1320-1200)/1200*100

=120/12=10%

CP=100*400/10=Rs.4000

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