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