Question

40% of particular quantity of commodity is sold at 5% loss , 30% is sold at 10% profit and rest is sold at a loss of 25% if there is a total loss of 4550 . then the total worth of commodity sold is?​

Answer 1

Let say Cost Price of commodity = Rs C per qty

Total Quantity of commodity  = Q  

Total Worth of commodity = QC

40% Sold at 5 % loss

(40/100)Q * C( 1 - 5/100) =  38QC/100

30% sold at 10 Profit

(30/100)Q * C( 1 + 10/100) =  33QC/100

Rest = Q - (40/100)Q - (30/100)Q  =  (30/100)Q

Sold at 25% loss

(30/100)Q * C ( 1 - 25/100)  = 22.5QC/100

Total Sold in  38QC/100 + 33QC/100 + 22.5QC/100

= 93.5QC/100

Loss = QC - 93.5QC/100  = 6.5QC/100

6.5QC/100 = 4550

=> QC = 70000

Worth of commodity was 70000

Sold in  = 65450