A salesman defrauds by means of a false measure to the tune of 20% in buying and also defrauds to the tune of 25% in selling. Find his overall % gain.
35%
40%
45%
50%
Answers
Answer:
let s assume 100
100%of 20=20
defrauds during buying =120
120%of25=30
defrauds during selling =150
150-100=50
ans=50%
Step-by-step explanation:
salesman overall gain = 60 % by Defrauding 20% in buying & 25% in selling in Weighing,
Step-by-step explanation:
Let say Cost Price of 1 kg = C Rs
A salesman defrauds by means of a false measure to the tune of 20% in buying
=> Sales man got 1 + (20/100)1 = 6/5 kg in C Rs
=> Cost Price per kg = C /(6/5) = 5C/6 Rs
Selling Price of 1 kg also = C Rs
defrauds to the tune of 25% in selling ( if in Weighing)
=> He sold = 1 - (25/100)1 = 3/4 kg in Rs C
=> Selling Price of 1 kg = C/(3/4) = 4C/3 Rs
Profit = 4C/3 - 5C/6
= 3C/6
= C/2
Profit % = 100 * (C/2) /(5C/6) = 60%
his overall % gain = 60 %
defrauds to the tune of 25% in selling ( just in Monetary term)
Then Selling Price of 1 kg = C + (25/100)C = 5C/4
Profit = 5C/4 - 5C/6 = 5C/12
his overall % gain = 100* (5C/12)/(5C/6) = 50%
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