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A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. He also uses a 900 gram weight instead of a 1 kilogram weight. Find his percentage profit due to these maneuvers?

Answer & Solution
Correct Answer: Option C
He sells only 900 grams when he takes the money for 1 kg.
and
he sells at a 8% profit (20% markup, 10% discount)
Hence, his selling price is Rs. 108 for 900 grams
% profit = $$\frac{{18}}{{90}} \times 100$$   = 20%
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8 Comments
Moaz Ali
Moaz Ali 2 years ago
This could be done by a ratio of cp to sp
3 senarios cp:sp
1st 10:12 (20 percent profit)
2nd 10:9 (10 percent discount)
3rd 900:1000 (900 cost selling 1000)
Overall- (10*10*900/12*9*1000)
Simply - cp:sp = 10:12
Now profit 12-10=2
Profit percentage - (2/10)*100=20 percent
So, Answer C- 20 percent
Rupashree Mohanty
Rupashree Mohanty 5 years ago
Let cp =1000
Sp=1080
1000=1080, but he sold 900=1080
Then profit 180
P%=180/900*100=20%
Md Helal
Md Helal 8 years ago
Deduction in weight : ( 100*100)/1000 = 10%
Applying multiplying factor concept:
100*(6/5)*(9/10)*(10/9) = 120
So profit = ( 120 - 100 ) = 20%
Solved by : Md.Helal Uddin
Dipanshu Sharma
Dipanshu Sharma 8 years ago
let the cost be 100rs per Kg (ie rs.100/1000g)
he sells only 900gms means his real cost is 90rs/900gm
his selling price is 100+20=120-12=108
profit=108-90=18
profit %= 18/90*100=20%answer
Rupali Gupta
Rupali Gupta 9 years ago
900 gm is sold at Rs. 1080..??? Plz explain it...
Bikash Roy
Bikash Roy 10 years ago
Profit = (18/90) * 100 ?? Plz explain it.
Anil Rolta
Anil Rolta 10 years ago
Let CP = ₹ 1/gram;
Then, he sells 900 g is ₹ 1080;
While the CP of 900 grams is ₹ 900.
% profit = (180*100)/900 = 20%.
Azhar Mahmood
Azhar Mahmood 10 years ago
Profit = (18/90) * 100 ?? Plz explain it.