NIELIT 2018-5

Question

Suppose a fraud shopkeeper sells rice to the customer at the cost price, but he uses a false weight of $900$ gm for a kg then his percentage gain is ______

• A. $5.75 \%$
• B. $5.56 \%$
• C. $5.20 \%$
• D. $5.00 \%$

Answer 1

I think that given options are wrong.

formula that you can remember, in case the shopkeeper sells at the cost price, is:
Gain Percentage =ERROR/TRUE WEIGHT-ERROR  X 100

100/1000-100 X 100=11.11%

alternatively,

Suppose 1000 gram costs = 1000 Rs
So, 900 grams = 900 Rs
So, he saved 100 Rs out of 1000 Rs

So profit: 100/900*100 = ~11%

ANOTHER VERY SIMPLE FORMULA

GAIN % = [(TRUE WEIGHT- FALSE WEIGHT)/ FALSE WEIGHT] X 100 

 

 

 

Comments

Yeah all the options are wrong,a bit simple one I unnecessarily got stuck in this question

Answer 2

Options are not correct.

Let 1000 gm rice cost 100 rs

He uses false wt of 900gm instead of 1000 gm.So profit is 100gm

1000gm-100rs

1gm-100/1000rs

100gm-10rs

%gain=(profit*100)/CP for 900 gm rice

CP for 900 gm rice:.  1gm-100/1000rs

                                       900gm-90rs

%gain=(10*100)/90=11.11