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A dishonest trader says to customers that he sells his goods at a cost price, but he uses a false weight and gains 12.5% as profit. How many grams doe
Question

A dishonest trader says to customers that he sells his goods at a cost price, but he uses a false weight and gains 12.5% as profit. How many grams does he use to weigh 1 kg?

A.

900 g

B.

880.5 g

C.

850 g

D.

888.8 g

Correct option is D

Given:
A dishonest trader says to customers that he sells his goods at a cost price, but he uses a false weight and gains 12.5% as profit.
Formula Used:
Gain % = [(Error)/(True value – Error)] × 100
Solution:
12.5 % = [Error/(1000 – Error)] × 100
=> 1/8 = [Error/(1000 – Error)]
=> 8Error + Error = 1000
=> 9Error = 1000
=> Error = 1000/9
So, the trader gives 1000 - 1000/9
=> [9(1000) - 1000]/9
=> (9000 - 1000)/9
=> 888.8 g

Alternate Method:

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