A dishonest salesman buys x more grains than what he pays for while selling he uses counterfeit weig...........

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A dishonest salesman buys x% more grains than what he pays for ,while selling he uses counterfeit weight which measures 800 grams for every 1000 grams. If he sells the item at 10% above the cost price and earn an overall profit of 65%, then find the value of x.

20%

25%

35%

15%

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Explanation:

The original weight to be bought and sold is 1000gm but he bought x% more and sold only 800gm.
So he bought 1000 × (1+ x/100) gms and sells only 800gms for every 1000 gms
He further sells at 10% above the cost price,
so we can say he sells only 800 × (10/11) gms instead of 800gms
So he sells only 800 × (10/11) gms for every 1000 × (1 + x/100) gms bought which earns him a profit of 65%.
800 × (10/11) (165/100) = 1000(1 + x/100)
We get, x = 20%