Question

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.​

Answer 1

Answer:

Hence, option A is correct. 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.

Answer 2

Answer:

The value of x is 20%.

Explanation:

STEP:1 The initial weight to be purchased and sold is 1000gm, however he purchased x% more and sold just 800gm.

STEP:2 As a result, he purchased 1000 (1+ $\frac{x}{100}$) gms and sells just 800 gms for every 1000 gms purchased.

STEP:3 He also sells at 10% over cost, thus we may say he sells just 800 ($\frac{10}{11}$) gms rather than 800gms.

STEP:4 So he sells just 800 ($\frac{10}{11}$) gms for every 1000 (1 + $\frac{x}{100}$) gms purchased, earning him a 65 percent profit.

STEP:5 800 × ($\frac{10}{11}$) ($\frac{165}{100}$) = 1000(1 + $\frac{x}{100}$)

STEP:6 We get, x = 20%

Hence, correct answer is 20%