Dishonest dealings - Quant Study Notes for Competitive Exams

What is the concept of dishonest shopkeepers?

Dishonest Shopkeepers are those when a dealer uses different cheat tricks with customers to fool them. Some shopkeepers use different ways to gain profit illegally by cheating with customers. He might use false weights, report the lower weight of his weighing instrument, etc. This will be profitable for the shopkeeper but would cause loss to the buyer.

What is false weight in profit and loss?

A shopkeeper uses a false scale to sell his goods to the customer. The value of a false scale would be lower than the true scale, so the shopkeeper gains profit by selling a lesser quantity of goods to the customer. 

If a shopkeeper sells his goods at a% loss on cost price but uses ‘b’ g instead of ‘c’ g, then what will the formula for percentage profit or loss?

Percentage profit or loss is: [(100 - a) × c/b - 100]%

What is the formula for false weight profit?

Profit(%) = [(true weight - false weight) / false weight] × 100%

What would happen if he did not sell his product at cost price and used a false scale too?

Let him not sell his product at CP and gains/loss of x%. By combining these two effects the dealer would get a gain of G% in selling his goods to the consumer by using false weight.

(100 + G) / (100 + x) = (true length) / (false length)