Question

A shopkeeper proposes to sell his goods at cost price but uses a weight of 850gms instead of a kilogram weight. What is his profit percentage?

• A. \(17^{\frac{14}{17} } \)%
• B. \(17^{\frac{11}{17} } \)%
• C. \(17^{\frac{16}{17} } \)%
• D. \(17^{\frac{12}{17} } \)%
• E. None of these

Answer 1

Answer: (E)

The correct answer is option (E):

None of these

Let's break down this profit percentage problem step-by-step. The shopkeeper is pretending to sell at cost price, meaning he's selling for the same amount he paid for the goods. However, he's using a faulty weight.

First, let's consider the actual cost versus the perceived sale. The shopkeeper *claims* to be selling 1000 grams (1 kilogram). However, he's *actually* giving the customer only 850 grams.

Let's assume the cost price of 1 gram of the goods is 'C'.

The shopkeeper is selling 850 grams, so his *actual cost* is 850C.
However, he is charging for 1000 grams, so his *selling price* based on the faulty weight is 1000C.

Profit is calculated as (Selling Price - Cost Price). In this scenario, the profit is (1000C - 850C) = 150C.

Profit percentage is calculated as (Profit / Cost Price) * 100.
The profit percentage in this case is (150C / 850C) * 100 = (150/850) * 100 = (3/17) * 100 = (300/17) %.

Calculating 300/17, we find it is approximately 17.65%. This can be represented as 17 and 11/17%. Looking at the provided options, this does not match any of them. The given options are trying to represent the profit percentage as a mixed number with a base of 17.

It appears the options have miscalculated. The correct answer is therefore, None of these.