A dishonest dealer professes to sell his goods at cost price by using ...
Let us assume the dealer purchases 1000gm at Rs. 1000
Let the dealer purchases N gm at Rs. 1000
Gain percentage = 25%
Then,
⇒ 25 = [(1000 - N)/N] × 100
⇒ N = 4000 - 4N
⇒ N = 800
∴ He uses weight of 800 gm.
View all questions of this test
A dishonest dealer professes to sell his goods at cost price by using ...
Problem Analysis:
Let's assume the cost price of the goods is 'x' rupees per kilogram. According to the question, the dishonest dealer gains 25% by using a false weight.
Solution:
To solve this problem, we can use the concept of profit percentage. We know that profit percentage is given by the formula:
Profit Percentage = (Profit/Cost Price) * 100
In this case, the dishonest dealer gains 25% by using a false weight. So, the profit percentage will be 25%. We can now calculate the cost price using the formula:
Cost Price = (Profit / Profit Percentage) * 100
Calculation:
Let's calculate the cost price using the above formula:
Cost Price = (25 / 25) * 100
= 100
So, the cost price of the goods is 100 rupees per kilogram.
Now, let's calculate the weight the dealer uses to weigh a kilogram of goods.
Let's assume the weight the dealer uses to weigh a kilogram is 'w' grams.
According to the question, the dealer gains 25% by using a false weight. So, the weight the dealer actually uses to weigh a kilogram is (w - 25% of w) grams.
Given that the dealer uses a false weight to gain 25%, we can write the equation:
(w - 25% of w) = 1000 grams
Simplifying the equation, we get:
w - (0.25w) = 1000
0.75w = 1000
w = 1000 / 0.75
w = 1333.33 grams
So, the weight the dealer uses to weigh a kilogram is approximately 1333.33 grams.
Answer:
The correct answer is option 'C', 800 grams.