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A dishonest dealer professes to sell his goods at cost price by using a false weight and thus gains 25%. For weighing a kilogram, he uses a weight of:
  • a)
    860 gm.
  • b)
    940 gm.
  • c)
    800 gm.
  • d)
    900 gm.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
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.
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Most Upvoted Answer
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.
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A dishonest dealer professes to sell his goods at cost price by using a false weight and thus gains 25%. For weighing a kilogram, he uses a weight of:a)860 gm.b)940 gm.c)800 gm.d)900 gm.Correct answer is option 'C'. Can you explain this answer?
Question Description
A dishonest dealer professes to sell his goods at cost price by using a false weight and thus gains 25%. For weighing a kilogram, he uses a weight of:a)860 gm.b)940 gm.c)800 gm.d)900 gm.Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A dishonest dealer professes to sell his goods at cost price by using a false weight and thus gains 25%. For weighing a kilogram, he uses a weight of:a)860 gm.b)940 gm.c)800 gm.d)900 gm.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dishonest dealer professes to sell his goods at cost price by using a false weight and thus gains 25%. For weighing a kilogram, he uses a weight of:a)860 gm.b)940 gm.c)800 gm.d)900 gm.Correct answer is option 'C'. Can you explain this answer?.
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