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Kambli is a very shrewd and dishonest spice merchant. Being an electronics genius and a gadget guru, he adjusts the electronic weighing scale at his godown in such a manner that the error percentage of the scale is directly proportional to the displayed weight (in kg) of the commodity being transacted. However, to maintain his falsely portrayed honest image and goodwill in the market, he gives a discount of 10% on every transaction. The weighing scale displays 5 kg for 4 kg. If he sells the commodity at its cost price, what is the actual profit percentage when the displayed weight is 10 kg?
  • a)
    35
  • b)
    30
  • c)
    50
  • d)
    75
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Kambli is a very shrewd and dishonest spice merchant. Being an electro...
To solve this problem, let's break it down into steps:

1. Understanding the given information:
- Kambli adjusts the electronic weighing scale at his godown.
- The error percentage of the scale is directly proportional to the displayed weight.
- Kambli gives a discount of 10% on every transaction.
- The weighing scale displays 5 kg for 4 kg.

2. Calculating the actual weight:
- Let's assume the actual weight of the commodity is 'x' kg.
- According to the given information, the weighing scale displays 5 kg for 4 kg.
- Therefore, the displayed weight is (5/4)*x kg.

3. Calculating the error percentage:
- The error percentage is directly proportional to the displayed weight.
- Let's assume the error percentage is 'p'.
- Therefore, the error in weight is (p/100)*(5/4)*x kg.

4. Calculating the adjusted weight:
- The adjusted weight is the sum of the displayed weight and the error in weight.
- Therefore, the adjusted weight is (5/4)*x + (p/100)*(5/4)*x kg.

5. Calculating the selling price:
- Kambli sells the commodity at its cost price.
- Therefore, the selling price is the same as the adjusted weight.

6. Calculating the cost price:
- The cost price is the selling price after a discount of 10%.
- Therefore, the cost price is (90/100)*(adjusted weight) kg.

7. Calculating the profit percentage:
- Profit = Selling price - Cost price.
- Profit percentage = (Profit / Cost price) * 100.

8. Substituting the values:
- Let's consider the displayed weight as 10 kg.
- Therefore, the actual weight is (4/5)*10 = 8 kg.
- Let's assume the error percentage is 10% for simplicity.

9. Calculating the adjusted weight:
- The adjusted weight = (5/4)*8 + (10/100)*(5/4)*8 = 10 kg.

10. Calculating the cost price:
- The cost price = (90/100)*(10) = 9 kg.

11. Calculating the profit percentage:
- Profit = 10 - 9 = 1 kg.
- Profit percentage = (1/9)*100 ≈ 11.11%.

Therefore, the actual profit percentage when the displayed weight is 10 kg is approximately 11.11%. None of the given answer options match this result. Hence, the given answer options are incorrect.
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Kambli is a very shrewd and dishonest spice merchant. Being an electronics genius and a gadget guru, he adjusts the electronic weighing scale at his godown in such a manner that the error percentage of the scale is directly proportional to the displayed weight (in kg) of the commodity being transacted. However, to maintain his falsely portrayed honest image and goodwill in the market, he gives a discount of 10% on every transaction. The weighing scale displays 5 kg for 4 kg. If he sells the commodity at its cost price, what is the actual profit percentage when the displayed weight is 10 kg?a)35b)30c)50d)75Correct answer is option 'A'. Can you explain this answer?
Question Description
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