Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Profit and Loss

Question:

A dishonest dealer is selling sugar at ₹40 per kg and pretending that he is selling it at a loss of ₹5 per kg but he actually gives 800 g instead of 1 kg, using a faulty weight. What is his actual profit or loss percent?

Options:

Gain, 11%

Gain, 11$\frac{1}{9}$%

Loss, 10$\frac{1}{9}$%

Loss, 9$\frac{1}{9}$%

Correct Answer:

Gain, 11$\frac{1}{9}$%

Explanation:

SP = Rs. 40 /kg, used faulty weight and gave 800g in place of 1 kg

It is given  in the question that he is pretending to sell a kg of sugar at a loss of Rs. 5 per kg

CP - SP = 5

CP = 45 per Kg (Since, SP = 40 per kg)

He is using faulty weight and gives 800g instead of 1 kg,

Suppose he sells a 1 kg sugar to a customer,

The CP of the 1 kg of sugar = Rs. 45 

But he actually gave 800g to a customer so the cost paid by the dealer to purchase that sugar will be,

 The CP of the 800 kg of sugar = \(\frac{45}{1000}\)  ×  800 = 36

Profit % = \(\frac{40 - 36}{36}\)  ×  100 = Gain, 11$\frac{1}{9}$%