A table is sold for ₹5,862 with 20% profit. The gain or loss percentage (to one decimal place) if it had been sold at ₹5,000, is:

Correct option is B

Given:

Selling Price (SP₁) = ₹5,862

Profit Percentage = 20%

New Selling Price (SP₂) = ₹5,000

Concept Used:

$$\text{CP} = \frac{SP}{1 + \frac{\text{Profit \%}}{100}}\\ \ \\\text{Gain\%} = \frac{\text{New SP} - CP}{CP} \times 100$$​

Solution:

Cost price for 20% : CP

$$= \frac{5862}{1.2} = 4885$$  

Now,  Gain % 

$$\text{Gain\%} = \frac{5000 - 4885}{4885} \times 100\\ \ \\= \frac{115}{4885} \times 100 \approx 2.4\%$$​

Gain = 2.4%