Preetam bought an article for ₹344 and sold it to Preeti at a loss of 20%. With this amount, Preetam bought another article and sold it at a gain of 56%. What is Preetam's overall gain percentage?

Correct option is B

Given:

Preetam’s first cost price (CP₁) = ₹344
Loss on first article = 20%
He uses the selling amount to buy the second article.
Gain on second article = 56%
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Formula:

Selling Price after loss = CP × (1 − Loss%)
Selling Price after gain = CP × (1 + Gain%)
Overall Gain % = [(Total SP − Total CP) ÷ Total CP] × 100

Solution:
Step 1: Find selling price of the first article

Loss = 20%
SP₁ = 344 × (1 − 0.20)
SP₁ = 344 × 0.80
SP₁ = ₹275.20

This amount becomes the CP of the second article.

Step 2: Find selling price of the second article

Gain = 56%
SP₂ = 275.20 × (1 + 0.56)
SP₂ = 275.20 × 1.56
SP₂ = ₹429.312

Step 3: Overall gain percentage

Total CP = 344
Total SP = 429.312

Gain = 429.312 − 344 = ₹85.312

Overall Gain% = (85.312 ÷ 344) × 100
≈ 24.8%

Final Answer: 24.8%