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Rama bought an article and sold it to her friend Bhavik at 15% profit. After few days, Bhavik sold the article back to Rama at 15% loss. What will be the total profit or loss percentage that Rama will get?

Rama bought an article and sold it to her friend Bhavik at 15% profit. After few days, Bhavik sold the article back to Rama at 15% loss. What will be the total profit or loss percentage that Rama will get? Correct Answer 17.25% profit

Given:

Profit at which Rama sold to Bhavik = 15%

Loss at which Bhavik sold to Rama = 15%

Concept Used:

Cost price is always 100%.

Formula Used:

Profit% = (SP - CP)/CP × 100

Loss% = (CP - SP)/CP × 100

where CP → Cost Price, SP → Selling Price

Calculations:

Let the cost price of the article be Rs. 100

The selling price of the article for Rama

⇒ Rs. 100 × (115/100) = Rs. 115

The selling price of the article for Bhavik 

⇒  Rs. 115 × (85/100) = Rs. 97.75

⇒ Rama's Profit percentage

⇒ ((115 - 97.75)/100) × 100 

⇒ 17.25%

∴ The total profit percentage that Rama will get is 17.25%.

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