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Neha and Sneha each own a boutique. They both sell a dress of Rs 3200, neha computes profit on cost price and sneha computes on selling price. They end up making profit of 20% respectively. By how many Rs is sneha’s profit more than neha?

Neha and Sneha each own a boutique. They both sell a dress of Rs 3200, neha computes profit on cost price and sneha computes on selling price. They end up making profit of 20% respectively. By how many Rs is sneha’s profit more than neha? Correct Answer Rs 106.88

Given:

S.P. = Rs 3200

Profit% = 20%

Formula used:

S.P. = C.P. × (1 + (Profit%/ 100))

Calculation:

Profit earned by sneha = 3200 × 20/ 100

⇒ Profit earned by sneha = Rs 640

Now, profit of Neha = 20% of C.P.

Let’s find neha’s profit on S.P.

⇒ For Rs 100 S.P. = Rs 120 (∵ 20% profit on C.P.)

⇒ Profit on S.P. = ((120 – 100)/ 120) × 100

⇒ Profit on S.P. = 20 × 100/ 120

⇒ Profit on S.P. = 16.66%

⇒ Profit on S.P. by neha  = 3200 × 16.66/ 100

⇒ Profit on S.P. by neha ≈ 533.12

⇒ Profit difference = 640 – 533.12

∴ Profit difference is Rs 106.88

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