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A person purchased a phone and got a discount of 5% from dealer. He sold it at a profit of 10% on his purchase price. What is his percentage on actual price of the phone?
1. 2 \(\frac{1}{2}\)
2. 3 \(\frac{1}{2}\)
3. 4 \(\frac{1}{2}\)
4. 5%

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Correct Answer - Option 3 : 4 \(\frac{1}{2}\)

Given:

Discount got from dealer is 5%

Sold it at 10% profit

Calculation:

SP = (100 – D)/100 × MP

P% =  (P)/CP × 100

P = SP – CP

Where, 

MP is marked price

SP is selling price

CP is cost price

D is discount 

P% is profit percent

Calculation:

Let the initial cost price of a phone be Rs. 1,000

Person got 5% discount on this,

Cost price for a person/Selling price for a dealer,

⇒ (100 – 5)/100 × 1,000

⇒ 95/100 × 1,000

⇒ 950

Now he sold in at 10% profit on this price,

⇒ (100 + 10)/100 × 950

⇒ 110/100 × 950

⇒ 1,045

Now profit on actual price is,

⇒ 1,045 – 1,000 = 45

Profit percent on actual price is,

⇒ 45/1000 × 100

⇒ 4.5

∴ Profit percent on actual price is 4\(\frac{1}{2}\).

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