Prashant bought a bike and spent Rs. 2000 on its repair, which was 10% of the price at which he bought the bike. He marked the bike at some price and sold it to Vivian at 25% discount. If he earns a profit of 5% in this whole transaction. Find the price which he marked for the bike?

Rs. 28600
Rs. 27500
Rs. 30800
Rs. 31200

LohaHridoy

7 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : Rs. 30800

Given:

Repairing cost = Rs. 2000

Repairing cost = 10% of price at which bike is being bought

Discount = 25%

Profit = 5%

Formula used:

SP = (100 + P%)/100 × CP

SP = (100 - D%)/100 × MP

Calculation:

Price at which he bought the bike = 2000/10 × 100 = Rs. 20000

⇒ Total CP = Rs. 20000 + 2000 = Rs. 22000

Selling price = 105/100 × 22000 = Rs. 23100

∴ Marked price = 100/75 × 23100 = Rs. 30800

7 views Answered 2022-09-04 04:29

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