Question

Vishnu sells an article at 25% profit. Had he sold it for Rs. 51 more, he would have gained 28%. The cost price of the article will be: 
1. 1500
2. 1700
3. 2100
4. 2500

Answer 1

Correct Answer - Option 2 : 1700

Given

On selling article for Rs 51 more, Vishnu is getting 3% more profit.

Formula

Selling price = Cost price × [(100 + Profit%)/100]

Calculation

Let CP be 100x.

SP₁ = 100x × (125/100) = 125x

SP₂ = 100x × (128/100) = 128x

According to question

128x - 125x = 51

⇒ 3x = 51

⇒ x = 17

∴ Cost price = 100x = 100 × 17 = 1700.