Multiple choice

A man sells an article at a gain of 15%. If he hadbought it at 10% less and sold it for Rs 4 less, hewould have gained 25%. Find the cost price ofthe article

  1. RS160

  2. RS170

  3. RS150

  4. RS180

  5. RS190
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the original cost price be C. The original selling price is 1.15C, while the changed cost and selling prices are 0.9C and 1.15C - 4. Using the 25% gain condition, 1.15C - 4 = 1.125C, so C = 160.

AI explanation

Let the cost price be CP, making the initial selling price 1.15CP based on the 15% gain. In the second scenario, the new cost price is 0.90CP and the new selling price is 1.15CP - 4. The new profit is 25%, meaning 1.15CP - 4 = 1.25(0.90CP), which simplifies to 1.15CP - 4 = 1.125CP. Solving 0.025CP = 4 results in a cost price of Rs 160.

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