A salesman purchases an article for and sells it a loss of 20%. Had he paid…
2024
A salesman purchases an article for and sells it a loss of 20%. Had he paid 15% less for buying the article and sold it at Rs.50 more, he would have made a profit of 30%. (Calculate approximate value):
- A.
Rs.130
- B.
Rs.164
- C.
Rs.125
- D.
Rs.345
Attempted by 5 students.
Show answer & explanation
Correct answer: B
Let the original cost price be x.
He sells at a loss of 20%, so the selling price is 0.8x.
If he had paid 15% less, the new cost would be 0.85x. Selling at Rs.50 more than the original selling price gives a new selling price of 0.8x + 50.
According to the condition, this new selling price yields a 30% profit on the reduced cost. So:
0.8x + 50 = 1.3 × 0.85x = 1.105x
Rearrange to solve for x:
50 = 1.105x − 0.8x = 0.305x ⇒ x = 50 / 0.305 ≈ 163.9344
Therefore the original cost price ≈ Rs.164.