A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would…
2024
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
- A.
Rs. 1100
- B.
Rs. 1200
- C.
Rs. 1000
- D.
Rs. 1300
Attempted by 58 students.
Show answer & explanation
Correct answer: C
Solution:
Let the cost price be x.
Selling at a 10% loss gives selling price = 0.9x.
If it was sold for Rs.140 more, the new selling price = 0.9x + 140.
This new selling price corresponds to a 4% gain, so 0.9x + 140 = 1.04x.
Solve the equation: 140 = 1.04x - 0.9x = 0.14x, so x = 140 / 0.14 = 1000.
Therefore the cost price is Rs. 1000. Quick check: 10% loss → SP = Rs.900; adding Rs.140 gives Rs.1040, which is 4% above Rs.1000.