By selling 33 meters of cloth, one gains the selling price of 11 meters. Find…
2025
By selling 33 meters of cloth, one gains the selling price of 11 meters. Find the gain percent.
- A.
60%
- B.
50%
- C.
70%
- D.
65%
Attempted by 1 students.
Show answer & explanation
Correct answer: B
The correct answer is Option B: 50%.
Explanation
To find the gain percent, we look at the relationship between the selling price and the cost price:
Let the selling price (SP) of 1 meter of cloth be 1 unit.
Therefore, the SP of 33 meters of cloth is 33 units.
The gain is equal to the SP of 11 meters, which is 11 units.
Since gain equals selling price minus cost price (Gain = SP - CP), the cost price (CP) of 33 meters is: CP = 33 units - 11 units = 22 units.
The gain percent is calculated as (Gain / CP) * 100: Gain percent = (11 / 22) * 100 = 50%.