A shopkeeper purchased 500 pieces for Rs 20 each. However 50 pieces we...
Given:
Number of pieces purchased = 500
Cost price per piece = Rs 20
Number of spoiled pieces = 50
Selling price per piece = Rs 25
To find: Gain or loss %
Solution:
1. Total cost price:
Cost price per piece * Number of pieces purchased = Rs 20 * 500 = Rs 10,000
2. Total selling price:
Number of remaining pieces = Number of pieces purchased - Number of spoiled pieces = 500 - 50 = 450
Selling price per piece * Number of remaining pieces = Rs 25 * 450 = Rs 11,250
3. Profit or loss:
Profit or loss = Total selling price - Total cost price = Rs 11,250 - Rs 10,000 = Rs 1,250
4. Gain or loss %:
Gain or loss % = (Profit or loss / Total cost price) * 100
= (1250 / 10000) * 100
= 12.5%
Therefore, the gain or loss percentage is 12.5%.
Hence, option C is the correct answer.
A shopkeeper purchased 500 pieces for Rs 20 each. However 50 pieces we...
Number of pieces = 500
Cost per piece = 20
Therefore, total cost price = 500 * 20 = 10000
Number of spoiled pieces = 50
Then, number of pieces sold = 500 - 50 = 450
Selling price of each piece = 25
Therefore, total selling price = 450 * 25 = 11250
Since SP>CP, therefore it's a gain.
Gain % = [(SP - CP)/CP] * 100
= [(11250 - 10000)/10000] * 100
= (1250/10000) * 100
= 12.5 %