Sunil buys 6 pens for Rs. 10 and sells them at a price of Rs. 6 for 4. What…
2018
Sunil buys 6 pens for Rs. 10 and sells them at a price of Rs. 6 for 4. What percentage is the loss or gain for Sunil?
Answer: B. 10 percent loss — To determine whether Sunil made a profit or a loss, we need to compare the cost price (CP) and the selling price (SP) per pen. Step-by-Step Analysis Calculate…
- A.
10 percent gain
- B.
10 percent loss
- C.
12 percent loss
- D.
12 percent gain
Attempted by 16 students.
Show answer & explanation
Correct answer: B
To determine whether Sunil made a profit or a loss, we need to compare the cost price (CP) and the selling price (SP) per pen.
Step-by-Step Analysis
Calculate the Cost Price (CP) per pen:
Sunil buys 6 pens for Rs. 10.
CP per pen = 10 / 6 = 5 / 3 (approx. Rs. 1.67).
Calculate the Selling Price (SP) per pen:
Sunil sells 4 pens for Rs. 6.
SP per pen = 6 / 4 = 3 / 2 (Rs. 1.50).
Determine Loss or Gain:
Since the CP (5/3) is greater than the SP (3/2), Sunil has incurred a loss.
Loss = CP - SP = 5 / 3 - 3 / 2
To subtract, use a common denominator (6): 10 / 6 - 9 / 6 = 1 / 6.
Loss = 1 / 6 per pen.
Calculate Loss Percentage:
Loss Percentage = (Loss / CP) × 100
Loss Percentage = ((1/6) / (5/3)) × 100
Loss Percentage = (1/6) × (3/5) × 100
Loss Percentage = (3 / 30) × 100 = 0.1 × 100 = 10%.