A person, by selling an article at three-fourths of the list price incurs a loss of 20%. Find the profit percentage if he sells at the list price?
- 0.75 MP = 0.8 CP (since 20% loss) So, MP = 1.0666CP ⇒ 6.66% gain.
Given:
List Price (LP) = 100
Selling Price (SP) = 3/4 LP
Loss = 20%
We need to find the Profit Percentage (P%) if he sells at the List Price (100).
We can use the following formula to calculate the Profit Percentage (P%):
P% = (SP - CP)/CP × 100
where, SP is the Selling Price and CP is the Cost Price.
Since, the person incurs a loss of 20%, we can say that the Cost Price (CP) = (1.2 × SP).
Therefore, the Profit Percentage (P%) = (SP - 1.2 × SP)/(1.2 × SP) × 100
Substituting the values, we get
P% = (3/4 LP - 1.2 × 3/4 LP)/(1.2 × 3/4 LP) × 100
= (3/4 LP - 9/10 LP)/(9/10 LP) × 100
= (LP/40)/(9/10 LP) × 100
= 40/9 × 100
= 6.66 %
Hence, the Profit Percentage (P%) if he sells at the List Price (100) is 6.66 %.
Therefore, the correct answer is Option B 6.66 %.
Was this answer helpful ?
Submit Solution