The difference between the cost price and the selling price of a pair of shoes is Rs.1,200. If the profit is 15%, and the selling price is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Rs.9,200.
Let's assume that the cost price of the pair of shoes is 'C' and the selling price is 'S'.
Given that the difference between the cost price and the selling price is Rs.1,200.
So we can write the equation:
S - C = 1200
Also, given that the profit is 15%. We know that the profit percentage is given by:
Profit Percentage = (Profit/Cost Price) × 100
We can rearrange this formula as:
Profit = (Profit Percentage / 100) × Cost Price
So, the profit earned on this pair of shoes would be:
Profit = (15/100) × C = 0.15C
We know that the profit earned is equal to the selling price minus the cost price. So we can write another equation:
S - C = 0.15C
Substituting the value of S - C from the first equation, we get:
1200 = 0.15C
Simplifying this equation, we get:
C = 8000
So, the cost price of the pair of shoes is Rs.8,000.
Substituting the value of C in the first equation, we get:
S - 8000 = 1200
Simplifying this equation, we get:
S = 9200
Therefore, the selling price of the pair of shoes is Rs.9,200.