The cash difference between the selling prices of an article at a profit of 4% and 6% is ₹ 3. The ratio of the two selling prices is
Question
The cash difference between the selling prices of an article at a profit of 4% and 6% is ₹ 3.
The ratio of the two selling prices is
Solution
Let's denote the cost price of the article as 'x'.
- The selling price of the article at a profit of 4% would be x + 0.04x = 1.04x.
- The selling price of the article at a profit of 6% would be x + 0.06x = 1.06x.
According to the problem, the difference between these two selling prices is ₹3. So, we can set up the following equation:
1.06x - 1.04x = 3 0.02x = 3 x = 3 / 0.02 x = ₹150
So, the cost price of the article is ₹150.
Now, let's find the two selling prices:
- Selling price at 4% profit = 1.04 * 150 = ₹156
- Selling price at 6% profit = 1.06 * 150 = ₹159
Therefore, the ratio of the two selling prices is 156:159.
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