DIRECTIONS for question 5: Select the correct alternative from the given choices.Two sellers, A and B, sell the same product but at a profit of 15% and 12% respectively. If the cost price of A is 85% of the cost price of B, find the ratio of the selling prices charged by A and B.25 : 2828 : 25391 : 448447 : 526
Question
DIRECTIONS for question 5: Select the correct alternative from the given choices.Two sellers, A and B, sell the same product but at a profit of 15% and 12% respectively. If the cost price of A is 85% of the cost price of B, find the ratio of the selling prices charged by A and B.25 : 2828 : 25391 : 448447 : 526
Solution
Let's solve this step by step:
Step 1: Let's assume the cost price of B as x. Therefore, the cost price of A will be 85% of x, which is 0.85x.
Step 2: The selling price of A will be the cost price of A plus 15% profit. So, it will be 0.85x + 0.15(0.85x) = 0.85x(1 + 0.15) = 0.85x * 1.15.
Step 3: Similarly, the selling price of B will be the cost price of B plus 12% profit. So, it will be x + 0.12x = x(1 + 0.12) = x * 1.12.
Step 4: The ratio of the selling prices of A and B will be 0.85x * 1.15 : x * 1.12.
Step 5: Simplify the ratio by dividing both sides by x. We get 0.85 * 1.15 : 1.12.
Step 6: Calculate the values to get the ratio as 0.9775 : 1.12.
Step 7: To make the ratio easier to understand, we can multiply both sides by 1000 to get 977.5 : 1120.
Step 8: Simplify the ratio by dividing both sides by the greatest common divisor to get the final ratio.
None of the options provided match the calculated ratio. There might be a mistake in the question or the options provided.
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