The cash difference in selling prices at a 4% and 6% profit is Rs. 3. What is the ratio of these two selling prices:__________?
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Answer: B. 52:53
Explanation
Letting the cost price be C, the two selling prices at four percentage and six percentage profit are one point zero four C and one point zero six C. The difference between these selling prices is zero point zero two C, which is given as three rupees, making C equal to one hundred fifty. Calculating the two selling prices gives one fifty-six and one fifty-nine, which simplifies to fifty-two to fifty-three. Profit percentages are calculated as a fraction of the original cost price of the article. Selling price equals the cost price plus the profit amount earned on the transaction. Ratio simplification involves dividing both selling price numbers by their greatest common divisor.
Option A results from simplifying an incorrect pair of selling price numbers. Option C underestimates the ratio by applying a faulty reduction factor to the prices. Option D overshoots the simplified proportion due to arithmetic errors in the price calculation.
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- Mathematics
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- Mathematics
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