Multiple choice

If the cash difference between the selling prices of an item at a gain of 3% and 6% is Rs. 9, which of the following options is the correct ratio of the selling prices?

  1. 103 : 106

  2. 101 : 105

  3. 101 : 103

  4. 103 : 100
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Selling price at 3% gain is 1.03 * CP. Selling price at 6% gain is 1.06 * CP. The ratio is 1.03 / 1.06, which is 103 : 106.

AI explanation

Let the cost price of the item be C. The selling price at a gain of 3 percent is 103 percent of C, which is 1.03C, and the selling price at a gain of 6 percent is 106 percent of C, which is 1.06C. The difference between the two selling prices is 1.06C minus 1.03C, which equals 0.03C. Setting this difference equal to Rs. 9 gives 0.03C = 9, meaning the cost price C is Rs. 300. The selling prices are 1.03 multiplied by 300, which is Rs. 309, and 1.06 multiplied by 300, which is Rs. 318, making their ratio 309:318, which simplifies to 103:106.

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