Multiple choice

The Metro store bought a lot of 100 containers of Pure and Natural Desi Ghee from Frontier Dairy Junction at 30% discount. The store sold the Ghee at 23% discount, yet making a profit of 10%. What is the ratio of the marked price in the store to that at the Frontier Dairy Junction?

  1. 1 : 1

  2. 23 : 70

  3. 23 : 77

  4. 23 : 64
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A Correct answer
Explanation

Let MP_F be marked price at Frontier, MP_S at Store. Store buys at 0.7 * MP_F. Store sells at 0.77 * MP_S. Profit is 10%, so 0.77 * MP_S = 1.1 * (0.7 * MP_F). 0.77 * MP_S = 0.77 * MP_F. Thus, MP_S = MP_F. Ratio is 1:1.

AI explanation

Let the marked price at the dairy junction be 100, making the store's cost price 70 after the 30% discount. Let the marked price at the store be M, so the selling price is 77% of M, and the store makes a 10% profit by selling it for 77. Therefore, 0.77 multiplied by M equals 77, making the store's marked price 100. The ratio of the marked price in the store to the dairy junction is 100 to 1, or 1 to 1.

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