Multiple choice

Each question below is followed by two Statements [I] and [II]. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers Ram sold an item. Find the M.P of the item? [I]. Ram gave two successive discounts of 20% & 5% on marked price but after that take 25% more on discounted price as tax. Ram can earn 40 more if he sell the item at MP. [II] .Ram gave two successive discount of MP i.e., 15% & 20% whereas Ram kept M.P. 50% more than the C.P. of that item.

  1. if the Statement [I] alone is sufficient to answer the question but the Statement [II] alone is not sufficient

  2. if the Statement [II] alone is sufficient to answer the question but the Statement [I] alone is not sufficient

  3. if both Statement [I] and [II] together are needed to answer the question

  4. if either the Statement [I] alone or Statement [II] alone is sufficient to answer the question

  5. ) if you cannot get the answer from the Statements [I] and [II] together but need even more data
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I relates the difference between selling at marked price and selling after the stated discounts and tax to Rs. 40, allowing the marked price to be determined. Statement II gives only a percentage relation between marked price and cost price, with no actual amount, so it is insufficient alone.

AI explanation

Statement I provides the complete sales mechanism and the profit difference, allowing us to create an equation for the marked price. If we let the marked price be MP, the discounted price equals MP multiplied by 0.8 and then by 0.95, which is 0.76MP. The tax adds 25% to this amount, making the final selling price 0.95MP, and since selling at the full MP yields Rs. 40 more, the equation 0.95MP + 40 equals MP is easily solved to find the marked price. Statement II states that Ram kept the marked price 50% more than the cost price, but it fails to provide the numerical value of either the cost price or the marked price. Therefore, the Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient.

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