Multiple choice

Passage

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. Give answer (a) if the Statement [I] alone is sufficient to answer the question but the Statement [II] alone is not sufficient (b) if the Statement [II] alone is sufficient to answer the question but the Statement [I] alone is not sufficient (c) if both Statement [I] and [II] together are needed to answer the question (d) if either the Statement [I] alone or Statement [II] alone is sufficient to answer the question (e) if you cannot get the answer from the Statements [I] and [II] together but need even more data

Ram sold an item. Find the M.P of the item? [I]. Ram gave two successive discounts is 20% & 5% on marked price. But after that take 25% more on discounted price as tax. Ram can earn 40 more If he sells 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. (a) if the Statement [I] alone is sufficient to answer the question but the Statement [II] alone is not sufficient

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

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

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

  5. (e) 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: Successive discounts of 20% and 5% on MP result in 0.8 * 0.95 * MP = 0.76 * MP. Tax of 25% on this: 0.76 * MP * 1.25 = 0.95 * MP. Selling price = 0.95 * MP. Given MP - 0.95 * MP = 40, 0.05 * MP = 40, MP = 800. Sufficient. Statement II: Gives discounts and relation to CP, but no absolute value to find MP.

AI explanation

Let the marked price be M and the cost price be C. From Statement I, the selling price is M multiplied by 0.8 and multiplied by 0.95, which equals 0.76M, and the given difference between the marked price and the selling price is 40, yielding the equation M minus 0.76M equals 40, which is easily solved for M. Statement II only gives the relationship that M is 1.5 times C and the selling price is 1.5 times C multiplied by 0.85 multiplied by 0.8, but provides no numerical difference or actual value to find the exact marked price. Therefore, Statement I alone is sufficient to answer the question but Statement II alone is not sufficient.

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