Shopkeeper marked up a pen at certain percentage above its cost price. If…

2020

Shopkeeper marked up a pen at certain percentage above its cost price. If marked price of pen is Rs. Y, then find the value of Y?
Statement I – Y is marked up 80% above cost price.
Statement II – Cost price of the pen is Rs. X. If shopkeeper allows a discount of 4% on marked price, then he makes a profit of 8% on it. When shopkeeper sells the pen at marked price, then he makes a profit of Rs. 28.
Statement III – Cost price of the pen is Rs. P. If shopkeeper allows a discount of 22 ²⁄₉% on marked price, then he makes a profit of Rs. 70.

  1. A.

    Statement (I) alone is sufficient answer the question

  2. B.

    Statement (II) alone is sufficient to answer the question

  3. C.

    All the three statements taken together are necessary to answer the question

  4. D.

    Either statement (II) alone or statement (I) and (III) together sufficient to answer the question.

  5. E.

    Statement (III) alone is sufficient to answer the question

Attempted by 3 students.

Show answer & explanation

Correct answer: D

Statement I gives only the markup percentage, so Y cannot be found alone.

Statement II gives enough equations: 0.96Y = 1.08X and Y - X = 28, so Y can be found.

Statement III alone is not enough. But with Statement I, 7Y/9 = P + 70 and Y = 1.8P, so Y can be found.

Therefore either Statement II alone or Statements I and III together are sufficient.

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