Instructions

Each question below is followed by two statements A and B. You are to determine whether the data given in the statement is 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 A alone is sufficient to answer the question, but the statement B alone is not sufficient.
Give answer b: if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
Give answer c: if both statements A and B together are needed to answer the question.
Give answer d: if either the statement A alone or statement B alone is sufficient to answer the question.
Give answer e: if you cannot get the answer from the statements A and B together, but need even more data.

Question 140

What is the profit earned by selling a printer for Rs. 3,000?
A. The cost price of 6 such printers is equal to selling price of 5 such printers.
B. 20% profit is earned by selling each printer.

Solution

S.P. = $$Rs. 3,000$$

Statement A : Let C.P. of 1 printer = $$Rs. x$$

=> $$6x = 5 \times 3000$$

=> $$x = 5 \times 500 = Rs. 2,500$$

=> Profit = $$3,000 - 2,500 = Rs. 500$$

Thus, statement A is sufficient.


Statement B : Profit % = 20 %

Let C.P. of 1 printer = $$Rs. x$$

=> $$x + \frac{20}{100} x = 3000$$

=> $$\frac{6 x}{5} = 3000$$

=> $$x = 5 \times 500 = Rs. 2,500$$

=> Profit = $$3,000 - 2,500 = Rs. 500$$

Thus, statement B is sufficient.

$$\therefore$$ Either statement alone is sufficient.


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