| Direction: In each of the following questions you have to find out that which of the following statement/statements is/are redundant for determining the answer of the given question or can be dispensed with. |
| What is the ratio of the marked price of two identical items X and Y, which had been purchased at the same price? |
| I. Item X was sold at 25% profit, while item Y was sold at a loss of 20%. |
| II. The overall profit earned on selling item X and Y was Rs. 476. |
| III. Item X was sold at a discount of 15%. The percentage by which item Y's cost price had been marked up is the same as the profit % earned on selling item X. |
A) Any two of the three
B) Only II
C) All I, II and III
D) Question can't be answer even with the information in all three statement.
E) Only I and II
Correct Answer: B
Solution :
From I and III. \[{{X}_{sp}}=1.25x\] \[{{Y}_{sp}}=0.8x\] Now, \[{{X}_{MP}}=\frac{1.25x}{85}\times 100\] \[{{Y}_{MP}}=x(1.25)\] \[\therefore \] Reqd ratio =\[\frac{{{X}_{MP}}}{{{Y}_{MP}}}=\frac{1.25x}{85}\times \frac{100}{1.25x}\] \[=20:17\]
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