Question

$X=$ Marked price of Laptop; $Y=$ Marked price of A.C. Decide the relation between $X$ and $Y$.

• A. If $X > Y$
• B. If $X < Y$
• C. If $X \geq Y$
• D. If $X \leq Y$ or can't be determined

Hint:

Always recalculate MP from SP using the discount formula: $SP = MP \times (1 - \text{Discount})$. This avoids mistakes in comparison.

Answer 1

The Correct Option is A

From earlier results:  

- Laptop:  
\[MP_{\text{Lap}} = \text{₹}\,107142.\overline{85}\]  

- A.C.:  
\[SP_{\text{AC}} = \text{₹}\,50000, \quad \text{with 20\% discount } \Rightarrow MP_{\text{AC}} = \frac{50000}{0.8} = \text{₹}\,62500\]  

Now comparing:  
\[X = MP_{\text{Lap}} = \text{₹}\,107142.\overline{85}, \quad Y = MP_{\text{AC}} = \text{₹}\,62500\]  

Clearly,  
\[X > Y\]