Question

$X=$ Profit amount of Mobile; $Y=$ Discount amount of Mobile. 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:

If profit amount equals discount amount, then $X \geq Y$ is chosen, since equality satisfies the condition.

Answer 1

The Correct Option is C

From earlier calculations:

Mobile: $CP_{\text{Mob}} = \text{₹}\,20833$, $SP_{\text{Mob}} = \text{₹}\,31250$, $MP_{\text{Mob}} = \text{₹}\,41666$

Profit amount of Mobile: 
\[X = SP - CP = 31250 - 20833 = \text{₹}\,10417\]

Discount amount of Mobile:  
\[Y = MP - SP = 41666 - 31250 = \text{₹}\,10416\]

Here, $X = \text{₹}\,10417$ and $Y = \text{₹}\,10416$.  So, $X \geq Y$ is the correct relation.