Question

$X=$ Average cost price of A.C and Mobile; $Y=$ Cost price of Laptop. 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 compute CP, SP, and MP step by step, and compare the required averages only after calculating exact values for each item.

Answer 1

The Correct Option is B

From the paragraph: 
- TV: discount $40\%$, profit $20\%$, discount amount ₹24000 $\Rightarrow$ MP\(_{TV}\)=₹60000, SP\(_{TV}\)= ₹36000, CP\(_{TV}\)= ₹30000. 
- AC: “20\% profit after 20\% discount” $\Rightarrow$ SP\(_{AC}\)=1.2 CP\(_{AC}\). Also CP\(_{TV}\)=0.6 SP\(_{AC}\)$\Rightarrow$ SP\(_{AC}\)=₹ 50000, hence CP\(_{AC}\)=₹41666.\(\overline{6}\). 
- Cooler: SP is $50\%$ of CP\(_{TV}\)$\Rightarrow$ SP\(_{Cool}\)=₹15000. Given profit $10\%$ and discount $20\%$: CP\(_{Cool}\)=SP/1.1=₹13636.\(\overline{36}\); MP\(_{Cool}\)=SP/0.8=₹18750. 
- Laptop: SP is $50\%$ more than SP\(_{AC}\) and profit is $20\%$ $\Rightarrow$ SP\(_{Lap}\)=₹75000, CP\(_{Lap}\)=SP/1.2=₹62500 (and since discount $30\%$, MP\(_{Lap}\)=₹107142.\(\overline{85}\)). 
- Mobile: Laptop CP is twice Mobile SP $\Rightarrow$ SP\(_{Mob}\)=₹31250; also profit $50\%$ with $25\%$ discount $\Rightarrow$ CP\(_{Mob}\)=SP/1.5=₹20833.\(\overline{3}\); MP\(_{Mob}\)=SP/0.75=₹41666.\(\overline{6}\).