Miscellaneous Question 64
In the given questions, two quantities are given. One as Quantity-I and another is Quantity-II. You have to determine relationship between these two quantities and choose the appropriate options as given below :
(1) Quantity-I $>$ Quantity-II
(2) Quantity-I $<$ Quantity-II
(3) Quantity-I $\leq$ Quantity-II
(4) Quantity-I $\geq$ Quantity-II
(5) Quantity-I = Quantity-II (or) relationship cannot be established
(Canara Bank PO Exam, 23.12.2018)
- Ram sold a pen at $20 \%$ discount thereby earning a profit of Rs. 60. Had he sold the pen without any discount he would have earned a profit of Rs. 150.
Quantities:
I. Profit earned (in Rs.) if the pen is sold at Rs. 400.
II. Profit earned (in Rs.) if the pen is sold at $25 \%$ profit.
Show Answer
Correct Answer: 64. (1)
Solution: 64. (1) C.P. of pen = Rs. $x$ and its marked price $=$ Rs. $y$
$\therefore \frac{80 y}{100}=x+60$
$\Rightarrow \frac{4 y}{5}=x+60$
Again, $y-x=150$
$\Rightarrow y=x+150$…. (ii)
From equation (i),
$\frac{4}{5}(x+150)=x+60$
$\Rightarrow \frac{4 x}{5}+\frac{4 \times 150}{5}=x+60$
$\Rightarrow x-\frac{4 x}{5}=120-60$
$\Rightarrow \frac{x}{5}=60 \Rightarrow x=$ Rs. 300
Quantity I : Profit
$=400-300=$ Rs. 100
Quantity II : Profit
$=300 \times \frac{25}{100}=$ Rs. 75
Quantity I $>$ Quantity I
BETA
