Question

The cost of an article $A$ is $15\%$ less than that of article $B$. If their total cost is Rs. $2,775$; find the cost of each article.

• A. $A=1,275$ and $B=1,500$
• B. $A=1,625$ and $B=1,300$
• C. $A=1,685$ and $B=1,800$
• D. $A=1,325$ and $B=1,400$

Answer 1

The correct option is A $A=1,275$ and $B=1,500$

Let the cost of $A$ be Rs $x$ and of $B$ be Rs $y$.
Given that the total cost $=2775$ Rs
$\Rightarrow x+y=2775$ --- (1)
Also, cost of an article $A$ is $15\%$ less than that of article $B$

$\Rightarrow x=y-0.15y\Rightarrow x=0.85y$ --- (2)
From $\left(1\right)$ and $\left(2\right)$, we get
$0.85y+y=2775$
$1.85y=2775$
$\Rightarrow y=1500$
And, $x=0.85y=1275$

Hence, cost of $A$ is Rs $1275$ and of $B$ is Rs $1500$.