Question

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

• A. $A=1,873Rs.$ and $B=1,600Rs.$
• B. $A=1,275Rs.$ and $B=1,500Rs.$
• C. $A=1,647Rs.$ and $B=1,900Rs.$
• D. $A=1,450Rs.$ and $B=1,300Rs.$

Answer 1

Answer: (B)

$A=1,275Rs.$ and $B=1,500Rs.$

Let cost of A be Rs $x$ and of B be Rs $y$.
Given, Total cost = Rs $2775$
$=>x+y=2775$ --- (1)
Also,cost of an article A is $15$ % less than that of article B
=> $x=y-0.15y=>x=0.85y$ --- (2)
From $\left(1\right)$ and $\left(2\right)$, we get
$0.85y+y=2775$
$1.85y=2775$
$=>y=1500$
And, $x=0.85y=1275$
Hence, cost of A is Rs $1275$ and of B is Rs $1500$