Question

The cost of a bottle and a bowl together is 92 rupees. If the bottle costs 20 rupees more than the bowl, then what is the price of one bottle is

• A. 36 rupees
• B. 44 rupees
• C. 56 rupees
• D. 62 rupees

Answer 1

The correct option is C

56 rupees

Let the cost of one bottle be $x$ rupees and the cost of one bowl be $y$ rupees.

Given, cost of a bottle and a bowl together is 92 rupees.

So, $x+y=92$ ---------- (i)

Also, given that, the bottle costs 20 rupees more than the bowl.

So, $x=y+20$ ---------- (ii)

Substituting (ii) in (i), we get,

$(y+20)+y=92$

$⟹(20+y)+y=92$ [$x+y=y+x$ for all numbers $x,y$]

$⟹20+(y+y)=92$

$⟹20+2y=92$ [Since $y+y=2y$ for any number $y$]

$⟹2y=72$

$⟹y=36$

$x+y=92$ and $y=36$ implies $x=56$

Therefore the price of one bottle is 56 rupees.