Question

After selling $10$ candles a man earn a profit of the selling price of $3$ bulbs. while selling $10$ bulbs a man losses selling price of $4$ candles. the numerical value of $p\%$ and $l\%$ is equal and the cost price of the candle is half of the cost price of the bulbs. Find the ratio of selling price of the candle to bulbs.

• A. $5:4$
• B. $3:2$
• C. $4:5$
• D. $3:4$

Answer 1

The correct option is B $3:2$

From the given question:

Let the cost price of the candles be $x$ then the cost price of bulbs is $2x$

Let the selling price of candles be $a$ and that of bulbs be $b$ then

	Candles	Bulbs
Cost Price	$x$	$2x$
Selling Price	$a$	$b$

Condition $1:$

Profit percentage$=\frac{3b}{10x}\times 100$

Condition $2:$

Loss percentage$=\frac{4a}{20x}\times 100$

Profit percentage$=$Loss percentage

$\Rightarrow \frac{3b}{10x}\times 100=\frac{4a}{20x}\times 100$

$\Rightarrow 3b=2a$

$\Rightarrow \frac{3}{2}=\frac{a}{b}$

$\therefore a:b=3:2$