Question

A man sells his typewriter at 5% loss. If he sells it for rs 80 more, he gains 5%. The cost price of the typewriter is?

Answer 1

It is your answer If you like please mark as brainliest

Answer 2

Answer:

$\red { Cost \:price \: of \: the \: typewriter }$

$\green {= Rs \: 400}$

Step-by-step explanation:

$Let \: the \: cost\:price \: of \: a \: typewriter = Rs\:x$

$Loss {l) = 5\%$

$\boxed { \pink { Selling \:price (s.p) = c.p \left(\frac{100-l}{100}\right)}}$

$= x \left( \frac{100-5}{100}\right)\\= x\times \frac{85}{100} \\= \frac{17x}{20} \:---(1)$

/* According to the problem given

$If \: the \: man \: sells \: it \: Rs \:80 \: more , \\he \: gains \: 5\%$

$New \: selling \:price = \frac{17x}{20} + 80\\= \frac{17x+1600}{20}$

$Gain (g) = 5\%$

$Cost \: price =\frac{ New \: s.p \times 100}{(100+g)}$

$\implies x =\frac{ \frac{17x+1600}{20} \times 100}{100+5}$

$\implies 105x = (17x+1600)5$

$\implies \frac{105x}{5} = 17x + 1600$

$\implies 21x - 17x = 1600$

$\implies 4x = 1600$

$\implies x = \frac{1600}{4}= 400$

Therefore.,

$\red { Cost \:price \: of \: the \: typewriter }$

$\green {= Rs \: 400}$

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