Question

the selling price of 10 pencils is equal to the cost price of 11 pencils find the gain percent​

Answer 1

$\huge \mathfrak \red{answer : }$

$\blue{10\%}$

$\green{STEP-BY-STEP \: \: VERIFICATION:}$

LET C. P OF 11 PENCIL AND S. P. OF 10 PENCIL BE X.

GIVEN,

$\red{C. P. of \: one \: pencil= \frac{x}{11} }$

$\blue{S. P. \: of \: one \: pencil = \frac{x}{10} }$

NOW,

$GAIN\%= \frac{S. P. -C. P}{C. P} \times 100\% \\ = \frac{ \frac{x}{10} - \frac{x}{11} }{ \frac{x}{11} } \times 100\% \\ = \frac{ \frac{11x - 10x}{110} }{ \frac{x}{11} } \times 100\% \\ = \frac{ \frac{x}{110} }{ \frac{x}{11} } \times 100\% \\ = \frac{1}{10} \times 100\% \\ \red{ = 10\%}$

•°•THE GAIN PERCENTAGE IS 10%.

Answer 2

let the required no. be x

cost price = 10x

selling price = 11x

gain = s.p.- c p.

gain = 11x - 10x

gain = x

gain %= gain ×100/c.p.

gain%=x×100/c.p.

solve this equation

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