Question

If by selling 110 mangoes, the cost price of 120 mangoes is realized. The gain percent is?

• A. $11\frac{1}{9\%}$
  
• B. $9\frac{1}{9\%}$
• C. $10\frac{10}{11\%}$
  
• D. $9\frac{1}{11}$

Answer 1

Given, selling price (S.P.) of 110 mangoes = Cost price (C.P.) of 120 mangoes
Let the C.P. of 1 mango beRs x
$\therefore$ C.P. of 120 mangoes = Rs 120 x
S.P. of 110 mangoes = Rs 120 x
$\therefore$ S.P. of 1 mango
$=\frac{Rs120x}{110}=Rs\frac{12}{11}x$
Since, S.P of 1 mango > C.P. of 1 mango,
$\therefore$ Gain on selling 1 mango = S.P. of 1 mango - C.P. of 1 mango
$\Rightarrow$ Gain on selling 1 mango
$=Rs\frac{11}{12}x-Rsx=Rs\left(\frac{12x-11x}{11}\right)=Rs\frac{x}{11}$
We know that,
$Gain\%=\frac{Gain}{C.P.}\times 100\therefore Gain\%=\frac{Gainonselling1mango}{C.P.of1mango}\times 100\%\Rightarrow Gain\%=\frac{Rs\frac{x}{11}}{Rsx}\times 100\%\Rightarrow Gain\%=\frac{100}{11}\%\approx 9.09\%\left(Approx\right)$
Thus, the gain percent is $9.09\%$ approximately.