Question

A fruitseller buys $28$ dozen mangoes at $₹5.50$ per dozen and equal number at $₹6.50$ per dozen If he sells them all at $₹7.50$ per dozen find his gain percent$.$

Answer 1

Step $1:$Find the total cost price of the mangoes

It is given that a fruit seller buys $28$ dozen mangoes at $₹5.50$ per dozen

Cost price of $28$ dozen mangoes $=28\times 5.5$

$=154$

It is given that a fruit seller buys $28$ dozen mangoes at $₹6.50$ per dozen

Now cost price of $28$ dozen mangoes $=$$28\times 6.5$

$=182$

cost price of $56$ mangoes $=154+182$

$=336$

Step $2:$ Find selling price of mangoes.

Selling price of $56$ mangoes $=56\times 7.5$

$=420$

Step $3:$Now find the gain percent

Since S.P is greater than C.P

Gain percent $=\frac{S.P.-C.P.}{C.P.}\times 100$

$=\frac{420-336}{336}\times 100$

$=\frac{84}{336}\times 100$

$=\frac{84}{84\times 4}\times 100$

$=\frac{100}{4}$

$=25\%$

Hence, the gain percent is $25\%$