Question

14.
On selling 100 pens, a man gains the selling price of 20 pens. Find the gain percent​

Answer 1

Answer:

let the selling price of 1 pen be Rs 1

so selling price of 100 pens is Rs 100

he gained selling price of 20 pens

means he gained Rs 20

cost price = selling price-profit

=100-20

=80

Cost price=Rs 80

profit percent=profit/cost price×100

=20/80×100

=25

So he gained 25%

Answer 2

Qᴜᴇsᴛɪᴏɴ:

• $\small\sf{On\:Selling\:100\:pens,\:a\:man\:gains\:the\:selling}$$\small\sf{price\:of\:20\:pens.\:Find\:the\:gain\:percent.}$

${ }$

Fɪɴᴅ:

• $\sf{Gain\:Percent}$

${ }$

Sᴏʟᴜᴛɪᴏɴ:

• $\sf{Let \:us\: consider \:the\: CP\: of \:a \:pen \:be\: x}$

$\:\:\:\:\:\:\::\:\Longrightarrow\sf{SP\: of\: 100 \:pens\: = \:100x}$

$\:\:\:\:\:\:\::\:\Longrightarrow\sf{Gain \:of\: 20 \:pens\: = \:20\:x}$

• $\small\bf{∴\: We\: calculate\: CP\: = \:SP \:-\:Gain}$

$\:\:\:\:\:\:\::\:\Longrightarrow\sf{100x\:-\: 20\:x}$

$\:\:\:\:\:\:\::\:\Longrightarrow\sf{80\:x}$

${ }$

• $\small\bf{∴\:Gain\:\% \:= \:(Gain\: ×\: 100)\: /CP}$

$\:\:\:\:\:\:\::\:\Longrightarrow\sf{(20\:x\: × \:100)\: / \:80\:x}$

$\:\:\:\:\:\:\::\:\Longrightarrow\sf{25\:\%}$

${ }$

$\:\:\:\:\:\:\:{\bold{\green{\dag}}}\:{\underline{\sf{So,\:the\:gain\:percent\:is\:{\bold{\mathfrak{\purple{25\:\%}}}}}}}$