Question

Ankit sold two jeans for 870 each. On one he gains 20% and on the other he lost
10%. Find his gain or loss per cent in the whole transaction.

*Answer.
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

$\huge \color{turquoise} {\mid{\fbox{\cal{Answer}}\mid}}$

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$\bf \purple {\fbox {Given:-}}$

➺ᴛʜᴇ ᴘʀɪᴄᴇ ᴏғ ᴛʜᴇ ᴛᴡᴏ ᴊᴇᴀɴs sᴏʟᴅ ʙʏ ᴀɴᴋɪᴛ ɪs 870

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$\bf \orange {\fbox {For\: jeans\:1,}}$

➺ᴀɴᴋɪᴛ ɢᴀɪɴs ᴀ ᴘʀᴏғɪᴛ ᴏғ 20%

Ⓣⓗⓔⓝ,

$➺{Cost\: price (CP)=\frac{870×20}{100}}$

$➺{Profit=174}$

Ⓣⓗⓤⓢ,

➺ғɪɴᴀʟ ᴘʀɪᴄᴇ ғᴏʀ ᴊᴇᴀɴs 1 ᴡɪʟʟ ʙᴇ:

${➺870+174}$

$\bf {\fbox {1,044}}$

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$\bf \blue {\fbox {For\: jeans\:2,}}$

➺ᴛʜᴇʀᴇ ɪs ᴀ ʟᴏss ᴏғ 10%

Ⓣⓗⓔⓝ,

${➺Cost\: price (CP)=\frac{870×10}{100}}$

${➺Loss=87}$

Ⓣⓗⓤⓢ,

➺ғɪɴᴀʟ ᴘʀɪᴄᴇ ғᴏʀ ᴊᴇᴀɴs 2 ᴡɪʟʟ ʙᴇ:

${➺870-87}$

$\bf {\fbox {783}}$

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$\bf \pink {\fbox {Verification:-}}$

➺ᴏʀɪɢɪɴᴀʟ/ᴄᴏsᴛ ᴘʀɪᴄᴇ ᴏғ ᴊᴇᴀɴs 1+ᴄᴏsᴛ ᴘʀɪᴄᴇ ᴏғ ᴊᴇᴀɴs 2(CP)

$➺{1,044+783}$

$\bf {\fbox {CP=1,825}}$

➺ғɪɴᴀʟ/sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ ᴏғ ᴊᴇᴀɴs 1+sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ ᴏғ ᴊᴇᴀɴs 2(SP)

${➺870+870}$

$\bf {\fbox {SP=1,740}}$

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$\bf \red {\fbox {We\: can\: observe:-}}$

➺ᴄᴏsᴛ ᴘʀɪᴄᴇ ɪs ɢʀᴇᴀᴛᴇʀ ᴛʜᴀɴ sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ

$\bf {\fbox {CP>SP}}$

➺ʜᴇɴᴄᴇ,ᴀɴᴋɪᴛ ɪs ʜᴀᴠɪɴɢ ᴀ ʟᴏss

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➺ʟᴏss=ᴄᴏsᴛ ᴘʀɪᴄᴇ-sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ

${➺1,825-1,740}$

$\bf {\fbox {Loss=85}}$

${Loss%={\frac{Loss}{Cost\: price}×100}}$

${Loss%={\frac{85}{1825}×100}}$

${Loss%={\frac{8500}{1825}}}$

$\bf {\fbox {Loss%=4.65%}}$

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$\bf \green {\fbox {Thereupon,}}$

➺ ʟᴏss ʙʏ ᴀɴᴋɪᴛ ɪɴ ᴛʜᴇ ᴡʜᴏʟᴇ ᴛʀᴀɴsᴀᴄᴛɪᴏɴ=4.65%

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$\color{turquoise} {\mid{\fbox{\cal{Hope\: it\: works}}\mid}}$