Question

a shirt is sold for rs 135 at profit of 12%. calculate the cost price of the shirt

Answer 1

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\tt A \:shirt\: is\: sold\: for\: rs \:135\: at \:profit\: of \:12\%.\\\tt Calculate\: the \:cost \:price \:of\: the\: shirt$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf {\boxed {\mathbb {GIVEN}}}$

• $\sf \bf Selling \:price\:of \:the\:shirt \big(S.P\big)=Rs\:135$
• $\sf \bf Profit\:by\:selling \:that\:shirt=12 \:\%$

$\sf \bf {\boxed {\mathbb {TO\:FIND}}}$

• $\sf \bf Cost \:price\:of \:the\:shirt \big(C.P\big)$

$\sf \bf {\boxed {\mathbb {SOLUTION}}}$

${\boxed {\boxed {\color {blue} {\sf \bf C.P=\dfrac{S.P \times 100}{100+Profit \:\%}}}}}$

$\sf \bf C.P=Cost\:price$

$\sf \bf S.P=Selling \:price$

$\sf \bf Profit \:\% = Gained\:profit \:\%$

${\overbrace {\underbrace {\color {orange} {Substitute \:the\:values}}}}$

$\sf \bf \implies C.P=\dfrac{135 \times 100}{100+12}$

$\sf \bf \implies C.P=\dfrac{13500}{112}$

$\implies {\boxed {\color {green} {\sf \bf C.P=120.53}}}$

${\color {purple} \underline {\tt \therefore The\:cost\:price\:of \:shirt \:is \:Rs\:120.53}}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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$\sf \bf\huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

${\color {red} {\tt Formulas}}$

$\sf \bf Profit \:\%= \dfrac{Profit \times 100}{C.P}$

$\sf \bf Loss \:\%= \dfrac{Loss \times 100}{C.P}$

$\sf \bf C.P=\dfrac{S.P \times 100}{100+Profit \:\%}$

$\sf \bf C.P=\dfrac{S.P \times 100}{100-Loss\:\%}$

Answer 2

Infrastructure can be referred to the basic physical operations of a nation or a business, such as communication, transportation, water, sewage, etc. This operation can be highly expensive investments and an important aspect of the economic development of a country