Question

Add 7/9 and -12/9

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Answer 1

$\huge\sf\fbox\purple{❥ANSWER:- }$

$\frac{7}{9} + \frac{ - 12}{9}$

$= \frac{7 + ( - 12)}{9}$

$= \frac{ - 5}{ 9}$

$✯ \small\sf\fbox\pink{♡hope \: it's \: helpful}$

Answer 2

Step-by-step explanation:

\large \dag† Question :-

A shopkeeper bought two items at ₹ 450 each. He sold one at loss of 10%. At what price should he sell the other so as to gain 20% on the whole transaction?

\large \dag† Answer :-

\begin{gathered}\red\dashrightarrow\underline{\underline{\sf \green{He \: should \: Sell \: other \: item \: at \: ₹675}} }\\ \end{gathered}

⇢

HeshouldSellotheritemat₹675

\large \dag† Step by step Explanation :-

Let the shopkeeper sold 2nd item for ₹ x

According To Question total CP of both items is 450 × 2 = \large \green{ \bf ₹ 900 } {}^{ \red\bigstar}₹900

★

We Know that

\bf \red\bigstar \: \: \orange{ \underbrace{ \underline{ SP = \frac{100 - Lost\%}{100} \times CP}}}★

SP=

100

100−Lost%

×CP

And,

\bf \red\bigstar \: \: \orange{ \underbrace{ \underline{ SP = \frac{100 + Gain\%}{100} \times CP}}}★

SP=

100

100+Gain%

×CP

❒ As first item is sold at a loss of 10% :

Selling Price of 1st item will be

\begin{gathered} \maltese \: \rm SP_1 = \frac{100 - 10}{100} \times 450 \\ \end{gathered}

✠SP

1

=

100

100−10

×450

\begin{gathered}:\longmapsto \rm SP_1 = \frac{90}{100} \times 450 \\ \end{gathered}

:⟼SP

1

=

100

90

×450

\begin{gathered}:\longmapsto \rm SP_1 = 9 \times 45 \\ \end{gathered}

:⟼SP

1

=9×45

\purple{ \large :\longmapsto \underline {\boxed{{\bf SP_1 =₹\: 405} }}}:⟼

SP

1

=₹405

❒ According To Question Shopkeeper gain 20% on the whole transaction :

So Selling Price of Both Items should be

\begin{gathered} \rm \maltese \: \: SP = \frac{100 + 20}{100} \times 900 \\ \end{gathered}

✠SP=

100

100+20

×900

\begin{gathered}:\longmapsto \rm SP = \frac{120}{100} \times 900 \\ \end{gathered}

:⟼SP=

100

120

×900

\begin{gathered}:\longmapsto \rm SP = 120 \times 9 \\ \end{gathered}

:⟼SP=120×9

\purple{ \large :\longmapsto \underline {\boxed{{\bf SP = ₹ 1080} }}}:⟼

SP=₹1080

✧ As a shopkeeper loss 10% for selling first item and get 20% on whole transaction :

Therefore Selling Price of 2nd Item will be

\begin{gathered}\large \bf \red\bigstar \: \: \orange{ \underbrace{ \underline{ SP_2=SP-SP_1 }}} \\ \end{gathered}

★

SP

2

=SP−SP

1

⏩ Putting Values In above Expression ;

\begin{gathered}:\longmapsto \rm SP_2 = 1080 - 405 \\ \end{gathered}

:⟼SP

2

=1080−405

\purple{ \large :\longmapsto \underline {\boxed{{\bf SP_2 = ₹ 675} }}}:⟼

SP

2

=₹675

Therefore,

\begin{gathered}\blue\dashrightarrow\underline{\pink{\underline{\frak{\pmb{\text S P \: of \: other \: item \: should \: be \: ₹ 675 }}}}} \\ \end{gathered}

⇢

SPofotheritemshouldbe₹675

SPofotheritemshouldbe₹675