Question

5. The cost price of a necklace is 4600. Find the difference benden necklace at a profit of 5% and at a loss of 5%.​

Answer 1

Step-by-step explanation:

Cost price of the necklace = 4600

To Find:

difference between the selling price of the necklace at a profit of 5% and loss of 5%

Solution:

Cost price = 4600

1) Selling price when profit is 5% = 4600 + 5% of 4600

\implies \tt\: 4600 + 5 \times \frac{4600}{100} ⟹4600+5×

100

4600

\implies \tt\: 4600 + 230⟹4600+230

\implies\tt\purple{ \: rs \: 4830}⟹rs4830

2) Selling price when loss is 5% = 4600 - 5% of 4600

\implies\tt \: 4600 - 5 \times \frac{4600}{100} ⟹4600−5×

100

4600

\implies\tt \: 4600 - 230⟹4600−230

\implies\tt\purple {\: rs \: 4370}⟹rs4370

Required Difference:

⟹⟹ 4830 - 4370

⟹⟹ \tt\orange{ 460 rs}460rs

Hence,

difference between the selling price of the necklace at the profit of 5% and loss of 5% is \tt\underline\red{460\:rs}

460rs

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Answer 2

Given : The Cost Price of Necklace is Rs.4600 .

To Find : Find the Difference between if the Necklace is sold at a Profit of 5 % or a loss of 5 % .

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SolutioN :

$\maltese$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ S.P{\small_{(Profit)}} = \bigg\lgroup \dfrac{Profit \; \% + 100}{100} \bigg\rgroup \times Cost \; Price }}}}}$

• ${\underline{\boxed{\pmb{\sf{ S.P{\small_{(Loss)}} = \bigg\lgroup \dfrac{100 - Loss \; \%}{100} \bigg\rgroup \times Cost \; Price }}}}}$

Where :

• S.P = Selling Price

$\maltese$ Calculating the Difference :

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Difference = \bigg\{ \bigg( \dfrac{Profit \; \% + 100}{100} \bigg) \times Cost \; Price \bigg\} - \bigg\{ \bigg( \dfrac{100 - Loss \; \%}{100} \bigg) \times Cost \; Price \bigg\} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Difference = \bigg\{ \bigg( \dfrac{100 + 5}{100} \bigg) \times 4600 \bigg\} - \bigg\{ \bigg( \dfrac{100 - 5}{100} \bigg) \times 4600 \bigg\} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Difference = \bigg\{ \bigg( \dfrac{105}{100} \bigg) \times 4600 \bigg\} - \bigg\{ \bigg( \dfrac{95}{100} \bigg) \times 4600 \bigg\} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Difference = \bigg( \dfrac{483000}{100} \bigg) - \bigg( \dfrac{437000}{100} \bigg) } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Difference = \bigg( \cancel\dfrac{483000}{100} \bigg) - \bigg( \cancel\dfrac{437000}{100} \bigg) } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Difference = 4830 - 4370 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; {\underline{\boxed{\pmb{\sf{ Difference = Rs. \; 460 }}}}} \; {\pink{\bigstar}} \\ \\ \\ \end{gathered}$

$\therefore \;$ Difference between the Price is Rs.460 .

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