Question

A tape recorder was bought by Ravi for 1675 and he repaired it by spending 825. If Ravi expects to get a profit of 8% on his sale, what should be the selling price?
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Answer 1

Answer:

2700

Step-by-step explanation:

The explanation is in the photo. Hope this helps you.

Answer 2

Given :-

• Cost Price (C.P) = Rs,1675
• Overhead Expenses = Rs,825
• Required Profit = 8%

To Find :-

• Selling Price (S.P)

Formula :-

$\bigstar\:\underline{\boxed{\bf{S.P = \dfrac{100+Gain\%}{100} \times C.P}}}$

Solution :-

$\longmapsto\sf{Total \: C.P \: = \: Net \: C.P \: + \: Overhead \: Expenses} \\ \\ \longmapsto\sf{Total \: C.P \: = \: 1675 \: + \: 825} \\ \\\longmapsto\bf{Total \: C.P\: = \: Rs,2500}$

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${:} \longrightarrow \: \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ {:} \longrightarrow \: \: \sf{S.P = \dfrac{100 \: + \: 8}{100} \times 2500} \\ \\ {:} \longrightarrow \: \: \sf{S.P = \dfrac{100 \: + \: 8}{1 \cancel{00}} \times 25 \cancel{00}} \\ \\ {:} \longrightarrow \: \: \sf{S.P = 100 \: + \: 8 \: \times \: 25} \\ \\ {:} \longrightarrow \: \: \sf{S.P = 108\: \times \: 25} \\ \\{:} \longrightarrow \: \: \boxed{\bf{S.P \: = \: Rs,2700}}$

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So, He should sell it at Rs,2700 to gain a profit of 8%

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★ Additional Info :

$\small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }$

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