Question

Veer bought an air-conditioner and spent . 2200 on its repairs. He sold it at a 3 profit of 20% for . 26640. Find the price at which he bought the air-conditioner.

Answer 1

➤ Correct Question :-

Veer bought an air-conditioner and spent ₹2200 on it's repairs. He sold it at a profit of 20% for ₹26640. Find the price at which he had bought it.

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➤ Given :-

Cost spent on repairs :- ₹2200

Selling price :- ₹26640

Profit percentage :- 20%

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➤ To Find :-

The price at which Veer had bought it.

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➤ Formula required :-

${\large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{100}{(100 + Profit \bf\%)} \times SP}}}}$

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★ How to do :-

Here, we are given with selling price and the gain percentage obtained for that when it was sold. We are also given with the cost spent on its repairs. We are asked to find the cost at which he had bought it. So, first we should find the total cost price of that item by using the given formula. Then, to find the cost at which he had bought it, we should subtract the obtained answer and the cost spent on it's repairs. The obtained answer will be the cost at which he had bought it.

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➤ Solution :-

Total cost price :-

${\tt \leadsto \dfrac{100}{(100 + 20)} \times 26640}$

${\tt \leadsto \dfrac{100}{\cancel{120}} \times \cancel{26640} = \dfrac{100}{1} \times 222}$

${\tt \leadsto \dfrac{100 \times 222}{1} = \dfrac{22200}{1}}$

${\tt \leadsto \cancel \dfrac{22200}{1} = 22200}$

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Now,

We should subtract the total cost price and the cost spent on its repairs.

Cost in which he had bought :-

${\tt \leadsto 22200 - 2200}$

${\tt \leadsto \boxed{\tt Rs \: \: 20000}}$

$\Huge\therefore$ Veer had bought that conditioner for ₹20000.

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$\dashrightarrow$ Some related formulas :-

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