Question

Mr Dharmesh purchased and old house for rupees 380000 he spend 35000 rupees on hits repairing and 25000 rupees on its decoration after some time he sold it for 432000 rupees find profit loss percent

Answer 1

➤ Given :-

Cost price of an old house :- ₹380000

Cost spent on its repairs :- ₹35000

Cost spent on its decoration :- ₹25000

Selling price of the house :- ₹432000

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➤ To Find :-

Profit or loss percentage of the house.

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➤ Formula required :-

${\tt \large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{Profit \: (or) \: Loss}{Cost \: price} \times 100}}}}$

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★ How to do :-

Here, we are given with the cost at which a person purchased a house and it's also given that he spent some rupees on it's repairs and on it's decoration. We are also provided with the selling price of that house. We should find the profit or loss percentage obtained for Mr.Dharmesh. So, first we should find the total cost price of the house by adding the given cost price, cost spent on it's repairs and the cost spent on it's decoration. Then, we can find the loss rupees by subtracting the cost price and the selling price. Later, we can find the loss percentage by using the given formula. So, let's solve!!

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➤ Solution :-

Total cost price of the house :-

${\tt \leadsto 380000 + 35000 + 25000}$

${\tt \leadsto Rs \: \: 440000}$

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Loss rupees :-

${\tt \leadsto 440000 - 432000}$

${\tt \leadsto Rs \: \: 8000}$

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Now,

Loss percentage :-

${\tt \leadsto \dfrac{8000}{440000} \times 100}$

${\tt \leadsto \cancel \dfrac{8000}{440000} \times 100 = \dfrac{1}{55} \times 100}$

${\tt \leadsto \dfrac{1 \times 100}{55} = \dfrac{100}{55}}$

${\tt \leadsto \cancel \dfrac{100}{55} = \boxed{ \tt 1.81 \bf\%}}$

$\Huge\therefore$ The loss percentage of the whole transaction is 1.81%.

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$\dashrightarrow$ Some related formulas :-

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

Answer 2

Loss%=1.81%

Step-by-step explanation:

Given-

Cost of house= ₹380000

Repairing Expansion= ₹35000

Decoration expenses = ₹25000.

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Solution-

➥Let's find the total expenditure on the old house prior any other calculations.

$380000 + 35000 + 25000 \\ \\ = 440000$

So, cost price of the house is ₹440,000

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➥Now, let's compare the cost price with the selling price.

$\color{black}\boxed{\colorbox{saffron}{440000>432000}}$

So, cost price is more.

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➥Now, let's find the loss.

$\mathbb\red{Loss=cost\:Price-Selling\:Price}$

$440000 - 432000\\ \\= 8,000$

Loss = ₹8,000.

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➥Lastly, let's calculate the loss

percentage.

$loss=\frac{loss}{cost\:price}×100$

$= \frac{8000}{44000} \times 100 \\ \\ = \frac{8000}{4400} \\ \\ = \frac{2000}{1100} \\ \\ = \frac{20}{11} \\ \\ = 1.81\%$

So, loss%=1.81%