Question

c.p = Rs 249 s.p = 245 overhead charge 15 find the profit and loss​

Answer 1

➤ Given :-

Cost price :- ₹249

Selling price :- ₹245

Overhead charges :- ₹15

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➤ To Find :-

The profit or loss percentage obtained...

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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 price and the selling price of an item. There is also the extra charges on it called as overhead charges. We should find the profit or loss percentage obtained while selling this item. For solving this, we can use the given formula, but first we should find the total cost price of that item. For finding that, we should add the given cost price and the overhead charges. The obtained answer will be the total cost price of that item. Then, we should subtract the cost price and the selling price. The obtained answer will be the loss of that item. Later, we can solve the loss percentage by using the given formula. So, let's solve!!

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➤ Solution :-

Total cost price :-

${\tt \leadsto 249 + 15}$

${\tt \leadsto Rs \: \: 264}$

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Loss :-

${\tt \leadsto 264 - 245}$

${\tt \leadsto Rs \: \: 19}$

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Now,

Loss percentage :-

${\tt \leadsto \dfrac{19}{264} \times 100}$

${\tt \leadsto \dfrac{19}{ \cancel{264}} \times \cancel{100} = \dfrac{19}{66} \times 25}$

${\tt \leadsto \dfrac{19 \times 25}{66} = \dfrac{475}{66}}$

${\tt \leadsto \cancel \dfrac{475}{66} = \boxed{ \tt 7.19 \bf\%}}$

$\Huge\therefore$ The loss percentage obtained on the item is 7.19%.

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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

Given

• Cost price = Rs 249 /-
• Selling price = Rs 245 /-
• Overhead/Extra charges = Rs 15 /-

To find

• Profit or loss

Solution

Here in the question, we have cost price (CP) and also we have overhead charges, overhead charges are nothing but extra charges which are spent on the particular item, these charges are always added to the cost price, and we are given with selling price, we are asked to find whether there is a profit or loss.

Total CP = CP + Overhead charges

Total CP = 249 + 15

Total CP = Rs 264 /-

Hence, the total cost price is Rs 264 /-

Total SP = Rs 245 /-

Since, CP > SP, there is a loss,

Loss = CP - SP

Loss = 264 - 245

Loss = 19

Hence, the loss obtained is Rs 19 /-

We can also find the loss % using the formula :-

• L % =  L / CP × 100
• L % = 19 / 264 × 100
• L % = 0.0719 × 100
• L % = 7.19

Hence, the loss percent is 7.19 %