Question

Sameer bought 12 sunglasses for Rs 9600 and sold them all for Rs 960 each, did he make profit or loss, how much was it?
Plz answer this question​

Answer 1

Concept :

• Here, in the above question, the concept of Profit & loss has been used. Where, it's given that Sameer bought 12 sunglasses for Rs 9600 and sold them all for Rs 960 each, and we are asked to find his profit/loss.

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Given :

• Cost Price (CP) of 12 sunglasses = Rs. 9600
• He sold them all for Rs. 960 each.

To Find :

• Overall loss/profit.

Calculation :

The question has already provided the C.P. which is Rs. 9600 & also its given that he sold them all for Rs. 960 each. So, firstly let's calculate in how much amount he sold for 12 sunglass.

• S.P. for one sunglass = $\rm \: Rs. \: 960$

$\sf{\longrightarrow \: 960 \times 12} \\ \\ \\ \longrightarrow \underline{\boxed{\bf{SI \: = \: \: Rs. \: 11520 }}} \: \red{\bigstar}$

Hence, the selling price (SP) for 12 sunglasses is Rs. 11520.

Now, let us find out, whether it was a profit or loss.

We know that,

• Profit is when, selling price is greater than cost price, i.e.

• $\rm{ \red{ Gain = S.P. > C.P.}}$

Here,

• Selling price (SP) = Rs. 11520
• Cost price (CP) = Rs. 9600

$\sf \longrightarrow \: Rs. 11520 \: > \: Rs. 9600$

$\therefore$ Hence, it was a Profit , since selling price is greater than cost price.

Now, let's calculate the profit by using this formulae :-

• $\rm{ \purple{ Profit = S.P. - C.P. }}$

$\dag$ Putting the values,

$\sf{\longrightarrow Gain \: = S.P. \: - \: C.P. } \\ \\ \\ \sf{\longrightarrow Gain \: = Rs. \: 11520 \: - \: Rs. \: 9600 } \\ \\ \\ \sf \ \longrightarrow \underline{\boxed{\bf{Gain \: = \: \: Rs. \: 1920 }}} \: \purple{\bigstar}$⠀

$\therefore$ Hence, profit of the sunglasses is Rs. 1920.

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$\dag$ More Formulae :

» $\bf \: Gain = S.P. - C.P.$

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» $\bf \: \: Gain\% = \bigg( \dfrac{gain}{C.P.} \times 100 \bigg )\%$

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» $\bf \: Loss = C.P. - S.P.$

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» $\bf \: Loss\% = \bigg( \dfrac{loss}{C.P.} \times 100 \bigg )\%$

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» $\bf \: C.P. = \dfrac{100}{(100 + gain\%)} \times S.P.$

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» $\bf \: C.P. = \dfrac{100}{(100 - loss\%)} \times S.P.$

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» $\bf \: S.P. = \dfrac{(100 + gain\%)}{100} \times C.P.$

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» $\bf \: S.P. = \dfrac{(100 - loss\%)}{100} \times C.P.$

Answer 2

Answer:

Profit of ₹1,920

Step-by-step explanation:

Solution -

To find whether he made profit or loss, we first need to find the cost price of each sunglass by unitary method.

$9600 \div 12 \\ \\ = \frac{9600}{12} = 800$

So, the cost price of each sunglass was ₹800.

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Now, we will have to find the selling price of all the 12 sunglasses with the given selling price of 1 sunglass that was ₹960.

$12 \times 960 \\ \\ = 11,520$

So, the total selling price was ₹11520.

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As now, we could see that the total cost price is less than the total selling selling price,which means Sameer made profit.

$11520 - 9600 \\ \\ = 1,920$

So Sameer made the profit of ₹1,920