Question

Q. The cost of a flower vase is Rs 120. If the shopkeeper sells it at a loss of 10%, find the price at which it is sold.​

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Answer 1

Concept :

• Here, in the above question, the concept of profit & loss has been used. Here, cost price & loss % is given. And we have to find the price at which it was sold means Selling price. For solving this question, we will use this formula :-

• $\boxed {\sf{ S.P. \: = \dfrac{(100 - loss \: \%)}{100} \: \times C.P. }}$

So, by applying this formula, we will calculate the final result. (Selling price)

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Given :

• C.P. of flower vase = ₹ 120

• Loss% = 10%

To Find :

• Selling price.

Calculation :

$\dag$ As we know that,

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

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$\dag\;{\underline{\frak{Putting\:the\:values\:,}}}$

$\sf{\longrightarrow \dfrac{100 - loss \: \%}{100} \times C.P. } \\ \\ \\ \sf{\longrightarrow \dfrac{100 - 10}{100} \times 120 } \\ \\ \\ \sf{\longrightarrow \dfrac{90}{100} \times 120} \\ \\ \ \\ \ \sf \: \longrightarrow \: 9 \times 12 \\ \\ \\ \longrightarrow \underline{\boxed{\bf{Rs. \: \: 108 }}} \: \red{\bigstar}$⠀

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$\therefore$ Hence, the flower vase was sold for Rs. 108.

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