bu selling a camera for 2400rupees, if mena loses 4%. at what price much she sell to gain 12%?​

2 thoughts on “bu selling a camera for 2400rupees, if mena loses 4%. at what price much she sell to gain 12%?​”

1. Answer:

   Rs 2800

   Step-by-step explanation:

   Let the original price be x. Man losses an amount of 4%:

   ⇒ orig. price – 4% of orig. = 2400

   ⇒ x – 4% of x = 2400

   ⇒ x – (4/100 × x) = 2400

   ⇒ (100x – 4x)/100 = 2400

   ⇒ x = (2400 × 100)/96

   ⇒ x = 2500

   For a gain of 12%:

   price would be = original + 12% of original

   = 2500 + (12/100 × 2400)

   = 2500 + 300

   = 2800

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2. Answer:

   [tex] \large\underline \red {\sf {\pmb{Given}}}[/tex]

   • ➛ A camera selling for 2400 rupees,

   [tex] \large \underline \red{\sf \pmb{To \: Find }}[/tex]

   • ➛ If mena loses 4%. at what price much she sell to gain 12%?

   [tex] \large \underline \red{ \sf \pmb{Using \: Formulas}}[/tex]

   [tex] \circ{ \underline{\boxed{ \sf \purple{ C.P} = \pink{\dfrac{100}{100-loss\%} \times S.P}}}}[/tex]

   [tex] \circ{\underline{\boxed{\sf \purple{ S.P} = \pink{\dfrac{100 + Profit\%}{100} \times C.P}}}}[/tex]

   [tex] \large \underline \red{\sf \pmb{Solution }}[/tex]

   [tex] \pink\bigstar \: \underline \frak{ \pmb{Firstly,Finding \: the \: cost \: price \: of \: camera}}[/tex]

   [tex] : \implies{ \sf{ C.P} ={\dfrac{100}{100-loss\%} \times S.P}}[/tex]

   • Substituting the values

   [tex] : \implies{ \sf{ C.P} ={\dfrac{100}{100 – 4} \times2400 }}[/tex]

   [tex] : \implies{ \sf{ C.P} ={\dfrac{100}{96} \times2400 }}[/tex]

   [tex] : \implies{ \sf{ C.P} ={\dfrac{100} {\cancel{96}} \times \cancel{2400 }}}[/tex]

   [tex] : \implies{ \sf{ C.P} =100 \times {25}}[/tex]

   [tex] : \implies{ \bf \red{{ C.P} = \times {2500}}}[/tex]

   • The cost price of camera is Rs.2500

   [tex] \pink\bigstar\underline\frak{ \pmb{Now,Finding \: the \: Selling \: price \: of \: camera }}[/tex]

   [tex] : \implies\sf{ S.P} ={\dfrac{100 + Profit\%}{100} \times C.P}[/tex]

   • Substituting the values

   [tex] : \implies\sf{ S.P} ={\dfrac{100 + 12}{100} \times 2500}[/tex]

   [tex] : \implies\sf{ S.P} ={\dfrac{112}{100} \times 2500}[/tex]

   [tex] : \implies\sf{ S.P} ={\dfrac{112} {\cancel{100}} \times \cancel{ 2500}}[/tex]

   [tex]: \implies\sf{ S.P} =112 \times 25[/tex]

   [tex]: \implies\bf \red{{ S.P} =2800}[/tex]

   • Henceforth,Mena sell the camera in Rs.2800 to gain 12%.

   [tex] \large \underline \red{ \sf \pmb{Additional \: Information}}[/tex]

   ★ Discount is a reduction given on market price.

   ★ Discount = Marketed price – Sale price.

   ★ Discount can be calculated when discount percentage is given.

   ★ Discount = Discount percentage of Marketed Price

   ➣ Additional expenses made after buying an article are included in the cost price and are known to be “overhead expenses”

   ★ CP = Buying Price + Overhead expenses.

   ➣ Sales tax is charged on sale of an item by the government and is added to the bill amount.

   ★ Sale tax = Tax % of bill amount

   ♛ Some extra formulas –

   ★ Amount when interest is compounded annually – P(1+R/100)^n

   ★ Amount when interest is compounded half yearly – P(1+R/200)^2n

   [tex]{\bf{Where,}}[/tex]

   • ↝ P denotes Principal
   • ↝ R denotes rate of interest
   • ↝ n denotes time
   • ↝ R/2 denotes half yearly rate
   • ↝ 2n denotes number of half year

   Some important formulas –

   [tex]\small\begin{gathered}\begin{gathered}\large\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{ 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} }\end{gathered}\end{gathered}[/tex]

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