A shopkeeper gives 11% discount on a television set hence a cost price of it is Rs.2,2250 then find the market price of the televi

2 thoughts on “A shopkeeper gives 11% discount on a television set hence a cost price of it is Rs.2,2250 then find the market price of the televi”

1. Given that: A shopkeeper gives 11% discount on a television set hence a cost price of it is Rs. 22,250

   To find: The market price of the television set.

   Solution: The market price of the television set = Rupees 25,000

   Full Solution:

   ~ Firstly as it’s given that the discount price of the television set is 11 percentage. Let the marked price be 100 Rupees. Then it is cleared that the customer have to pay (100-11) Rupees means 89 Rupees have to pay. And as the cost price is 22,250 Rupees.

   [tex]{\sf{:\implies \therefore \: \: \dfrac{89}{100} \: = \dfrac{22,250}{Marked \: price}}}[/tex]

   [tex]{\sf{:\implies 89 \times Marked \: price \: = 100 \times 22,250}}[/tex]

   [tex]{\sf{:\implies 89 \times Marked \: price \: = 22,25,000}}[/tex]

   [tex]{\sf{:\implies Marked \: price \: = \dfrac{22,25,000}{89}}}[/tex]

   [tex]{\sf{:\implies Marked \: price \: = 25,000 \: Rupees}}[/tex]

   Henceforth, 25,000 Rupees is the market price of the television set.

   Some important formulas –

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

   Knowledge:

   • 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

   Where,

   ↝ P denotes Principal

   ↝ R denotes rate of interest

   ↝ n denotes time

   ↝ R/2 denotes half yearly rate

   ↝ 2n denotes number of half year

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2. Answer:

   • The marked price of the television set is Rs 25000.

   Step-by-step explanation:

   Given that:

   • A shopkeeper gives 11% discount on a television set hence a cost price of it is Rs. 22,250.

   To Find:

   • The marked price of the television set.

   Let us assume:

   • The marked price of television set be Rs x.

   Formula used:

   • SP = {(100 – Discount%) × MP}/SP

   Where,

   • SP = Selling price
   • MP = Marked price

   Finding the selling price:

   ⟶ SP = {(100 – Discount%) × MP}/100

   ⟶ SP = {(100 – 11) × x}/100

   ⟶ SP = {89 × x}/100

   ⟶ SP = 0.89x

   ∴ Selling price = Rs 0.89x

   Now we have:

   • Selling price of TV set = Rs 22,250

   Because the given amount is the cost price of TV set for the customer but selling price for the shopkeeper.

   Finding the marked price:

   According to the question.

   ⇒ 0.89x = 22250

   ⇒ x = 22250/0.89

   ⇒ x = 25000

   ∴ Marked price = Rs 25000

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