Question

a shopkeeper gives 11℅ on a television set,hence the cost price of it is Rs 22,250. then find the marked price of the television set.

Answer 1

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SHOPKEEPER GIVES A DISCOUNT OF 11%

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LET,

THE MARKED PRICE BE 100 X

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SHOPKEEPER GAVE 11% DISCOUNT

100X * 11%

11 /100*100X

11X

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SO THE SELLING PRICE WILL BE

100X - 11X

89X

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WE HAVE GIVEN THE SELLING PRICE THAT IS 22,250RS....

SO

89X = 22,250

X = 22,250 / 89

X = 250

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THE SELLING PRICE WAS = 100X

MEANS 100 * 250

=> " 25,000 RS. " <=

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THANKS !

Answer 2

$\underline{\underline{\maltese\: \: \textbf{\textsf{Answer}}}}$

$\sf\small\underline\red{Given \: that:-}$

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

$\sf\small\underline\red{To \: find:-}$

The market price of the television set.

$\sf\small\underline\red{Solution:-}$

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

$\sf\small\underline\red{Full \: Solution:-}$

~ 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.

${\sf{:\implies \therefore \: \: \dfrac{89}{100} \: = \dfrac{22,250}{Marked \: price}}}$

${\sf{:\implies 89 \times Marked \: price \: = 100 \times 22,250}}$

${\sf{:\implies 89 \times Marked \: price \: = 22,25,000}}$

${\sf{:\implies Marked \: price \: = \dfrac{22,25,000}{89}}}$

${\sf{:\implies Marked \: price \: = 25,000 \: Rupees}}$

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

Some important formulas -

$\begin{gathered}\begin{gathered}\small\begin{gathered}\begin{gathered}\large\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

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