Question

Shopkeeper give 11% discount on a television set the cost price of Rs. 22250. Find the market price of the television set

Answer 1

C.P.=22250

Discount = 11%

Discount =11/100×22250 =₹ 4895

M.P. = C.P. - discount

M.P. = 22250-4895 = ₹17355

Answer 2

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Shopkeeper give 11% discount on a television set the cost price of Rs. 22250. Find the market price of the television set

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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.

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

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

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

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

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

Hence forth, 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