Question

14. A microwave is sold for 7600 after allowing a discount of 5%. Find its marked price.
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Answer 1

Question :-

A microwave is sold for 7600 after allowing a discount of 5%. Find its marked price.

Given :-

• Selling price = ₹7600
• Discount = 5%

To Find :-

Marked price

Formula to use :-

$Selling \:\:Price = \dfrac{100-Loss\%}{100} \times Marked \:\: Price$

Let marked price be ₹x

When there is a discount, the marked price is greater than the selling price, we can assume discount to be the loss%.

Substituting the values,

$7600 = \dfrac{100-5}{100} \times x$

$7600 = \dfrac{95}{100} \times x$

Transposing $\dfrac{95}{100}$ to the LHS (Left hand side)

$\dfrac{7600}{\dfrac{95}{100} } =x$

$\dfrac{7600\times 100}{95} = x$

By reducing to the lowest terms,

$80\times 100 = x$

₹8000 = x

Hence,

Marked price = ₹8000

Some more formulas :-

$Selling \:\: Price = \dfrac{100+Profit\%}{100} \times Cost \:\:Price$

$Cost \:\: Price = \dfrac{100}{100+Profit\%} \times Selling \:\: Price$

$Cost \:\: Price = \dfrac{100}{100-Loss\%} \times Selling \:\:Price$

Answer 2

Question :

A microwave is sold for 7600 after allowing a discount of 5%. Find its marked price.

Answer :

$\sf\pink{Given:}$

• selling price is Rs 7600 .

• Discount percentage is 5% .

$\sf\pink{To\:find:}$

• marked price ?

Explanation :

Marked price - selling price = discount.

Discount % = $\sf{\dfrac{Discount}{Marked\:Price}\times 100}$

Let the marked price be "x"

$\longrightarrow\sf{ 5 = \dfrac{ x - 7600}{x}\times 100}$

$\longrightarrow\sf{ 5x = 100\times (x - 7600)}$

$\longrightarrow\sf{ 5x = 100x - 760000}$

$\longrightarrow\sf{ 5x + 760000 = 100x}$

$\longrightarrow\sf{760000 = 100x - 5x}$

$\longrightarrow\sf{760000 = 95x}$

$\longrightarrow\sf{x = \dfrac{760000}{95}}$

$\longrightarrow\sf{x = 8000}$

• Therefore the marked price is Rs 8000 .