Question

if the rate of discount dedicated on book is 20% of its marked price and the sale price of the book is Rs 64 what is the marked price of the book? ​

Answer 1

The marked price of the book was Rs. 80.

Step-by-step explanation:

The formula to compute the sales price of the book is:

$SP=MP[1-\frac{d}{100}]$

Given:

d = 20%

SP = 64

Compute the value of MP as follows:

$SP=MP[1-\frac{d}{100}]\\64=MP[1-\frac{20}{100}]\\64=MP\times 0.80\\MP=\frac{64}{0.80}\\MP=80$

Thus, the marked price of the book was Rs. 80.

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Answer 2

✬ Marked Price = Rs 80 ✬

Step-by-step explanation:

Given:

• Discount % dedicated on book is 20% of its marked price.
• Selling Price of book is Rs 64.

To Find:

• What is the marked price of the book ?

Solution: Let the marked price of the book be x.

➟ Discount on book = 20% of M.P

➟ Discount = 20/100 $\times$ x

➟ Discount = 20x/100

➟ Discount = x/5

As we know that :-

★ Selling Price = Marked Price – Discount ★

• Here, S.P = Rs 64, Discount = x/5 & M.P = x

$\implies{\rm }$ 64 = ( x – x/5 ) {Take LCM}

$\implies{\rm }$ 64 = ( 5x – x/5 )

$\implies{\rm }$ 64 = 4x/5

$\implies{\rm }$ 64 $\times$ 5 = 4x

$\implies{\rm }$ 320 = 4x

$\implies{\rm }$ 320/4 = x

$\implies{\rm }$ 80 = x

Hence, Marked Price of the book is x = Rs 80.