Question

After a discount of 30% on a book, Karan bought it for ₹ 84. What was the original price of the book?

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Answer 1

SOLUTION

GIVEN

After a discount of 30% on a book, Karan bought it for ₹ 84

TO DETERMINE

The original price of the book

EVALUATION

Let the original price of the book = ₹ P

Now it is given that Karan bought the book after a discount of 30%

So Karan bought it for

$\displaystyle\sf{ = P - \bigg(P \times \frac{30}{100} \bigg)}$

$\displaystyle\sf{ = P - \frac{30P}{100} }$

$\displaystyle\sf{ = \frac{70P}{100} }$

$\displaystyle\sf{ = \frac{7P}{10} }$

So by the given condition

$\displaystyle\sf{ \frac{7P}{10} = 84 }$

$\displaystyle\sf{ \implies \: P = 84 \times \frac{10}{7} }$

$\displaystyle\sf{ \implies \: P = 12 \times 10 }$

$\displaystyle\sf{ \implies \: P = 120 }$

FINAL ANSWER

The original price of the book = ₹ 120

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Answer 2

AnswEr-:

• $\underline { \mathrm {\red {\dag{ The \:Original \:Price \:of\:Book\:is\:Rs. 120 }}}}$

Explanation-:

• $\mathrm { Given-:}$

• Discount Given is of 30 % on the book .
• Karan Bought that book or Selling Price of Book is Rs.84 .

• $\mathrm { To\:Find-:}$

• The Original Price or Marked Price of Book .

$\mathrm {\dag{ Solution \:of\:Question-:}}$

• $\mathrm { Let's \: Assume-:}$

• The Original Price or Marked Price be x .

Now , it's Given that Karan bought that book after allowing discount of 30 % .

Then ,

• Karan bought that book for -:

• $\longrightarrow{\mathrm { x \left( x - \dfrac{30}{100} \right) }}$

Now , By Simplifying it ,

• $\longrightarrow{\mathrm { x \left( x - \dfrac{30}{100} \right) }}$

• $\longrightarrow{\mathrm { x - \dfrac{30x}{100} }}$

As , We know that .

• [ L.C.M of 100 is 100 ]

• $\longrightarrow{\mathrm { \dfrac{100x - 30x}{100} }}$

• $\longrightarrow{\mathrm { \dfrac{ 70x}{100} }}$

• $\longrightarrow{\mathrm { \dfrac{ 7\cancel{0}x}{10\cancel{0}} }}$

• $\longrightarrow{\mathrm { \dfrac{ 7x}{10} }}$

It is given that ,

1. Karan Bought that book for Rs.84 .

Then ,

• $\longrightarrow{\mathrm { 84 = \dfrac{ 7x}{10} }}$

Now , Here Solving for x .

• $\longrightarrow{\mathrm { 84 = \dfrac{ 7x}{10} }}$

By Transposing -:

• $\longrightarrow{\mathrm { x = \dfrac{ 84 \times 10 }{7} }}$

• $\longrightarrow{\mathrm { x = \dfrac{ 840 }{7} }}$

• $\longrightarrow{\mathrm { x = \dfrac{ \cancel {840} }{\cancel {7}} }}$

• $\longrightarrow{\mathrm { x = Rs. 120 }}$

Then ,

• $\longrightarrow{\mathrm { Original \: Price = x = Rs. 120 }}$

Hence ,

• $\underline { \mathrm {\red {\dag{ The \:Original \:Price \:of\:Book\:is\:Rs. 120 }}}}$

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