Question

A storekeeper sell a book at 15%gain. had he sold it for 18 more, he would have gained 18%.find the cost price of the book
plzz answer it step by step​

Answer 1

cost price of the book = Rs 600  if sold for rs 18 more than 15% gain , gain is 18%

Step-by-step explanation:

Simpler way 3 % extra gain ( 18% - 15% ) on selling for Rs 18 more

=> 3 % profit = Rs 18

=> Cost Price = Rs 600

Detailed

Let say Cost Price = Rs C

storekeeper sell a book at 15%gain.

=> Gain = (15/100)C = 0.15C

Selling Price with 15% gain = C + 0.15C = 1.15C

Sold for Rs 18 more

=> Selling Price = 1.15C + 18

Gain = 1.15C + 18 - C

= 0.15C + 18

Gain = 18 %

100 * (0.15C + 18)/C = 18

=> 15C + 1800 = 18C

=> 3C = 1800

=> C = 600

Cost Price of Book = Rs 600

Learn more

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Answer 2

Answer:

The Cost price is Rs.600.

Step-by-step explanation:

Given :

A storekeeper sell a book at 15%gain.

He sold it for 18 more, he would have gained 18%.

To Find :

The cost price of the book.

Solution :

Let the CP of book be x.

Now,

A store keeper sells a book at 15% gain .

So,

$\sf\\ \\\implies S_1=\dfrac{15}{100}\\ \\x=\dfrac{3}{20}x$

Now,

He would have gained 18%

So,

$\sf\\ \\\implies S_2=\dfrac{18}{100}\\ \\ \implies x=\dfrac{9}{50}x$

According to question,

$\sf\\ \\\implies S_2-S_1=18\\ \\ \\ \implies \dfrac{9}{50}x-\dfrac{3}{20}x=18\\ \\ \\\implies \dfrac{3}{100}x=18\\ \\ \\ \implies x=\dfrac{18\times}{3}\\ \\ \\ \implies x=600$

∴ The cost price is Rs.600.