Question

Mohan bought a certain number of note books for Rs.600. He sold 1/4 of them at 5 percent loss. At what price should he sell the remaining note books so as to gain 10% on the whole (Please show it in step by step correctly, and I will mark you as the brainlest)​

Answer 1

142.5$. So, he sold $\dfrac{1}{4}$th of books for Rs. 142.5 ---(1).

Answer 2

Answer:

Mohan bought a certain number of notebooks for Rs. 600 and sold 14 of them at 5% loss. We need to find the price to sell the remaining notebooks in order to gain 10% on the whole.

Let us find the price of 14th of the books i.e., 14×600=Rs.150.

But Mohan sold these books at 5% loss. This means that Mohan sold them at (100−5)%=95% of the price he bought.

So, the price of these 1 4th of books is 95% of Rs.150.

We know that a% of b is defined as a100×b.

So, 95% of Rs.150=95100×150.

⇒95% of Rs.150=0.95×150.

⇒95% of Rs.150=Rs.142.5.

So, he sold 14th of books for Rs. 142.5 ---(1).

Now, let us find the amount that he needs to sell all the books in order to get 10% gain.

So, the selling price of the total is (100+10)%=110% of the total price of Rs. 600.

So, we get 110% of Rs.600=110100×600.

⇒110% of Rs.600=1.1×600.

⇒110% of Rs.600=Rs.660 ---(2).

Now, let us subtract the amount that we got in equation (1) from equation (2) which will be the selling price of the remaining books.

So, the selling price of the remaining books is Rs.(660−142.5)=Rs.517.5.

We have found the selling price of remaining books as Rs. 517.5.