Question

Rajan bought a book for Rs.180 and sold it to Sajan at a profit of 20% Sajan sold that book to Nirajan at a loss id 20% At what price Nirajan should sell the book to receive 5% . profit ?​

Answer 1

Step-by-step explanation:

If this answer helps you so mark me as a brainliest ....

Answer 2

Correct Question

Rajan bought a book for ₹180 and sold it to Sajan at a profit of 20%. Sajan sold thag book to Nirajan at a loss of 20%. At what price should Nirajan should sell the book to receive 5% of profit?

Answer

Given :

Cost paid by Rajan to buy book : ₹180

Profit percent of Rajan : 20%

Loss percent of Sajan : 20%

To find :

The profit percent obtained to Nirajan while selling that book.

Solution :

First, we should find the selling price of Rajan. The selling price of Rajan is same as cost price of Sajan.

Selling price of Rajan :

${\sf \dashrightarrow \dfrac{(100 + Profit\%)}{100} \times CP}$

${\sf \dashrightarrow \dfrac{(100 + 20)}{100} \times 180}$

${\sf \dashrightarrow \dfrac{120}{100} \times 180}$

${\sf \dashrightarrow \dfrac{6}{5} \times 180}$

${\sf \dashrightarrow \dfrac{6 \times 180}{5} = \dfrac{1080}{5}}$

${\sf \dashrightarrow \cancel \dfrac{180}{5} = 216}$

Now, let's find the selling price of Sajan. The selling price of Sajan is same as cost price of Niranjan.

Selling price of Sajan :

${\sf \dashrightarrow \dfrac{(100 - Loss\%)}{100} \times CP}$

${\sf \dashrightarrow \dfrac{(100 - 20)}{100} \times 216}$

${\sf \dashrightarrow \dfrac{80}{100} \times 216}$

${\sf \dashrightarrow \dfrac{4}{5} \times 216}$

${\sf \dashrightarrow \dfrac{4 \times 216}{5} = \dfrac{864}{5}}$

${\sf \dashrightarrow \cancel \dfrac{864}{5} = 172.8}$

Now, we can find our answer to this question.

Selling price of Nirajan :

${\sf \dashrightarrow \dfrac{(100 + Profit\%)}{100} \times CP}$

${\sf \dashrightarrow \dfrac{(100 + 5)}{100} \times 172.8}$

${\sf \dashrightarrow \dfrac{105}{100} \times 172.8}$

${\sf \dashrightarrow \dfrac{21}{20} \times 172.8}$

${\sf \dashrightarrow \dfrac{21 \times 172.8}{20} = \dfrac{3628.8}{20}}$

${\sf \dashrightarrow \cancel \dfrac{3628.8}{20} = 181.44}$

Hence, Nirajan should sell that book at ₹181.44 to recieve a profit of 5%.