Question

Rao bought notebook at the rate of 4 for rs 35 and sold them at the rate of 5 for rs 58 calculate (1) his gain percentage (2) the number of notebooks he should sell to earn a profit of rs 171

Answer 1

he must sell 60books to obtain rs171 as overall profit...

Answer 2

Answer:

Step-by-step explanation:

Concept:

• Cost price is the complete sum of money that a manufacturer must spend to create a specific good or render a specific service.
• The cost a consumer pays to buy a good or a commodity is known as the selling price. It is a price that is higher than the cost price and also includes a portion of the profit. The cost price is the amount paid by the seller for the good or service.

Given:

Rao purchased notebooks at a price of $4$ for $35$ rupees and sold them at a price of $5$ for $58$ rupees.

Find:

To find the gain percentage and the number of notebooks he should sell to earn a profit of Rs $171$.

Step by Step Solution:

Assume that the number of note books bought$=20$

Now the LCM of $4$ and $5$ is $20$

Cost Price of the notebooks$=35/4\times20$

$=35\times5\\=Rs. 175$

The selling price for the note books $=58/5\times20$

$=58\times4\\=Rs. 232$

Step 1: Find his gain percentage

Gain = S.P - C.P

Insert the values

$\begin{aligned}&=232-175 \\&=\text { Rs. } 57\end{aligned}$

Here

Gain $\%=[ Gain C.P. \times 100] \%$

Let us substitute the values

$=[57 / 175 \times 100] \%$

Simplify further

$=[57 / 7 \times 4] \%$

So we get

$=228 / 7 \%$

$=32 \frac{4}{7} \%$

Step 2: Find the number of notebooks he should sell to earn a profit of Rs$171$.

The quantity of note books sold when the profit is Rs. $57 =20$

The number of notebooks sold when the profit is Rs.$=20 / 57$

The number of notebooks sold when the profit is $Rs. 171 =20 / 57 \times 171$

$=20 \times 3$

$=60$

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