Question

by selling a cap for ₹34.40 ,a man gains 7.5%.what will be the cost price of the cap?

Answer 1

As the formula states that CP = {100/ (100 + Gain% ) } ×SP

Here given that :- SP = 34.40

Gain% = 7.5%

So, {100/(100+15/2)} × 34.40

= (200/215) × 34.40

= 32

so from here it is clear that the CP of the cap is rs.32.

Answer 2

The cost price of cap is Rs. 32.

Formula for Selling price:

Selling Price = Cost Price + Profit Margin

Given:

The selling price of a cap $=R s 34.40$

Profit made by selling is  $7 \frac{1}{2}=\frac{15}{2} \%$  of C.P.

Explanation:

Let $C \cdot P=R s x$

Applying the formula

S.P = C.P + profit

$\begin{aligned}&x+\frac{x \times 15}{2 \times 100}=34.40 \\&\Rightarrow \frac{40 x+3 x}{40}=34.40 \\&\Rightarrow 43 x=34 \cdot 40 \times 40 \\&\Rightarrow x=\frac{34 \cdot 40 \times 40}{43}=R s 32\end{aligned}$

Thus, the cost price of the cap comes out to be Rs. 32.

To know more about cost price and selling price, here

https://brainly.in/question/889006?msp_poc_exp=2

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