Question

a Baker makes a profit of rupees 20% by selling a cake for rupees 408. at what price should he sell it to gain 30%

please answer me this question ​

Answer 1

Answer:

3.2

Step-by-step explanation:

Let no. of cakes be 100 and each cake is Rs. 100

Then, C.P. =100×100= Rs. 10000

He will earn profit =40%

MP of each cake = Rs. 140

Now S.P. of 24 cakes = 24×

100

80

×100=Rs. 1920

S.P. of 60 cakes = 60×140= Rs. 8400

Total S.P. =8400+1920= Rs. 10320

Profit =10320−10000=320

Required Profit % =

10000

320

×100=3.2%

Answer 2

Given:

Profit % of the baker$=20%$%

Selling price (S.P.)$=Rs. 408$

To find: the Selling price if the gain percent is at 30%.

Solution:

Find the CP of the cake.

$\[CP = \frac{{\left( {100 - \Pr ofit\% } \right)}}{{100}} \times SP\]$

$\[\begin{array}{l} \Rightarrow CP = \frac{{\left( {100 - 20} \right)}}{{100}} \times 408\\ \Rightarrow CP = \frac{{80}}{{100}} \times 408\\ \Rightarrow CP = Rs.\,326.4\end{array}\]$

Therefore, the cost price (CP) of the cake is Rs. $326.4$.

Find the Selling price if the gain percent is at 30%.

$\[SP = \frac{{\left( {100 + \Pr ofit\% } \right)}}{{100}} \times CP\]$

$\[\begin{array}{l} \Rightarrow SP = \frac{{\left( {100 + 30} \right)}}{{100}} \times 408\\ \Rightarrow SP = \frac{{130}}{{100}} \times 408\\ \Rightarrow SP = Rs.\,424.34\end{array}\]$

Hence, the Selling price if the gain percent is at 30% is Rs. $424.34$.