Question

Sara baked cakes for the school festival. The cost of one cake was Rs. 55. She sold 25 cakes

and made a profit of Rs. lion each cake. Find the selling price of the cakes​

Answer 1

The selling price of the cakes is Rs. 1650.

Given,

Sara baked cakes for the school festival. The cost of one cake was Rs. 55. She sold 25 cakes and made a profit of Rs. 11 on each cake.

To Find,

The selling price of the cakes =?

Solution,

We can solve the question as follows:

It is given that the cost of one cake was Rs. 55. Sara sold 25 cakes and made a profit of Rs. 11 on each cake. We have to find the selling price of the cakes.

$Cost\: of\: one\: cake = Rs.\: 55$

$Total\: cakes = 25$

$Profit\: on\: each\: cake = Rs.\: 11$

If the cost price of one cake is Rs. 55, the cost price of 25 cakes will be:

$Cost\: price\: of\: 25\: cakes = Price\: of\: one\: cake*25$

                                  $= 55*25$

                                  $= Rs.\: 1375$

If the profit on each cake is Rs. 11, then the profit on 25 cakes will be:

$Profit\: on\: 25\: cakes = Profit\: on\: one\: cake*25$

                             $= 11*25$

                             $=Rs.\: 275$

Now,

The formula for finding the selling price is given as:

$Selling\: price = Cost\: price + Profit$

Substituting the values in the above formula for 25 cakes,

$Selling\: price = 1375 + 275 = Rs.\: 1650$

Hence, the selling price of the cakes is Rs. 1650.

Answer 2

Answer:

The (total) selling price of the cakes is Rs. 1650, and the selling price per cake is Rs. 66

Step-by-step explanation:

To solve this question, we first list down its given data, our requirement, and the necessary formula to solve the problem.

• Given -

No. of cakes sold = 25

Cost of 1 cake = Rs. 55

Profit per cake = Rs. 11

• To Find -

Selling price of the cakes

• Formula

$Selling\;price=cost\;price+profit$

• Solution

To find the cost price of the cakes -

Cost of 1 cake = Rs. 55

Total no. of cakes = 25

Thus, (total) cost price of cakes = $55\times25=Rs.1375$

Now, the profit on 1 cake = Rs. 11

Total no. of cakes = 25

Thus, (total) profit of cakes =$11\times25=Rs.275$

Now, using the aforementioned formula, we can find out the (total) selling price of the cakes -

$Selling\;price=cost\;price+profit$

                     $=1375+275$

                     $=Rs.1650$

Thus, the (total) selling price of the cakes is Rs. 1650.

We can find out the selling price of 1 cake is by dividing the total selling price by the number of cakes -

$Selling\;price\;of\;1\;cake=\frac{1650}{25} = Rs.66$

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