Verified answer

Answer:

Given:

Discount percent = 5%

Profit percent = 23.5%

Calculation:

Let, the marked price of the article be Rs. 100x

Let, the cost price of the article be Rs. 100y

According to the question,

100y + 100y × 23.5/100 = 100x – 100x × 5/100

⇒ 123.5y = 95x

⇒ x = 247y/190 = 1.3y

Marked price of the article = Selling price when no discount is offered = 100x = 130y

Cost price of the article = 100y

∴ Profit percentage = (130y – 100y)/100y × 100 = 30%

Alternate Method Sunny 28.7.21

Let the CP be Rs. 100 and SP be Rs. 123.5

∴ MP will be 95% of x = 123.5

∴ x = 130

∴ The percentage of profit earned if no discount was offered will be 30%.

Answer:

To find the percentage of profit earned if no discount was offered, we can use the concept of cost price, selling price, and profit.

Let's assume the original cost price of the article (before offering any discount) is "C."

1. Selling Price with a 5% discount:

When the shopkeeper offered a 5% discount, the selling price (S1) can be calculated as:

S1 = C - 5% of C

S1 = C - 0.05C

S1 = 0.95C

2. Profit earned with a 5% discount:

The profit earned (P1) with a 5% discount is the difference between the selling price with a discount and the original cost price:

P1 = S1 - C

P1 = 0.95C - C

P1 = 0.95C - 1C

P1 = -0.05C

We know that P1 is 23.5% of the original cost price (C):

P1 = 23.5% of C

-0.05C = 0.235C

Now, let's calculate the percentage of profit earned without offering any discount:

3. Profit without offering any discount:

When no discount is offered, the selling price (S2) would be the same as the original cost price (C). Therefore, the profit earned (P2) without offering any discount would be:

P2 = S2 - C

P2 = C - C

P2 = 0

So, the profit without offering any discount is 0.

Percentage of Profit without offering any discount:

Percentage of Profit = (Profit without discount / Cost Price) * 100

Percentage of Profit = (0 / C) * 100

Percentage of Profit = 0%

Therefore, if no discount was offered, the percentage of profit earned would be 0%.

Step-by-step explanation: