Question

Mamatha asks for two successive discounts of 7% and 3% on an article but the shopkeeper announces a single discount of 10%. If Mamatha accepts the deal made by the shopkeeper did she make a profit or loss and by how much percent?​

Answer 1

꧁ANSWER꧂ 

solution In the picture

Step-by-step explanation:

Answer 2

Mamatha makes a profit of 0.21%.

Given:

Successive discounts asked by Mamatha = 7% and 3%

Single discount announced by shopkeeper = 10%

To find:

Profit or loss in percentage if Mamatha accepts the deal

Solution:

Let us assume that the original price of the article = x

Case 1:

Price after 7% discount = $x - \frac{7x}{100}$ = $\frac{93x}{100}$

Price after a 3% discount on the updated price

= $\frac{93x}{100} - \frac{3(\frac{97x}{100})}{100}$

= $\frac{9021x}{10000}$

= $\frac{90.21x}{100}$

Case 2:

Price after 10% discount = $x - \frac{10x}{100}$ = $\frac{90x}{100}$

Clearly, $\frac{90.21x}{100}$ > $\frac{90x}{100}$

So, Mamatha makes a profit by accepting the deal.

Profit amount = $\frac{90.21x}{100}$ $- \frac{90x}{100}$ = $\frac{0.21x}{100}$

Profit percentage = $(\frac{\frac{0.21x}{100}}{x})100$ = 0.21%

Hence, Mamatha makes a profit of 0.21%.

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