Question

the marked price of an article in two different stores is the same the first store allows two successive discounts of 23% and 28% the other allows a discount of 35% which is a better offer
Please answer in proper steps

Answer 1

Answer:

Step-by-step explanation:

Hello foreigner, Victory to India

Case 1: If there are two discounts:

The formula for total discount in case of successive-discounts:

If the first discount is x% and 2nd discount is y% then,

Total discount = ( x + y - xy /100)%

Answer 2

Answer:

First store

Step-by-step explanation:

(i)

Given that First store allows two successive discounts of 23% and 28%.

∴ Single-Equivalent discount

$= [1 -(1 - \frac{d_{1}}{100})(1 - \frac{d_{2}}{100})] * 100%$

$=[1 -(1 - \frac{23}{100})(1 - \frac{28}{100})] * 100%$

$=[1 - (0.77)(0.72)] * 100%$

$=[1 - 0.5544] * 100%$

= 44.56%

(ii)

Given that Second store offers a discount of 35%.

= [1 - (1 - 35/100)] * 100%

= [1 - (65/100)] * 100%

= [1 - 0.65] * 100%

= 35%.

Therefore, the deal offered by the first store is better.

Hope it helps