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Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people are provided with discounts on various products. The discount rate is given in percentage.

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

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

Total discount = \[x + y - \left( {\dfrac{{{\text{ }}xy}}{{100}}{\text{ }}} \right){\text{ }}\% \]…………………………………..(1)

Method 1:-

Let the marked price =Rs 100

First discount x = 20%

Second discount y = 5%

So applying formula (1) mentioned in hint

Total discount = \[20 + 5 - \left( {\dfrac{{{\text{ }}\left( {20} \right)\left( 5 \right)}}{{100}}{\text{ }}} \right){\text{ }}\% \]

\[

= 25 - \left( {\dfrac{{{\text{ 100}}}}{{100}}{\text{ }}} \right){\text{ }}\% \\

= 25 - 1 \\

= 24 \\

\]

Method 2:-

First discount x = 20%

Price to be paid is = 0.80 of market price

Second discount y = 5% = 0.95

Price to be paid is = 0.95 of market price

So, total discount = $1 - \left( {0.80{\rm X}0.95} \right) = 0.24 = 24\% $

A single discount to two successive discounts of 20% and 5% is 24%.

Case 1: Successive discount 10% and then 20%, Final price you’ve to pay = 0.90 x 0.80 x original price = 0.72 x original price

Case 2: Discount offered=29%, Final price you’ve to pay = 0.71 times original price, which is less than Case 1, means it is a better deal.