
A single discount to two successive discounts of 20% and 5% is _________________%.
Answer
484.5k+ views
Hint:Discount refers to the condition of the price of a bond that is lower than the face value. The discount equals the difference between the price paid for and it’s par value.
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)
Complete step-by-step answer:
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%.
Note:The most important question is which discount is better among Successive discount and One Time Discount. So here by means of an example, we will explain the simple tricks to solve these Successive Discount based question quickly
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.
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)
Complete step-by-step answer:
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%.
Note:The most important question is which discount is better among Successive discount and One Time Discount. So here by means of an example, we will explain the simple tricks to solve these Successive Discount based question quickly
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.
Recently Updated Pages
Express the following as a fraction and simplify a class 7 maths CBSE

The length and width of a rectangle are in ratio of class 7 maths CBSE

The ratio of the income to the expenditure of a family class 7 maths CBSE

How do you write 025 million in scientific notatio class 7 maths CBSE

How do you convert 295 meters per second to kilometers class 7 maths CBSE

Write the following in Roman numerals 25819 class 7 maths CBSE

Trending doubts
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

Fill in the blanks with appropriate modals a Drivers class 7 english CBSE

What are the controls affecting the climate of Ind class 7 social science CBSE

The southernmost point of the Indian mainland is known class 7 social studies CBSE

What were the major teachings of Baba Guru Nanak class 7 social science CBSE

What was the approximate time period of the Indus Valley class 7 social science CBSE
