What is the formla to calculate the overal discount after giving sucessive discounts?
Answers
Answer:
Successive Discount Formula
June 23, 2019
Successive Discount Formula in Profit and Loss
This page covers Successive Discount Formula and 3 successive discount formula.
What is Successive Discount?
It is basically offering a discount on a product multiple times i.e. one discount after another. Example of such Question will be –
Ques. An online shopping website sells a product for 1000Rs and then gives 10% discount and he then once again offers a discount of 20% on the discounted value. What is the final price of the product?
Let initial number be 100.
repeated discount problem and successive discount formula
or
Once you practice you can just directly calculate in mind like this and you don’t need Successive Discount Formula.
Successive Discounts formulas tips, tricks and quick way to solve
It is quiet obvious that for 100, after giving x% discount the price will be 100 – x. So, (100 – 10) = 90
For 90 we do same thing again we calculate 20% 90, which easily can be 2x(10% of 90) = 2x(9) =18
So 20 % now is 18, thus after discount price will be 90 – 18 = Rs72.
Thus for 1000. 72(1000/100) = Rs720 Answer
Now that was easy but now let’s suppose they had said, discounts were 17% and 24% then the process becomes a little tricky but we guarantee once you practice this trick you can solve any problem within 20 seconds.
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Answer:
Step-by-step explanation:
What is Successive Discount?
It means discount on the discount. (Analogous to Compound Interest rate which signifies interest on interest)
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)%
Example: The marked price of a shirt is Rs.1000. A shopkeeper offers 10% discount on this shirt and then again offers 20% discount on the new price. How much will you have to pay, finally?
Solution:
As the successive discount is 10% and 20%
Total discount = ( x + y - xy / 100 ) %
x = 10% and y = 20%
Total discount = [ 10 + 20 – ( 10 x 20) / 100] % = ( 30 – 200 /100 ) % = 28%
Discount = 28% of 1000 = ( 28 / 100 ) x 1000 = Rs 280
Selling price (SP)= Marked price (MP) – Discount = 1000-280 = Rs720
Case 1: If there are three discounts:
It means discount on the discount on the discount. (Analogous to Compound Interest rate which signifies interest on interest)
If there are three discounts as x%, y% and z% then find the total discount of x % and y% first and using it find the total discount with z%
Example: The marked price of a shirt is Rs.1000. A shopkeeper offers 10% discount on this shirt and then again offers 20% discount on the new price, and then and then again offers 30% discount on the new price . How much will you have to pay, finally?
Solution:
As the successive discount is 10% and 20% and then again 30%.Here we will move step by step and first calculate it for only two discounts, and then whatever the result comes, again calculating it fotr the result we got and the remaining discount.
Total discount = (x + y - xy / 100) %
x = 10%, y = 20% and z = 30%
Total discount = [10 + 20 – (10 x 20) / 100] % = (30 – 200 /100) % = 28% (let us say d)
Now, d= 28 % & z = 30 %
Total discount = (d + z - dz / 100) %
Final discount = [28 + 30 – (28 x 30) / 100] % = (58 – 840 /100) % = 49.6%
Which means Discount = 49.6% of 1000 = (49.6 / 100) x 1000 Rs 496
Selling price = M.P – Discount = 1000- 496 = 504
Tips and Tricks to Solve Succesive Discount based Questions
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 baesed questuion quickly
Example: The marked price of a shirt is Rs.1000. A shopkeeper offers
Case 1: 10% discount on this shirt and then again offers 20% discount on the new price.
Case 2: 29 % discount
Which is the better deal?
Solution:
Case 1: We have already solved case 1 & the net discount came out to be 28 % only, means Selling price = Rs 720
Case 2: In case 2 we are getting Flat 29% discount which means, this deal is better for you as Selling price = Rs 710
But to arrive to this point we have to do a hell lot of calculation.What you can do is use shortcut technique
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 abetter deal.
This was all about tips and tricks to solve Succesive Discount based questions.So try the above tips and tricks on the questions based on Successive Discount.