A discount series of 10%, 20% and 40% is equivalent to a single discount of

Sravanthi   9 years AGO

Let the initial price = 100
10% discount = 100*10/100 = 10
Remaining amount = 100 - 10 = 90
20% discount = 90*20/100 = 18
Remaining amount = 90 - 18 = 72
40% discount = 72*40/100 = 28.8
Total discount = 10+18+28.8 = 56.8
Since the initial price is assumed as 100, the single equivalent discount = 56.8%

Like? Yes (91) | No (20)  

Ramesh Sriram   9 years AGO

.9*.8*.6
1-.432
=56.8

Like? Yes (54) | No (14)  

jayalakshmi   9 years AGO

If 2 succesive discounts a% and b%
then net discount = a + b – (ab/100)

If 3 succesive discounts a%, b% and c%
then single discount
= a + b + c – (ab/100 + bc/100 + ca/100 – abc/10000)
In this case,
single discount
= 10 + 20 + 40 – (200/100 + 800/100 + 400/100 – 8000/10000)
= 70 – (14 – 0.8)
= 56.8 %

Like? Yes (35) | No (4)  

Sundar Kumar   9 years AGO

Let the initial price = 100
10% discount = 100*10/100 = 10
Remaining amount = 100 - 10 = 90
20% discount = 90*20/100 = 18
Remaining amount = 90 - 18 = 72
40% discount = 72*40/100 = 28.8
Total discount = 10+18+28.8 = 56.8
Since the initial price is assumed as 100, the single equivalent discount = 56.8%

Like? Yes (27) | No (10)  

SONU GUPTA   9 years AGO

10+20-10*20/100=28%
28+40-28*40/100=56.8%

Like? Yes (23) | No (7)  

MRITUNJAY   9 years AGO

find with formula
a+b-a*b/100
take two and find eduivalent
20+40-800/100=52
52+10-520/100=56.8

Like? Yes (23) | No (10)  

Pradeep   9 years AGO

If 2 succesive discounts a% and b%
then net discount = a + b – (ab/100)

If 3 succesive discounts a%, b% and c%
then single discount
= a + b + c – (ab/100 + bc/100 + ca/100 – abc/10000)
In this case,
single discount
= 10 + 20 + 40 – (200/100 + 800/100 + 400/100 – 8000/10000)
= 70 – (14 – 0.8)
= 56.8 %

(or )

its 56.8% off

Say something cost $10

10% off so now its $9.00
20% off of $9.00 becomes $7.20
40% off of $7.20 becomes $4.32

So the price is now $4.32 which is 43.2% of the original price, which means the total markdown is 56.8%

Like? Yes (8) | No (1)  

sasidhar   9 years AGO

let us take the c.p of the article be 100. then after giving the consecutive discounts of 10%,20%,40%. the s.p becomes 43.20. hence the overall discount obtained will be 56.8%

Like? Yes (11) | No (5)  

Yekollu Muneeswar   9 years AGO

Let suppose there is 100 rs

10% discount means (100*10)/100=10 => rs 90
20% discount means (90*20)/100=18 => rs 72
40% discount means (72*40)/100=28.8 => rs 43.20
So totally we are getting rs (100-43.20)=rs 56.8% of discount

option 8) 56.8%

Like? Yes (9) | No (4)  

merva.gayathri   9 years AGO

take 100
10% = 90
20% of 90 = 72
40% of 72 = 28.8
72-28.8 = 43.2%
equivalent discount 100-43.2 = 56.8%

Like? Yes (7) | No (4)  

Surit Datta   9 years AGO

Say something cost Rs. 10

10% off so now its Rs. 9.00
20% off of Rs. 9.00 becomes Rs. 7.20
40% off of Rs. 7.20 becomes Rs. 4.32

So the price is now Rs. 4.32 which is 43.2% of the original price, which means the total markdown is 56.8%
That's it.
Option 8.

Like? Yes (3) | No (2)  

Abhishek Porwal   9 years AGO

Let the initial price = 100
10% discount = 100*10/100 = 10
Remaining amount = 100 - 10 = 90
20% discount = 90*20/100 = 18
Remaining amount = 90 - 18 = 72
40% discount = 72*40/100 = 28.8
Total discount = 10+18+28.8 = 56.8
Since the initial price is assumed as
100, the single equivalent discount =
56.8%

Like? Yes (2) | No (1)  

llamar   9 years AGO

take initial value 100/-
10% discount--90/-
20% discount--90-18=78/-
40% discount--78-28.8=43.2/-
so the final selling price is 43.2/-
it will get by giving 56.8% in the initial value(i.e. 100/-)

Like? Yes (2) | No (1)  

naveen   9 years AGO

(100-100*10%)=90...(90-90*20%)=72...(72-72*40%)=43.20..discount=(100-43.20)

Like? Yes (2) | No (1)  

sravani   9 years AGO

90/100 * 80/100 *60/100 =43.2/100 = 56.8% discount of the original....

Like? Yes (7) | No (7)  

lakshmi   9 years AGO

Net SP = [100-40%] of [100-20%] of [100-10%] of Rs.100
= 60% of 80% of 90% of Rs.100
= 60/100 * 80/100 * 90/100 * 100
= 43.2
Required discount = 100 - 43.2 = 56.8

Like? Yes (2) | No (2)  

vikram   9 years AGO

a discount series of 10%, 20% and 40% is equivalent to a single discount of 56.8%

Like? Yes (1) | No (1)  

Md.Sultan Khichi   9 years AGO

Let the price is 100.
40%*100=40
20%*60=12
10%*(60-12)=4.8
48-4.8=43.2
100-43.2=56.8
Ans 56.8%

Like? Yes (2) | No (2)  

bhagya   9 years AGO

.9x (whats left over after a 10% discount)
.72x (80% of that)
.432x(60% of that)

So you're paying 43.2% which is a 56.8% dscount

Like? Yes (3) | No (3)  

Mithun Kumar Kesari   9 years AGO

56.8

Like? Yes (1) | No (1)  

CHANDA VIJAYALAKSHMI   9 years AGO

The easiest way to think about this is to start with a price of $100.

10% off a $100 dress would leave $90.

20% off a $90 dress would leave $72.

40% off a $72 dress would leave $43.20.

Now, what discount off of a $100 dress would give you a price of $43.20?

56.8%

Like? Yes (1) | No (1)  

Devendra Marghade   9 years AGO

If original value=x, then
Discounted value=x*0.9*0.8*0.6=0.432x
So % of single discount=(x- 0.432x)*100=56.8

Like? Yes (1) | No (1)  

lavanya   9 years AGO

its 56.8% off

Say something cost $10

10% off so now its $9.00
20% off of $9.00 becomes $7.20
40% off of $7.20 becomes $4.32

So the price is now $4.32 which is 43.2% of the original price, which means the total markdown is 56.8%

Like? Yes (2) | No (2)  

PAWAN KUMAR   9 years AGO

Let value before discount be Rs x.
The total amount after discount = x*0.9*0.8*0.6 = 0.432*x
Therefore, dicount = x-0.432*x = 0.568*x
So, discount% = 56.8%. Ans.

Like? Yes (2) | No (2)  

Supriya Mondal   9 years AGO

let price of the thing is Rs.100
then after giving 10% discount price will be Rs.90
then after giving 20% discount on it price will be Rs.72
then after giving 40% discount on it price will be Rs.43.2
So total discount is=(100-43.2)=Rs.56.8
So option 8)56.8% is the right answer

Like? Yes (3) | No (4)  

purushothama   9 years AGO

Net SP = [100-40%] of [100-20%] of [100-10%] of Rs.100
= 60% of 80% of 90% of Rs.100
= 60/100 * 80/100 * 90/100 * 100
= 43.2
Required discount = 100 - 43.2 = 56.8

Like? Yes (3) | No (4)  

Ashwin Dinesh   9 years AGO

10 + 18 + 28.8 = 56.8
which is option 8)

Like? Yes (2) | No (3)  

MRITUNJAY KUMAR   9 years AGO

Option)8

Like? Yes (2) | No (3)  

Vinay Sipani    9 years AGO

Consider for Rs 100

100 - 10% = 90
90 - 20% = 72
72 - 40% = 43.2

Toatal discount = 100 - 43.2 = 56.8%

Like? Yes (2) | No (5)