What will be the ratio of a number obtained by taking the following two steps alternatively in a num

susmit   11 years AGO

Let the number be 100.
It is decreased by 20%, so it becomes 80
Now it is increased by 20% so it becomes 80*1.2 = 96
Hence the ratio is 96/100 = 0.96
Hence option no. (7)

Like? Yes (14) | No (3)  

raghuram dharmavarpu   11 years AGO

assume the number is 100
decreased by 20%, 100-(100*20/100)=80
increased by 20%, 80+(80*20/100)=96
ratio=96/100=0.96

Like? Yes (6) | No (1)  

Suman   11 years AGO

Let the number is 100
first step is decreased by 20% so the number becomes (100-20) i.e 80
again increased by 20% is (80+80*20%) i.e 96
so the ratio is 96/100 i.e .96

Like? Yes (4) | No (2)  

Dr.Dipin Singh   11 years AGO

new number = 0.8*1.2* old number
new number/old number = 0.96

Like? Yes (2) | No   

Udhaya kumar   11 years AGO

let number as x
decreasing 20 % = 1-0.2 x = 0.8x
increasing 20 % = 0.8*0.2 x = 0.96x
ratio = 0.96x/x = 0.96........

Like? Yes (3) | No (2)  

Vignesh T   11 years AGO

let no be X so 20% reduction means then no becomes X-0.20X =0.8X
now no is increased by 20 % so
0.8X + 0.2x0.8X = 1.2x0.8X = 0.96X
so ratio to the no itself is 0.96

Like? Yes (1) | No   

ramneet kaur   11 years AGO

let the no be 100
20% decrease so no becomes 80
n then 20%increase so no becomes 96
so ratio 96/100 =0.96

Like? Yes (2) | No (1)  

VIVEK SINHA   11 years AGO

let number is x.now follow the steps:

1.number is decreased by 20% so now number is: x - x*20% = x - 0.2*x = 0.8*x .

2.number is increased by 20% so now number is:
0.8*x + 0.8*x*20% = 0.8*x + 0.8*x*0.2 = 0.96*x.

So number obtained by taking the above two steps alternatively in a number = 0.96*x

& the number itself = x.

therefore ratio will be = 0.96*x/x = 0.96.

option 7 is correct.

Like? Yes (2) | No (1)  

jahnavi   11 years AGO

1)0.8x
2)0.96x
ratio=0.96/1

Like? Yes (1) | No   

Parveen Soni   11 years AGO

let no. be 100
now 20% decrements means 20% of 100 i.e. 20
no. is 100-20=80
now 20% increments means 20% of 80=16
new no. is 80+16=96
hence ratio is 96/100=0.96

Like? Yes (2) | No (1)  

Sateesh   11 years AGO

80/100*x=0.8x;
120/100*0.8x=0.96x

Like? Yes (1) | No   

jatin patware   11 years AGO

suppose number is one
so by first step number is equal to 1-0.2=.8
then increased by 20% means .8*.2+.8=0.96
so ratio is 0.96/1
hence option 7 is correct.

Like? Yes (2) | No (1)  

hemant kumar   11 years AGO

lets number is x
then x *.8 * 1.2 =.96 x

hence ratio will be .96 x /x =.96

one more thing word should be sequentially not alternatively . because with alternatively no meaning of question

Like? Yes (2) | No (2)  

Devendra Marghade   11 years AGO

if number=x
First decreased by 20% gives x-(x*20/100)=0.8x
then increased by 20% gives 0.8x+(0.8x*20/100)=0.96x

Like? Yes (1) | No (1)  

b.s.venkatesh   11 years AGO

96/100
.96

Like? Yes (2) | No (2)  

Prabhat Yadav   11 years AGO

let a number be x
first i calculate 20% of a number x,then do
=x-(20%of x)-----step 1
=0.8
then do
=0.8+(20% of 0.8)
=0.96

Like? Yes (2) | No (2)  

Dipak Shaw   11 years AGO

Let the no. is 100
a) decrease by 20% = 100 * 20% = 80
b) increase by 20% = 80 * 20% = 96
ratio = 96/100 = 0.96

Like? Yes (2) | No (2)  

Shubham Saxena   11 years AGO

let a number be x
first i calculate 20% of a number x,then do
=x-(20%of x)-----step 1
=0.8
then do
=0.8+(20% of 0.8)
=0.96

Like? Yes (2) | No (2)  

Gundavarapu Parameswari   11 years AGO

.8x+(.2*.8)x
= .96x
.96x/x =.96

Like? Yes (2) | No (2)  

Gautham Sarang   11 years AGO

if num is decrsd by 20% we get 80%
thn we tak th 20% 80% of num = 16%
so 80%+ 16= 96%==.96

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KRISHNAN   11 years AGO

If we assume the number as 10
the 20% reduced from 10 is 8
and 20 increased from 8 is 9.6

therefore the ratio would 10:9.6 or 1:0.96

Thus the Answer is 0.96

Like? Yes (2) | No (2)  

ChinnaChowdaiah   11 years AGO

Take the example to prove this.
let x=100
decreased 20% so it will be 80.
80 increased by 20% so it will be 96.
so ratio of 96 which is generated because following steps and to 100 which is original number will be 96/100=0.96

Like? Yes (1) | No (1)  

Anantharaman   11 years AGO

Assume any valid integer n => 60

Number decreased by 20% = 60-(60*20/100)= 48
Resultant Number increased by 20% = 48+(48*20/100) = 57.6


Ratio between the resultant number to the original number itself = 57.6/60 = 0.96

Option 7

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avinash   11 years AGO

if number is x then after decreasing 20% number is .8x and after increasing 20% number is .96

Like? Yes (1) | No (1)  

ARJYA HALDER   11 years AGO

Let,the no. be 100.
Decreasing 20% we get 80.
Now, increasing 20% we get 96.
So, the ratio is (96:100)=0.96
So, option 7 is right.

Like? Yes (1) | No (1)  

Chandni Maurya   11 years AGO

ans=0.96
let x be the no.
step1: x-x*20/100 = x-0.20x =0.80x
step2: 0.80x+0.80*x*20/100 = 0.80x+0.16x=0.96x
ratio = 0.96x/x = 0.96

Like? Yes (1) | No (1)  

krishn kumar gupta   11 years AGO

let the number is =x
first decreased by 20% or say (x-x/5)
then increased by 20% or say (x-x/5)+20/100(x-x/5)
ratio=(x-x/5)+20/100(x-x/5):x=0.96

Like? Yes (1) | No (1)  

abhiram pandey avinashi   11 years AGO

take a number, for example 100
20% increase then 120 now 20% decrease so 96.
96/100= 0.96

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Ayush Rastogi   11 years AGO

let the number is 100
then

100- 20% of 100=80
80 + 20% of 80 =96

96/100=.96

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Rashmi bharti   11 years AGO

let the no is x
((24x/25)/x)=0.96

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mirtunjay verma   11 years AGO

let number is 100 the follow to step..we get 96..so ratio will be 0.96

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pawan kumar   11 years AGO

let the number be 100. Then after decreasing by 20%, it is 80. Finally it is increased by 20% so it becomes 96. The ratio of 96 and 100 comes out to by 0.96

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sandy   11 years AGO

let the number be 100
100 decreased by 80% then it becomes 80
then 80 is increased by 20 then (120*80)/100=96
then ratio=96/100=0.96

Like? Yes (2) | No (2)  

Rajulapati Tirumala Rao   11 years AGO

(1-0.2) + (1-0.2)(0.2) = 0.8 + 0.16 = 0.96
[ where -0.2 indicate 20% decrease in number and addition with 0.2 times the obtained number is the Result ] .

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Mithun Kumar Kesari   11 years AGO

96/100=0.96

Like? Yes (2) | No (2)