Upendra's net income from 5% Government paper is Rs.1225 after paying an income tax at the rate of 2

M4maths Previous Puzzles

29 Dec 2015 Stock and Shares

Upendra's net income from 5% Government paper is Rs.1225 after paying an income tax at the rate of 2%. Find the number of shares of Rs.1000 each owned by him.

OPtion

1) 20
2) 55
3) 45
4) 35
5) 40
6) 30
7) 65
8) 60
9) 25
10)None of these

Solution

Face value of 1 share = Rs.1000
Gross income on 1 share = Rs.(5/100 * 1000) = Rs.50
Income tax on 1 share's income Rs.(2/100 * 50) = Re.1
Net income on 1 share = Rs.49
In the net income is Rs.49, number of share = 1
If the net income is Rs.1225, number of shares
= 1/49 * 1225 = 25
Option 9)

Correct Option: 9 Best Solution (14)

anjali gupta   9 years AGO

face value of 1 share= 1000
gross income on 1 share= 5 *1000/100 = 50
income tax on 1 share's income = 2*50 / 100 = 1
net income on 1 share = 50 - 1 = 49
no. of share for profit of Rs 49 = 1
no. of share for 1225 = 1225 / 49 = 25 :)

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vamsi krishna   9 years AGO

face value of 1 share = 1000 Rs
gross income on 1 Share = ( 5 x 1000/100) = 50 Rs
income tax on 1 share's income= ( 2x50/100) = 1 Rs
net income on 1 Share = 50-1 = 49 Rs
for 1 share net income is 49 Rs
if net income is 1225, number of shares = 1225/49 = 25

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luciya   9 years AGO

Income before tax=1225*100/98=1250
Investment= 1250*100/5= 25000
No of shares= 25000/1000=25

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ABHINAV PUSHPAM   9 years AGO

Face value of 1 share is 1000
so, gross income will be = 5/100*1000= 50
Income will be 2/100*50 = 1
Net income = 50 - 1= 49
so , required no of shares will be = 1/49*1225= 25
Option 9)

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Shagun Chaudhary   9 years AGO

let he was having n shares of ₹1000 each.
Total value of shares=₹1000n
income tax on ₹1000n @2%=20n
Value of shares after paying income tax=980n
5% of 980n=1225
=>n=25

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Ritesh kumar   9 years AGO

let x=invest
y=total income
(y-x)-(y-x)2/100= 1225...eq(1)
(x*5)/100=1225..eq(2)
on solving eq 1 and 2
x=24500
andy=25750
so, ans is 25

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Jamil Ahmed   9 years AGO

Income before income tax = 1225*100/98 = 1250

No. of shares of Rs.1000/- each = (1250*100)/(5*1000) = 25

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Jaikumar Bhatia   9 years AGO

Let the number of shares=x
Then Total amount of share papers=1000x
Income on shares (ie5%)=1000x*(5/100)=50x=I1
Income tax on I1=I1*2%=50x*(2/100)=x=I2
Net income I=I1-I2
1225=50x-x
x=25
Therefore number of shares are 25
Ans is 25
option (9)

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Dinni   9 years AGO

Let the number of shares =x
Then Total amount of shares =1000x
Income on shares(5%)=1000x*(5/100)=50x=I(1)
Income tax on I(1) =(2%)={(1000x)*(5/100)}*(2/100)=x=I(2)
Net income (I) =I(1)-(2)
1225=50x-x
x=25

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vinusha   9 years AGO

Let the number of shares =x
Then Total amount of shares =1000x
Income on shares(5%)=1000x*(5/100)=50x=I(1)
Income tax on I(1) =(2%)={(1000x)*(5/100)}*(2/100)=x=I(2)
Net income (I) =I(1)-(2)
1225=50x-x
x=25

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avanthika   9 years AGO

Let the number of shares =x
Then Total amount of shares =1000x
Income on shares(5%)=1000x*(5/100)=50x=I(1)
Income tax on I(1) =(2%)={(1000x)*(5/100)}*(2/100)=x=I(2)
Net income (I) =I(1)-(2)
1225=50x-x
x=25

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Tinku   9 years AGO

Let the no of shares = x,
then total amount of shares = 1000x,
Income on shares (5%) = 1000x * (5/100=50x=I(1)
Income taxt on I(1) = (2%) = {(1000x)*(5/100)}*(2/100)=x=I(2)
Net Income (I)=I(1)-(2)
1225 = 50x-x
x=25
Answer is 25 shares.

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Saleel Kulkarni   9 years AGO

Let the total no of shares be x
So if the 5% income on x shares each of Rs.1000 will be 1000x*(5/100)=50x

So now Upendra has earned Rs 50x and he will now pay 2% tax i.e. 50x*(2/100)=x

So net income is 50x-x i.e. earned money-tax money=49x
and the given net income is Rs 1225
therefore 49x=1225
=>x=25

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ROHIT KUMAR DUBEY   9 years AGO

5%=1225
100%=24500
2% income tax=490
total=24500+490=24990
therefore share=24990/1000==>24.99=25

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