The rate of interest on a sum of money is 4% per annum for the first 2 years, 6% per annum for the n

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26 May 2015 Simple Interest

The rate of interest on a sum of money is 4% per annum for the first 2 years, 6% per annum for the next 4 years and 8% per annum for the period beyond 6 years. If the simple interest accrued by the sum for a total period of 9 years is Rs. 1120, what is the sum?

OPtion

1) Rs.1500
2) Rs.1800
3) Rs.2000
4) Rs.2400
5) Rs.2500
6) Rs.3000
7) Rs.3500
8) Rs.4000
9) Rs.4500
10)Rs.4800

Solution

Let the sum be x. Then,
{(x*4*2)/100}+{(x*6*4)/100}+{(x*8*3)/100} = 1120
x = 1120*100/56 = 2000

Option 3)

Correct Option: 3 Best Solution (21)

RAKESH   9 years AGO

x/100 *[4*2+6*4+8*3] = 1120 => x=2000

Like? Yes (5) | No (2)  

sompon temtheerakij   9 years AGO

total interest = 4+4+6+6+6+6+8+8+8 = 56%
sum = 1120x100/56 = 2000

Like? Yes (2) | No   

MRITUNJAY   9 years AGO

1120 (x*4*2+x*6*4+x*8*3)/100
1120=56*x/100
x=2000

Like? Yes (3) | No (2)  

VIVEK KUMAR   9 years AGO

1120=(8p+24p+24p)/100
112000=56p
p=2000

Like? Yes (1) | No   

kranthi kanchanapally   9 years AGO

Let sum=x
x*4*2/100+x*6*4/100+x*8*3/100=1120
56x=112000
x=2000

Like? Yes (1) | No   

Ayush Gupta   9 years AGO

Let us assume the sum as x
S.I. for first two years will be (x*4*2)/100 .... (1)
similarly for next 4 years (x*6*4)/100 ......(2)
for next 3 years at rate of 8% S.I. will be (x*8*3)/100 ...(3)

So total interest for 9 years is 1120..
Adding (1),(2) and (3) gives
56x=112000
x=2000
:)

Like? Yes (4) | No (3)  

Pradeep   9 years AGO

question should be 8% per annum for the period beyond 9years instead of 6
=> 4*2*x/100 +6*4*x/100 +8*3*x/100 =1120
=>56x/100 =1120
=>x= 20000

Like? Yes (1) | No   

Dr.Dipin Singh   9 years AGO

If sum is Rs 100x, then total interest = 8x+24x+24x
=56x= Rs. 1120
x= rs 20.
so sum = Rs 2000.

Like? Yes (3) | No (2)  

s kumar   9 years AGO

let sum be P.
SI=PRT/100

1120=[(P*4*2) +(P*6*4) +(P*3*8)]/100

P=20,00

Like? Yes (2) | No (2)  

Divyabala R   9 years AGO

Sum = (Simple Interest * 100)/( Rate of interest *No of years)
So => Sum = (1120 *100)/((4*2)+(6*4)+(8*3))

=>Sum = 112000/56 => 2000

Hence,Sum is 2000

Like? Yes (2) | No (2)  

Rahul Mahadik   9 years AGO

pnr100=si
4*2*x100+x*4*6100+x*3*8100=1120
by solving x=2000

Like? Yes (2) | No (2)  

Karthick Raja   9 years AGO

ASSUM SUM = X
FIRST 2 YEARS = (X*4*2/100)
NEXT 4 YEARS =(X*6*4/100)
NEXT 3 YEARS =(X*8*3/100) (TOTAL PERIOD FOR 9 YEARS SO WE CAN TAKE 3 YEARS)
(X*4*2)/100+(X*6*4/100)+(X*8*3/100)=1120
8X+24X+24X=1120*100
56X=112000
X=112000/56
X=2000

Like? Yes (1) | No (2)  

Shiva Teja   9 years AGO

Let the sum is equal to x
Simple interest on the sum for first two years=2*.04*x
Simple interest on the sum for next four years=4*.06*x
Simple interest on the sum for 7,8 and 9 years=3*.08*x

Total interest for 9 years equals to (2*.04+4*.06+3*.08)*X
=0.56*X
simple interest accrued by the sum for a total period of 9 years is Rs. 1120
So, 0.56*X=1120
Therefore, sum=X=1120/.56=Rs.2000/-

Like? Yes (1) | No (2)  

ANANTHI.P   9 years AGO

1120=(p*4*2/100)+(p*4*6/100)+(p*8*3/100)
56p=1120*100
p=2000

Like? Yes (1) | No (2)  

aman aditya   9 years AGO

Let principle be 100
Interest for first two year=4*2=8
. next 4 yr=6*4=24
Next 3yr =8*3=24
Total=56
So (1120/56)*100=2000

Like? Yes (1) | No (2)  

ROHIT KUMAR   9 years AGO

Let Sum(or principal amount )=p
then,
p*4*2/100+p*6*4/100+p*8*3/100=1120
8p+24p+24p=1120*100
56p=1120*100
p=2000/-

Like? Yes (1) | No (2)  

Devendra Marghade   9 years AGO

If sum=x, then
(x*2*4/100) +(x*4*6/100) +(x*8*3/100)= 1120
8x+24x+24x=112000
x=2000
So answer is option (3)

Like? Yes (1) | No (2)  

sravani   9 years AGO

sigma(PTR/100)=1120
substitue respective R's and T's in the above equation.
then will get P as 2000

Like? Yes (1) | No (2)  

Md Irfan   9 years AGO

let sum be x
x*4*2/100+x*6*4/100+x*3*8/100=1120
x=20000

Like? Yes (1) | No (2)  

syed kashif ullah   9 years AGO

8x/100+24x/100+24x/100=1120
on solving
x=2000

Like? Yes (1) | No (2)  

Aditi Khandagale   9 years AGO

ans:3

Let sum be Rs x.
Given: ( x*4*2/100)+(x*6*4/100)+(x*8*3/100)=1120
56x =112000
x=112000/56=Rs.2000

Like? Yes (1) | No (2)