A man lends Rs.10000 in four parts. If he gets 8% on Rs.2000, 7.5% on Rs.4000 and 8.5% part on Rs.14

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12 Nov 2015 Interest

A man lends Rs.10000 in four parts. If he gets 8% on Rs.2000, 7.5% on Rs.4000 and 8.5% part on Rs.1400, what percent must he get for the remainder, if the average interest is 8.13%

OPtion

1) 7%
2) 5%
3) 9%
4) 12%
5) 9.25%
6) 11.5%
7) 10.5%
8) 8%
9) 10.25%
10)None of these

Solution

Let required rate be x%
Then
2000*8*1/100 + 4000*15*1/2*100 + 1400*17*1/2*100 + 2600*x*1/100
= 10000*8.13*1/100
or 160+300+119+26x = 813
x = 9
Option 3)

Correct Option: 3 Best Solution (19)

Arifa   9 years AGO

Total interest on Rs-10000 at average interest rate 8.13%= Rs 813. Interest on Rs 2000 at 8%=Rs 160. Interest on Rs 1400 at 8.5% = Rs 119. Interest on Rs 4000 at 7.5%=Rs 300. So, total interest on 3 parts=160+119+300=Rs 579. Interest on remaining part =813-579= Rs 234. Rate of interest on remaining part Rs.2600=234*100/2600=9%. Ans option 3)

Like? Yes (8) | No   

Jaikumar Bhatia   9 years AGO

P=10000,S =8.13%
P1=2000,S1=8.00%
P2=4000,S2=7.50%
P3=1400,S3=8.50%
P4=?? ,S4=??

P1+P2+P3+P4=P
2000+4000+1400+P4=10000
P4=2600

P*S=(P1*S1)+(P2*S2)+(P3*S3)+(P4*S4)
10000*8.13=(2000*8.0)+(4000*7.50)+(1400*8.50)+(2600*S4)

Simplify above formula
we will get S4=9.00%

so option is (3)

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RANJAN FADIA   9 years AGO

avg is 8.13%
means total 813rs on 10000.

sum of interest on different part of money = 160+300+119+x

x is interest of money on remaining money that is 2600rs.

x=813- 579= 234

%age of 234 on 2600rs = 9% ans.

Like? Yes (3) | No   

sumit prayani   9 years AGO

Avg. Rate=8.13
10000×8.13×1÷100=1÷100(2000×8+4000×7.5+1400×8.5+2600×rate)
813=160+300+119+26×rate
Rate=9%

Like? Yes (2) | No   

Aman Kumar   9 years AGO

2000*8+4000*7.5+1400*8.5+2600*r= 10000*8.13
By solving it we find that r =9.

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SHUBHAM   9 years AGO

((10000*8.13*t)/100)=(2000*8*t)/100 + (4000*7.5*t)/100 + (1400*8.5*t)/100 + (2600*X*t)/100
& now solve for X to get the rate of interest

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Saurabh Kaul   9 years AGO

Total interest on Rs 10000 is Rs 813, The money is divided in 4 parts From 1st part he got Rs 160 .from 2nd he got Rs 300 & from the 3rd part he got Rs119 as interest, ADDING all the interest and subtracting from the total interest we got Rs 234 we need from Rs 2600

Now Interest= P*R*T/100
we get the answer

234=2600*R*1/100
R=9%

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sravani   9 years AGO

10000*8.13*t/100=2000*8+4000*7.5+1400*8.5+2600*x
x=9%

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RAHUL KUMAR   9 years AGO

The remaining rate will be 9%.
(2000*8*1)/100 + (4000*7.5*1)/100 + (1400*8.5*1)/100+ (2600*R*1)/100 = (8.13*10000)/100
or, 160+300+119+26R = 813
so R = 9%
option (3) is correct answer.

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pooja   9 years AGO

8% 0f 2000+7.5% of 4000+8.5% of 1400+x % of 2600= 813
hence solve the equation for x we get 9

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Saravanan Ok   9 years AGO

(2000 * 8 * 1/100) + (4000 * 15/2 * 1/100) + (1400 * 17/2 * 1/100) + (2600 * r * 1/100) = (813/10000 * 10000)

r = 9%

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PRABHAT KUMAR   9 years AGO

Total interest=813
Interest on 8%,7.5%,8.5%=160+300+119
=579
Rest interest=813-579=234
Rest amount=10000-7400=2600
Interest%=(234*100)/2600
9%

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senthamizhselvan   9 years AGO

initially we have to find average then easily find the answer

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sumit kumar   9 years AGO

according to question let last one rate is R.
so
(10000*8.13*t)/100=(2000*8*t)/100 +(4000*7.5.t)/100 +(1400*8.5*t)/100 + (2600*t*R)/100
finally 813t=160t+300t+119t+26tR
813t=t(160+300+119+26R)
t will be cancelled
813=579+26R
813-579=26R
234=26R
R=234/26
=9
so option is 3

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Sushmita Ghanty   9 years AGO

avg interest= 8.13*10000/100=813rs
remaining balance=10000-(2000+4000+1400)=2600rs
8% on 2000=160rs
7.5% on 4000=300rs
8.5% on 1400=119rs
remaining interest=813-(160+300+119)=234rs
interst on remaining rs= 234*100/2600=9%

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rajkumar   9 years AGO

individual money:
2000(8/100)=160
4000(7.5/100)=300
1400(2.5/100)=119
remaining amount: 2400
total money:
8.13(10000/100)=813

so, the eq is
160+300+119+x=813
x=234

find percentage of 234 in 2400
ans is:9%

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Jagadeesh   9 years AGO

8% in 2000=160
7.5% in 4000=300
8.5% in 1400 =119
8.13% in 10000=813
remaining part in 10000 is 2600
160+300+119+x=813
x=234
234 is the 9% in2600
so answer is 9%

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Venkateswarlu   9 years AGO

for 2000,4000,1400 the total interest =579
for 10000 at 8.13 interest amount=813
remaining interest is 234 for Rs.2600
% of interest=234/26=9%

Like? Yes (1) | No (1)  

Nandkishor jaiswal   9 years AGO

total amount is 10000
total profit is 8.13 %
then amount is 813
profit on 2000 at 8% is 160
profit on 4000 at 7.5% is 300
profit on 1400 at 8.5%is 119
remaining amount 2600
remaining required profit on 2600 is 234 rupees
so % rate will be 234/26 is 9%

Like? Yes (2) | No (3)