- A Man invested an amount for 2 years at 6 percent per annum at simple interest. Had the interest been compounded anually, he would have earned Rs. 108 more as interest. What was the amount invested?
Rs28,000Rs33,000Rs24,000Rs30,000NoneOption D
Solution:
For 2 years CI-SI=PR2/1002
108=(P*6*6)/100*100
P=Rs30,000.
- What is the simple interest on a sum of Rs. 1500 if the rate of interest for the first 5 years is 9% per annum and for the last 3 years is 8.5% per annum?
RS965.5Rs1057.5Rs982Rs1011NoneOption B
Solution:
SI=(1500*5*9/100) + (1500*3*8.5/100)
=(15*45) + (15*3*8.5)
=675+382.5
=Rs1057.5.
- A sum of Rs 18,750 is left in will by a father to be divided between two sons, whose present age is 12 and 14 years respectively, such that when they attain maturity at 18, the amount (Principal + interest) received by each at 5% S.I. will be the same. Find the sum allotted at present to each son.
Rs10000, Rs8750Rs7000, Rs11750Rs9000, Rs9750Rs9500, Rs9250NoneOption C
Solution:
Let the 1st son part be x then 2nd son 18750-x.
x+ (x*6*5)/100 = 18750-x + (18750-x*4*5 )/100
130x=18,75,000 – 100x+3,75,000 -20x
250x=2250000
1st son x=Rs9000
then 2nd son Rs9750.
- A person invested in all Rs. 1950 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 8% is
Rs450Rs390Rs520Rs430NoneOption A
Solution:
a*4/100 = b*6/100= c*8/100
Then a:b:c=6:4:3
13………. 1950
3 ………. ? ==> Rs450.
- What is the rate of simple interest for the first 4 years if the sum of Rs. 650 becomes Rs. 936 in 10 years and the rate of interest for the last 6 years is 4%?
5%8%4%6%NoneOption A
Solution:
Interest for the last 6 years = (650*6*4)/100 = Rs. 156.
then Interest for year = 936-650 = 286;
So, interest for first four years = 286-156 = Rs. 130
r for first four years = (130*100)/650*4
r= 5%.
- Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum on simple interest is
Rs1400Rs1525Rs1750Rs1620NoneOption C
Solution:
CI=4000*[(1+ 10/100)-1] =4000*(11/10*11/10-1)
=Rs840.
SI = 840/2=Rs420
Sum=(420*100)/(3*8)
=Rs1750.
- Swetha invested a sum of money at a certain rate of simple interest for a period of 5 yrs. The total interest earned by him would have been 40% more than the earlier interest amount when invested for 6 years. What was the rate of interest per cent per annum ?
8%12%9%Data InadequateNoneOption D
Solution:
Data Inadequate.
- What is the difference between the compound interests on Rs. 5000 for 11/2 years at 4% per annum compounded yearly and half-yearly?
Rs3.20Rs2.04Rs2.50Rs1.45NoneOption B
Solution:
CI yearly =5000*(1+4/100)*(1+(1/2 *4)/100)
=5000*26/25*51/50
=Rs5304.
CI half yearly=5000*(1 + 2/100)3
=5000*51/50*51/50*51/50
=Rs5306.04.
Difference=5306.04-5304=Rs2.04.
- A certain amount earns simple interest of Rs. 1250 after 6 years. Had the interest been 4% more, how much more interest would it have earned?
Rs320Rs410Rs550Data InadequateNoneOption D
Solution:
Data Inadequate.
- Seema borrows Rs. 2500 from two moneylenders. He pays interest at the rate of 12% per annum for one loan and at the rate of 15% per annum for the other. The total interest he pays for the entire year is Rs. 354. How much does he borrow at the rate of 15%
Rs1600Rs1550Rs1800Rs2150NoneOption C
Solution:
Use allegation mixture
(2500*12*1)/100=300
(2500*15*1)/100=375
Then 300 (12%)……………… 375(15%)
. …………… 354 (both)
…… 21 …………….. 54==>7:18
……(7+18) 25 …………………………. 2500
……… 18 ………………. ?==> Rs1800.
ty:)
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