Simple & Compound Interest

TYPE-1
1)A sum was put at simple interest at a certain rate for 4 years. Had it been put at 3 % higher rate it would have fetched Rs 1440 more. Find the Sum:- a) 1000. b)12000, c) 14400, d) 11000.

3% * 4 = 1440
So 100 % = (1440/12)* 100
= 12000

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2) The compound interest on Rs 5000 for 3 years at 10% P. A will amount to :- a) 1654, b)1655, c) 1600, d) 1565.

Total percentage = 10+11+12.1
       =33.1%
compound interest for 3 years = (5000*33.1)/100
= 1655.
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3) Simple interest on a certain sum is 16/25 of the sum. If the time and rate are equal, then time is:- a) 6yrs, b) 6.5yrs, c)7yrs, d) 8yrs.


Let Principle =P and Time =t
(p*t*t)/100 =16/25 p
so time = 8 years.
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4)A sum amount of Rs 1352 in 2 years at 4% compound interest. The sum is:- a) 1300, b)1260, c) 1250, d) 1200.


(100+4+4.16)% = 1352
so 100% = (1352/108.16)*100
=1250 

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5) The principal amount which yields a compound interest of Rs 208 in the second year at 4% is:- a) 13000, b) 6500, c) 5000, d) 10000.


2nd year % =4.16 %
4.16% =208
100% =5000.


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6) The compound interest on Rs 1000 at 10% per anum is Rs 464.10. The period of years is:- a) 3,b) 4, c) 5, d) 2.

1000(1+ 10/100) =464.10
11/10 = 4641/1000
so period of years = 4.

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7)The simple interest on a sum of 5 years is one fourth of the sum. The rate of interest per anum is:- a) 5%, b) 6%, c) 4%, d) 8%.

one fourth of the sum is 25% in 5 years.
so yearly rate of %  = 5%
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8) At some rate per anum the compound interest on Rs 1500 for 2 years is 449.40. The rate of interest per anum is:- a) 10%, b) 12%, c) 14%, d) 15%.

P(1+r/100)n=A


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9) The simple interest for four years is one fourth of the principal. The sum that will amount to Rs 450 in two years at the same rate is:- a) 400, b) 425, c) 500, d) 525.

  In 4 years interest is 1/4th of the principle
so rate = 25/4 %
Now (100+25/2)% = 450
100% = 400

By option only 400 is smaller than amount so ans is 400.
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TYPE-2
1) If a sum of money at simple interest doubles in 5 years, it will become 4 times in how many years:- a) 18, b) 16, c) 15, d) 20.
2)A sum of money placed at compound interest doubles itself in 4 years. in how many years will it amount to four times itself:- a) 12yrs, b) 13Yrs, c) 8yrs, d) 16yrs.
3) A sum of money placed at compound interest doubles itself in 5 years. It will amount to eight times itself is:- a) 12yrs, b) 10yrs, c) 20yrs d) 15yrs.
4) A sum borrowed under compound interest doubles itself in 10 years. When will it become fourfold of itself at the same rate of interest:- a) 15yrs, b) 20yrs, c) 24 yrs, d) 40yrs.
5) If a sum compounded annually becomes 1.44 times of itself in 2 years, then the rate of interest per annum is:- a) 25%, b) 22%, c) 21%, d) 20%.
6) A sum amount to Rs 9990 after 3 years and Rs 14985 after 6 years on compound interest. Find the sum:- a) Rs6660, b) 19990, c) 3330, d) 4995.
7) A mount is invested in at a compound rate of interest. The total amount including interest after first and third year is Rs1200 and Rs 1587 respectively. What is the rate of interest:- a) 12%,b) 15%, c) 10%, d) 3.9%.
8)A sum of money becomes Rs 13380 after 3 years and Rs 20070 after 6 years on compound interest. The sum is:- a) 8800, b) 8890, c) 8920, d) 9040.
9) What sum of money at compound interest will amount to Rs 480 at the end of first year and Rs 576 at the end of second year:- a) Rs420, b) 450, c) 400, d) 375.
10) A certain sum at compound interest amounts to Rs 12960 in 2 yrs and in 2 yrs and Rs 13176 in 3 yr. FInd the rate % per anum:- a) 4/3%, b) 7/35, c)5/3%, d) 8/3%.

TYPE-3
1)If Rs 20 is the difference of simple and compound interest for two years at 4% per annum, then the principal is:- a) 13000, b) 12500, c) 12000, d) 13500.
2)The difference between the compound interest and the simple interest o Rs 10000 for 2 years is Rs 25. The rate of interest per annum is:- a) 5%, b) 7%, c) 10%, d) 12%.
3) The difference between the compound interest and simple interest of some amount of money for 2 years at 9% per annum is Rs 129.60. The sum of money is:- a)12000, b) 12500, c) 13500, d) 16000.
4)The difference between the compound interest and simple interest on a certain sum of money at 10% per anuum for 2 years is Rs 500. The sum is:- a) 45000, b) 55000, c) 60000, d) 50000.
5) The difference between simple and compound interest on a sum of money at 5% per annum for 2 years is Rs100. The sum of money must be:- a) 35000, b) 41000, c) 40000, d) 45000.
6)The difference between the simple and compound interest on a certain sum of money for 2 years is 65 at 105 per anuum. The sum is:- a) 65650, b) 65065, c) 6565, d) 6500.
7) Find the difference between the compound interest and simple interest on Rs 10000 for 2 years at 45 per annum:- a) 16, b) 18, c) 19, d) 31.
8)What is the difference between compound interest and simple interest for the sum of Rs000 over a 2 year period. If the compound interest is calculated at 205 and simple interest is calculated at 23% :- a) Rs 40, b) Rs 46, c) Rs 44, d) none of these.
9)If the difference between the simple and compound interest on some principal amount at 20% per anuum for 3 years is Rs 48, then the principal amount must be:- a) Rs550, b) 500, c) 375, d) 400.
10)If the difference between the compound interest and simple interest on a sum of money for 3 years at 5% per annum is Rs61. Find the Sum:- a)Rs 7000 b) Rs8000, c) Rs9000, d) Rs10000.

TYPE-4
1) Sum of Rs 1550 was lent partly at 5% and partly at 8% simple interest. The total interest received after 3 years was Rs 30. The ratio of money lent at 5% to 8% is:- a) 5:8, b) 8:5, c) 15:16, d) 16:15.
2)Two equal sums together lent out for 4 years- one @ 8% and the other @ 15% total interest earned after 18 months was Rs 1800. Find the sums a) 7200,2400, b) 8000,1600, c) 5000, 64600, d) 7000,2600.
3)A sum of Rs 2600 is let out in two parts in such a way that the interest on the one part at 10% for 5 years is equal to that on another part at 9% for 6 years. The sum lent at 10% is:- a) Rs1250, b) 1350, c) 1150, d) 1450.
4) The difference between the simple interest on a certain sum of money at 4% per annum for 15 years and at at 5% per annum for 10 years is Rs 100. Find the sum:- a) 100, b) 1000, c) 10000, d) 500.
5)A sum of Rs 5700 is to be divided into two parts in such a way that interest on the first part for 3 year @ 9 % and second part @ 11 % for 3 years together comes to Rs 1671. Find the smallest part:- a) 2800, b) 3500, c) 3200, d) 2200.
6)A person deposited an amount of Rs 2938 in two different banks. The firs part @ 10 % for 2 years amount equal to the second part @ 20% for 3 years at Compound Interest. Find the largest part:- a) 1210 b) 1728, d) 1200, d) 1220.
7) A sum of Rs 2031 invested in two parts at compound interest at the rate of 8%. The first part in 7 years amounts equal to the second part in the 9 years. Find the smaller part:- a) Rs1093.50, b) 973.50, c) 937.50, d) 937.
8) A father deposited Rs 5827.5 for his two sons both @ 10% CI in such a way that one at the end of 3 years amounts equal to that of the other after 6 years. Find the largest part:- a) 3327.5, b) 2327.5, c) 3325.5, d) 2550.
9) Rs 8400 are divided in two parts such that the amount of first part for 3 years at 5% is equal to the amount of the second part for 5 years at the same rate of compounded annually. Find the smaller part:- a) 4000, b) 4200, c) 3500, d) 3000.
10) A person had Rs 5000 part of which he lent at 5% per annum and the rest at 4% per annum. The total annual income received was Rs 230. How much did he invest at 5%. a) 3000, b) 2000, c) 2500, d) 3500.

TYPE-5
1) In what time will Rs 1000 amount to Rs 1331 at 20 % per annum compounded half yearly:- a) 18 months, b) 2 years, c) 1 years, d) 5/2 years
2)Find the compound interest on Rs 1000 at the rate of 20% per annum for 18 months when interest is compounded half yearly:- a) 331, b) 1331, c) 320, d) None of these.
3)Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs 420:- a) Rs 2000, b) Rs 2200, c) Rs 1000, d) Rs 1100.
4) A sum of Rs 6400, compounded quarterly at the rate of 5% per annum will become Rs 6561 in :- a)Half year, b) one year, c) 18 month, d) 2 years.
5)A sum of money lent at compound interest for 2 years at 20 % per annum would fetch Rs 723 more , If the interest was payable half yearly than if it was payable annually. The sum is:- a) 38000, b) 30000, c) 20000, d) 25000.
6)A sum of money was invested at a certain rate of simple interest for 2 years. Had it been invested at 1% higher rate, it would have fetch Rs 24 more interest. The sum of money is:- a) 1200, b) 1050, c)1000, d) 9600.
7)A sum was put at simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs 300 more. Find the sum:- a) Rs3000, b) Rs5000, c) Rs6000, d) Rs8000.
8)A sum was put at a certain rate for 4 years. Had it been put at 5% lower rate, it would have fetched Rs 100 less. Find the sum:- a)Rs500,b) Rs750, c) Rs650, d) Rs550.
9) If the compound interest on a certain sum for 2 years at 4% is 102 what would be the simple interest at the same rate for two years:- a) 100, b) 98, c) 75, d) 100.50.
10) The simple interest on a certain sum for 2 years at 10% per annum is Rs 100. The corresponding compound interest is:- a) 100, b) 95, c) 105, d) 85.

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