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Simple Interest

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Q 1. The rates of simple interest in two banks {tex} A {/tex} and {tex} B {/tex} are in the ratio {tex} 5: 4 . {/tex} A person wants to deposit his total savings in two banks in such a way that he received equal half-yearly interest from both. He should deposit the savings in banks {tex} A {/tex} and {tex} B {/tex} in the ratio.

2:5

4:5

5:2

5:4

None of these

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Q 2. On retirement, a person gets 1.53 lakhs of his provident fund which he invests in a scheme at {tex} 20 \% {/tex} p.a. His monthly income from this scheme will be

{tex} \mathrm {Rs. 2,450} {/tex}

{tex} \mathrm {Rs. 2,500} {/tex}

{tex} \mathrm {Rs. 2,550} {/tex}

{tex} \mathrm {Rs. 2,600} {/tex}

None of these

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Q 3. The difference between the simple interest received from two different sources on {tex} \mathrm {Rs.1500} {/tex} for {tex} \mathrm {3} {/tex} years is {tex} \mathrm {Rs.13.50} . {/tex} The difference between their rates of interest is:

{tex} 0.1 \% {/tex}

{tex} 0.2 \% {/tex}

{tex} 0.3 \% {/tex}

{tex} 0.4 \% {/tex}

None of these

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Q 4. An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of {tex} 10 \% , {/tex} the effective rate of interest becomes:

{tex} 10 \% {/tex}

{tex} 10.25 \% {/tex}

{tex} 10.5 \% {/tex}

Data inadequate

None of these

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Q 5. The simple interest on a sum of money is {tex} \frac { 1 } { 16 } {/tex} th of the principal and the number of years is equal to the rate per cent per annum. The rate per cent annum is _______.

{tex} 6 \frac { 1 } { 4 } \% {/tex}

{tex} 6 \frac { 1 } { 3 } \% {/tex}

{tex} 6 \frac { 1 } { 5 } \% {/tex}

{tex} 4 \frac { 1 } { 5 } \% {/tex}

None of these

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Q 6. Anish borrowed {tex} \mathrm {Rs.}15000 {/tex} at the rate of {tex} 12 \% {/tex} and an other amount at the rate of {tex} 15 \% {/tex} for two years. The total interest paid by him was {tex} \mathrm {Rs.}9000 {/tex}. How much did he borrow?

{tex}\mathrm {Rs.}32,000 {/tex}

{tex} \mathrm {Rs.33,000} {/tex}

{tex} \mathrm {Rs. 30,000} {/tex}

{tex} \mathrm {Rs. 35,000} {/tex}

{tex} \mathrm {None \,of\, these} {/tex}

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Q 7. An amount of {tex} Rs.\, 1,00,000 {/tex} is invested in two types of shares. The first yields an interest of {tex} 9 \% {/tex} p.a. and the second, {tex} 11 \% {/tex} p.a. If the total interest at the end of one year is {tex} 9 \frac { 3 } { 4 } \% , {/tex} then the amount invested in each share was:

{tex} \mathrm {Rs. 52,500 ; Rs. 47,500} {/tex}

{tex}\mathrm {Rs.}62,500 {/tex};{tex}\mathrm {Rs.}37,500 {/tex}

{tex} \mathrm {Rs. 72,500 ; Rs. 27,500} {/tex}

{tex}\mathrm {Rs.} 82,500{/tex};{tex}\mathrm {Rs.}17,500 {/tex}

None of these

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Q 8. Mr Amin borrowed some money from Mr Vishwas. The rate of interest for first two years is {tex} 8 \% {/tex} p.a., for the next three years is {tex} 11 \% {/tex} p.a. and for the period beyond {tex} \mathrm {5} {/tex} years {tex} 14 \% {/tex} p. a. Mr Vishwas got an amount of {tex} \mathrm {Rs.10920} {/tex} as an interest at the end of eight years. Then what amount was borrowed by Mr Amin?

{tex} \mathrm {Rs. 12000} {/tex}

{tex} \mathrm {Rs. 15000} {/tex}

{tex} \mathrm {Rs. 1400} {/tex}

{tex} \mathrm {Data\, inadequate} {/tex}

{tex} \mathrm { None\, of \,these} {/tex}

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Q 9. Divide {tex} \mathrm {Rs.2379} {/tex} into 3 parts so that their amounts after {tex} 2,3 {/tex} and {tex} \mathrm {4} {/tex} years respectively may be equal, the rate of interest being {tex} 5 \% {/tex} per annum at simple interest. The first part is:

759

792

818

828

None of these

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Q 10. What will be the difference in simple and compound interest on {tex} \mathrm {Rs.}2000 {/tex} after three years at the rate of 10 percent per annum?

{tex} \mathrm {Rs. 160} {/tex}

{tex} \mathrm {Rs.}42 {/tex}

{tex} \mathrm {Rs. 62} {/tex}

{tex} \mathrm {Rs. 20} {/tex}

{tex} \mathrm {None \,of \,these} {/tex}

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Q 11. What will be the ratio of simple interest earned by certain amount at the same rate of interest for {tex} \mathrm {6} {/tex} years and that for {tex} \mathrm {9} {/tex} years?

1:3

1:4

2:3

Data inadequate

None of these

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Q 12. A sum fetchedtotal simple interest of {tex} \mathrm{Rs.}4016.25 {/tex} at the rate of 9 p.c.p.a in 5 years. What is the sum?

{tex}\mathrm {Rs.}8925{/tex}

{tex}\mathrm {Rs.}8032.50{/tex}

{tex}\mathrm {Rs.}4462.50{/tex}

{tex} \mathrm {Rs.}8900 {/tex}

None of these

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Q 13. Amit Kumar invested an amount of {tex} \mathrm {Rs. 15,000} {/tex} at compound interest rate of {tex} \mathrm {10} {/tex} pcpa for a period of two years. What amount will he receive at the end of two years?

{tex} \mathrm {Rs. 18,000} {/tex}

{tex} \mathrm {Rs. 18,500} {/tex}

{tex}\mathrm {Rs.}17,000 {/tex}

{tex} \mathrm {Rs. 17,500} {/tex}

None of these

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Q 14. Nikhilesh invested certain amount in three different schemes {tex} A , B {/tex} and {tex} C {/tex} with the rate of interest {tex} \mathrm {10 \ p.c.p.a} {/tex}, {tex} 12 \mathrm { \ p.c.p.a. } {/tex} and {tex} 15 \mathrm { \ p.c. } \mathrm { p.a. } {/tex} respectively. If the total interest accrued in one year was {tex} \mathrm {Rs. 3200} {/tex} and the amount invested in scheme {tex} \mathrm { C } {/tex} was {tex} 150 \% {/tex} of the amount invested in scheme {tex} A {/tex} and {tex} 240 \% {/tex} of the amount invested in scheme {tex} B , {/tex} what was the amount invested in scheme {tex} B ? {/tex}

{tex} \mathrm {Rs. 8000} {/tex}

{tex} \mathrm {Rs. 5000} {/tex}

{tex} \mathrm {Rs. 6500} {/tex}

{tex} \mathrm {Cannot\, be\, determined} {/tex}

{tex} \mathrm {None \,of \,these} {/tex}

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Q 15. Asmita invests an amount of Rs.9535 at the rate of 4 per cent per annum to obtain a total amount of Rs.11442 on simple interest after a certain period. For how many year did she invest the amount to obtain the total sum?

10 years

2 years

5 years

4 years

None of these

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Q 16. What is the interest received on a principal of Rs.450 for 2 yea

if the interest received on Rs.1 after four year at the same rate of simple interest is Rs.0.40 ?

Rs.90

Rs.180

Rs.36

Cannot be determined

None of these

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Q 17. The simple interest accrued on an amount of {tex} 84,000 {/tex} at the end of three year is Rs.30,240 . What would be the compound interest accrued on the same amount at the same rate in the same period?

Rs.30,013.95

Rs.31,013.95

Rs.32,013.95

Rs.33,013.95

Rs.34,013.95

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Q 18. Girish invested a certain amount at the rate of 8{tex} \% {/tex} p.a. for 6 year to obtain an amount of Rs.28,046. How much amount did Girish obtain as simple interest?

Rs.12,550

Rs.9,096

Rs.18,950

Cannot be determined

None of these

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Q 19. What should be the simple interest obtained on an amount of {tex}Rs. \ 5,760{/tex} at the rate of {tex}6 \% {/tex} p. a. after {tex}3 \ years{/tex}?

Rs. 1036.80

Rs. 1666.80

Rs.1336.80

Rs.1063.80

None of these

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Q 20. Arunima invests an amount of Rs.10,250@4%p.a to obtain a total amount of Rs.12,710 on simple interest after a certain period. For how many year did she invest the amount to obtain the total sum?

6 years

8 years

5 years

4 years

None of these

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Q 21. Ms. Sandhya deposits an amount of Rs.31,400 to obtain a simple interest at the rate of 12 per cent per annum for 8 years. What total amount will Ms. Sandhya get at the end of 8 years?

Rs.31,444

Rs.61,544

Rs.41,544

Rs,31,144

None of these

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Q 22. An amount is lent at {tex} y \% {/tex} p.a. S. I for two years. However, is it had been lent at 2{tex} y \% {/tex} p.a. S.I. for {tex} x {/tex} more years, then the interest would have been 5 times the earlier interest. Find the value of {tex} y {/tex} .

2

3

4

5

None of these

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Q 23. A principal of Rs.10,000 after 2 years compounded annualy, the rate of interest being 10{tex} \% {/tex} p.a. during the first year and 12{tex} \% {/tex} p.a. during the second year will amount to:

{tex} 12,000 {/tex}

{tex} 12,320 {/tex}

{tex} 12,500 {/tex}

{tex} 11,320 {/tex}

None of these

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Q 24. Two equal sums of money were invested, one at {tex} 4 \% {/tex} and the other at {tex} 4.5 \% {/tex}. At the end of {tex} \mathrm {7} {/tex} years, the simple interest received from the latter exceeded to that received from the former by {tex} \mathrm {Rs. 31.50} . {/tex} Each sum was:

{tex} \mathrm {Rs. 1,200} {/tex}

{tex} \mathrm {Rs. 600} {/tex}

{tex} \mathrm {Rs. 750} {/tex}

{tex} \mathrm {Rs. 900} {/tex}

None of these

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