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49 questions · timed · auto-graded

MCQ 11 Mark
The value of a machine depreciates every year at a constant rate. If the values of the machine in 2006 and 2008 are ₹25,000 and ₹19,360 respectively, then the annual rate of depreciation is:
  • A
    8%
  • B
    10%
  • 12%
  • D
    14%
Answer
Correct option: C.
12%
C
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MCQ 21 Mark
A machine depreciates at the rate of 12% of its value at the beginning of a year. The machine was purchased for ₹ 10,000 and is sold for ₹7,744. The number of years, that the machine was used is:
  • 2
  • B
    4
  • C
    6
  • D
    8
Answer
Correct option: A.
2
A
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MCQ 31 Mark
The present population of a town is 2,00,000. The population will increase by 10% in the first year and 15% in the second year. The population of the town after two years will be:
  • 2,53,000
  • B
    2,35,000
  • C
    2,03,500
  • D
    3,52,000
Answer
Correct option: A.
2,53,000
A
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MCQ 41 Mark
A machine depreciates at the rate of 10% of its value at the beginning of a year. If the present value of a machine is ₹8000, its value after 3 years will be:
  • A
    ₹ 5382
  • ₹ 5832
  • C
    ₹ 5238
  • D
    ₹ 5638
Answer
Correct option: B.
₹ 5832
B
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MCQ 51 Mark
In what time will ₹5000 amount to ₹5832 at 8% rate of compound interest p.a.?
  • 2 years
  • B
    4 years
  • C
    6 years
  • D
    8 years
Answer
Correct option: A.
2 years
A
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MCQ 61 Mark
At what rate of compound interest p.a, will ₹20,000 amount to ₹ 26,620 in 3 years?
  • A
    4%
  • B
    6%
  • C
    8%
  • 10%
Answer
Correct option: D.
10%
D
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MCQ 71 Mark
The difference between the compound and simple interest on a certain sum deposited for 2 years at 5% p.a. is ₹ 12. The sum will be:
  • A
    ₹ 4500
  • B
    ₹ 4600
  • ₹ 4800
  • D
    ₹ 5000
Answer
Correct option: C.
₹ 4800
C
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MCQ 81 Mark
Ramesh wants to get ₹ 6,050 from a bank after 2 years. If the bank gives 10% p.a. compound interest, then the amount of money he has to keep now in the bank is:
  • A
    ₹ 5500
  • ₹ 5000
  • C
    ₹ 5600
  • D
    ₹ 5800
Answer
Correct option: B.
₹ 5000
B
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MCQ 91 Mark
The compound interest on a certain sum of money at 5% p.a. for two years is ₹ 246. The simple interest on the same sum for three years at 6% p.a. will be:
  • ₹ 432
  • B
    ₹ 430.50
  • C
    ₹ 432.75
  • D
    ₹ 431.75
Answer
Correct option: A.
₹ 432
A
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MCQ 101 Mark
The simple interest on a sum of money for 2 years at 4% per annum is ₹ 340. The compound interest on this sum for one year payable half-yearly at the same rate is:
  • A
    ₹ 170.70
  • B
    ₹ 107.70
  • ₹ 171.70
  • D
    ₹ 270.70
Answer
Correct option: C.
₹ 171.70
C
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MCQ 111 Mark
If the interest is compounded half-yearly, then, C.I. when the principal is ₹7,400, the rate of interest is 5% p.a. and the duration is one year, is:
  • A
    ₹ 373.63
  • ₹ 374.63
  • C
    ₹ 373.36
  • D
    ₹ 373
Answer
Correct option: B.
₹ 374.63
B
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MCQ 121 Mark
The compound interest on ₹8,640 for 3 years at 8% p.a. is:
  • ₹ 2345
  • B
    ₹ 3245
  • C
    ₹ 3425
  • D
    ₹ 3452
Answer
Correct option: A.
₹ 2345
A
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MCQ 131 Mark
Nikita invests ₹6,000 for two years at a certain rate of interest compounded annually. At the end of the first year, it amounts to ₹ 6,720. The rate of interest p.a. is:
  • A
    8%
  • B
    10%
  • 12%
  • D
    14%
Answer
Correct option: C.
12%
C
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MCQ 141 Mark
A person took a loan of ₹6,000 from a bank and agreed to pay back the amount along with interest in 2 years. If the rate of compound interest for the first year is 10% and second year is 12%, the amount he had to pay after 2 years will be:
  • A
    ₹ 7329
  • B
    ₹ 7932
  • C
    ₹ 7292
  • ₹ 7392
Answer
Correct option: D.
₹ 7392
D
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MCQ 151 Mark
The compound interest for the second year on ₹ 8,000 invested for 3 years at 10% p.a. is:
  • A
    ₹ 780
  • ₹ 880
  • C
    ₹ 980
  • D
    ₹ 1080
Answer
Correct option: B.
₹ 880
B
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MCQ 161 Mark
A man borrows ₹ 5,000 at 12% compound interest p.a., interest payable every six months. He pays back ₹1,800 at the end of every six months. The third payment he has to make at the end of 18 months in order to clear the entire loan will be:
  • ₹ 2,024.60
  • B
    ₹ 2,204.60
  • C
    ₹ 2,240.60
  • D
    ₹ 2,402.60
Answer
Correct option: A.
₹ 2,024.60
A
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MCQ 171 Mark
₹16,000 is deposited in a bank for three years. The rates of compound interest for first and second year are 8% and 12% respectively. At the end of third year the amount becomes ₹21,384. The rate of interest for the third year will be:
  • A
    7%
  • 10%
  • C
    11%
  • D
    12%
Answer
Correct option: B.
10%
B
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MCQ 181 Mark
A man deposits ₹ 10,000 in a cooperative bank for 3 years at 9% p.a. If interest is compounded annually, then the amount he will get from the bank after 3 years is:
  • ₹ 12,950.29
  • B
    ₹ 12,905.29
  • C
    ₹ 12,059.29
  • D
    ₹ 12,095.29
Answer
Correct option: A.
₹ 12,950.29
A
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MCQ 191 Mark
A man invests ₹ 46,875 at 4% p.a. compound interest for 3 years. The interest for the 1st year will be:
  • A
    ₹ 1785
  • B
    ₹ 1587
  • ₹ 1875
  • D
    ₹ 1758
Answer
Correct option: C.
₹ 1875
C
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MCQ 201 Mark
The compound interest on ₹3,750 for 2 years at 8% p.a., compounded annually is:
  • A
    ₹ 604
  • B
    ₹ 614
  • ₹ 624
  • D
    ₹ 642
Answer
Correct option: C.
₹ 624
C
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MCQ 211 Mark
In an industrial area, the price of a plot of area 1 acre is 5 crores. If the price of land increases by 2% quarterly, then what will be the price of the plot after 1 year?
  • $5\left(1+\frac{2}{100}\right)^4$ crores
  • B
    $5\left(1+\frac{8}{100}\right)^4$ crores
  • C
    $5\left(1+\frac{2}{100}\right)$ crores
  • D
    $5\left(1+\frac{8}{100}\right)$ crores
Answer
Correct option: A.
$5\left(1+\frac{2}{100}\right)^4$ crores
A
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MCQ 221 Mark
What is the principal amount which earns ₹ 132 as compound interest for the second year at 10% per annum?
  • A
    ₹800
  • B
    ₹1050
  • ₹1200
  • D
    data inadequate
Answer
Correct option: C.
₹1200
C
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MCQ 231 Mark
The simple interest on a sum of money at 8% per annum for 6 years is half the sum. The sum is:
  • A
    ₹4000
  • B
    ₹6000
  • C
    ₹10000
  • data inadequate
Answer
Correct option: D.
data inadequate
D
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MCQ 241 Mark
What annual instalment will discharge a debt of ₹ 4600 due in 4 years at 10% simple interest?
  • ₹1000
  • B
    ₹1150
  • C
    ₹1500
  • D
    ₹1610
Answer
Correct option: A.
₹1000
A
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MCQ 251 Mark
Assertion (A) : The present population of a town decreases at the rate of $5 \%$ p.a. due to migration. Its present population is 21600 and 2 years ago it was 24000 .
Reason (R) : Let there be an increase in population at R% p.a. Then population after $n$ years is given by $P \left(1-\frac{ R }{100}\right)^n$, where P is the present population.
  • A
    A is true, R is false
  • B
    A is false, R is true
  • C
    Both A and R are true
  • Both A and R are false.
Answer
Correct option: D.
Both A and R are false.
D
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MCQ 261 Mark
Assertion (A) : ₹100000 amounts to ₹121000 in 1 year and to ₹146410 in 2 years, compounded annually.
Reason (R) : When the interest is compounded annually, then, we have
\[A=P\left(1+\frac{R}{100}\right)^n\]
  • A
    A is true, R is false
  • B
    A is false, R is true
  • Both A and R are true
  • D
    Both A and R are false.
Answer
Correct option: C.
Both A and R are true
C
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MCQ 271 Mark
The compound interest on a certain sum of money at 5% p.a. for two years is ₹ 246. The simple interest on the same sum for three years at 6% p.a. will be:
  • 432
  • B
    430.5
  • C
    432.75
  • D
    431.75
Answer
Correct option: A.
432
A
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MCQ 281 Mark
Assertion (A): The present population of a town decreases at the rate of 5% p.a. due to migration. Its present population is 21600 and 2 years ago it was 24000.
Reason (R): Let there be an increase in population at R% p.a. Then population after n years is given by $P \left(1-\frac{ R }{100}\right)^n$, where P is the present population.
  • A
    A is true, R is false
  • B
    A is false, R is true
  • C
    Both A and R are true
  • Both A and R are false.
Answer
Correct option: D.
Both A and R are false.
D
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MCQ 291 Mark
Assertion (A):  ₹ 100000 amounts to ₹ 121000 in 1 year and to ₹ 146410 in 2 years, compounded annually.
Reason (R): When the interest is compounded annually, then, we have $A = P \left(1+\frac{ R }{100}\right)^n$
  • A
    A is true, R is false
  • B
    A is false, R is true
  • Both A and R are true
  • D
    Both A and R are false.
Answer
Correct option: C.
Both A and R are true
C
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MCQ 301 Mark
The value of a machine depreciates every year at a constant rate. If the values of the machine in 2006 and 2008 are ₹ 25,000 and ₹ 19,360 respectively, then the annual rate of depreciation is:
  • A
    8%
  • B
    10%
  • 12%
  • D
    14%
Answer
Correct option: C.
12%
C
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MCQ 311 Mark
A machine depreciates at the rate of 12% of its value at the beginning of a year. The machine was purchased for ₹ 10,000 and is sold for ₹ 7,744. The number of years, that the machine was used is :
  • 2
  • B
    4
  • C
    6
  • D
    8
Answer
Correct option: A.
2
A
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MCQ 321 Mark
The present population of a town is 2,00,000. The population will increase by 10% in the first year and 15% in the second year. The population of the town after two years will be :
  • 2,53,000
  • B
    2,35,000
  • C
    2,03,500
  • D
    3,52,000
Answer
Correct option: A.
2,53,000
A
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MCQ 331 Mark
A machine depreciates at the rate of 10% of its value at the beginning of a year. If the present value of a machine is ₹ 8000, its value after 3 years will be :
  • A
    ₹ 5382
  • ₹ 5832
  • C
    ₹ 5238
  • D
    ₹ 5638
Answer
Correct option: B.
₹ 5832
B
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MCQ 341 Mark
In what time will ₹ 5000 amount to ₹ 5832 at 8% rate of compound interest p.a.?
  • 2 years
  • B
    4 years
  • C
    6 years
  • D
    8 years
Answer
Correct option: A.
2 years
A
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MCQ 351 Mark
At what rate of compound interest p.a. will ₹ 20,000 amount to ₹ 26,620 in 3 years?
  • A
    4%
  • B
    6%
  • C
    8%
  • 10%
Answer
Correct option: D.
10%
D
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MCQ 361 Mark
The difference between the compound and simple interest on a certain sum deposited for 2 years at 5% p.a. is ₹ 12. The sum will be:
  • A
    ₹ 4500
  • B
    ₹ 4600
  • ₹ 4800
  • D
    ₹ 5000
Answer
Correct option: C.
₹ 4800
C
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MCQ 371 Mark
Ramesh wants to get ₹ 6,050 from a bank after 2 years. If the bank gives 10% p.a. compound interest, then the amount of money he has to keep now in the bank is :
  • A
    ₹ 5500
  • ₹ 5000
  • C
    ₹ 5600
  • D
    ₹ 5800
Answer
Correct option: B.
₹ 5000
B
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MCQ 381 Mark
The compound interest on a certain sum of money at 5% p.a. for two years is ₹ 246. The simple interest on the same sum for three years at 6% p.a. will be :
  • ₹ 432
  • B
    ₹ 430.50
  • C
    ₹ 432.75
  • D
    ₹ 431.75
Answer
Correct option: A.
₹ 432
A
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MCQ 391 Mark
The simple interest on a sum of money for 2 years at 4% per annum is ₹ 340. The compound interest on this sum for one year payable half-yearly at the same rate is :
  • A
    ₹ 170.70
  • B
    ₹ 107.70
  • ₹ 171.70
  • D
    ₹ 270.70
Answer
Correct option: C.
₹ 171.70
C
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MCQ 401 Mark
If the interest is compounded half-yearly, then, C.I. when the principal is ₹ 7,400, the rate of interest is 5% p.a. and the duration is one year, is :
  • A
    ₹ 373.63
  • ₹ 374.63
  • C
    ₹ 373.36
  • D
    ₹ 373
Answer
Correct option: B.
₹ 374.63
B
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MCQ 411 Mark
The compound interest on ₹ 8,640 for 3 years at 8% p.a. is:
  • ₹ 2345
  • B
    ₹ 3245
  • C
    ₹ 3425
  • D
    ₹ 3452
Answer
Correct option: A.
₹ 2345
A
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MCQ 421 Mark
Nikita invests ₹ 6,000 for two years at a certain rate of interest compounded annually. At the end of the first year, it amounts to ₹ 6,720. The rate of interest p.a. is :
  • A
    8%
  • B
    10%
  • 12%
  • D
    14%
Answer
Correct option: C.
12%
C
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MCQ 431 Mark
A person took a loan of ₹ 6,000 from a bank and agreed to pay back the amount along with interest in 2 years. If the rate of compound interest for the first year is 10% and second year is 12%, the amount he had to pay after 2 years will be :
  • A
    ₹ 7329
  • B
    ₹ 7932
  • C
    ₹ 7292
  • ₹ 7392
Answer
Correct option: D.
₹ 7392
D
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MCQ 441 Mark
The compound interest for the second year on ₹ 8,000 invested for 3 years at 10% р.а. Is :
  • A
    ₹ 780
  • ₹ 880
  • C
    ₹ 980
  • D
    ₹ 1080
Answer
Correct option: B.
₹ 880
B
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MCQ 451 Mark
A man borrows ₹ 5,000 at 12% compound interest p.a., interest payable every six months. He pays back ₹ 1,800 at the end of every six months. The third payment he has to make at the end of 18 months in order to clear the entire loan will be :
  • ₹ 2,024.60
  • B
    ₹ 2,204.60
  • C
    ₹ 2,240.60
  • D
    ₹ 2,402.60
Answer
Correct option: A.
₹ 2,024.60
A
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MCQ 461 Mark
₹ 16,000 is deposited in a bank for three years. The rates of compound interest for first and second year are 8% and 12% respectively. At the end of third year the amount becomes ₹ 21,384. The rate of interest for the third year will be :
  • A
    7%
  • 10%
  • C
    11%
  • D
    12%
Answer
Correct option: B.
10%
B
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MCQ 471 Mark
A man deposits ₹ 10,000 in a cooperative bank for 3 years at 9% p.a. If interest is compounded annually, then the amount he will get from the bank after 3 years is:
  • ₹ 12,950.29
  • B
    ₹ 12,905.29
  • C
    ₹ 12,059.29
  • D
    ₹ 12,095.29
Answer
Correct option: A.
₹ 12,950.29
A
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MCQ 481 Mark
A man invests ₹ 46,875 at 4% p.a. compound interest for 3 years. The interest for the 1st year will be:
  • A
    ₹ 1785
  • B
    ₹ 1587
  • ₹ 1875
  • D
    ₹ 1758
Answer
Correct option: C.
₹ 1875
C
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MCQ 491 Mark
The compound interest on ₹ 3,750 for 2 years at 8% p.a., compounded annually is:
  • A
    ₹ 604
  • B
    ₹ 614
  • ₹ 624
  • D
    ₹ 642
Answer
Correct option: C.
₹ 624
C
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MCQ - MATHEMATICS STD 9 Questions - Vidyadip