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Quantitative Aptitude > Interest

SIMPLE & COMPOUND INTEREST MCQs

Compound Interest, Simple Interest, Interest (combined)


Total Questions : 1171 | Page 107 of 118 pages
Question 1061. A person invested in all Rs. 2600 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 4% is?
  1.    Rs. 200
  2.    Rs. 600
  3.    Rs. 800
  4.    Rs. 1200
 Discuss Question
Answer: Option D. -> Rs. 1200


Let the parts be x, y and [2600 - (x + y)].Then,(x * 4 * 1)/100 = (y * 6 * 1)/100 = {[2600 - (x + y)] * 8 * 1}/100y/x = 4/6 = 2/3 or y = 2/3 xSo, (x * 4 * 1)/100 = [(2600 - 5/3 x) * 80/10052x = (7800 * 8) => x = 1200Money invested at 4% = Rs. 1200.


Question 1062. Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?
  1.    Rs. 759
  2.    Rs. 792
  3.    Rs. 818
  4.    Rs. 828
 Discuss Question
Answer: Option D. -> Rs. 828


Let the parts be x, y and [2379 - (x + y)]x + (x * 2 * 5/100) = y + (y * 3 * 5/100) = z + (z * 4 * 5/100)11x/10 = 23y/20 = 6z/5 = kx = 10k/11, y = 20k/23, z = 5k/6But x + y + z = 237910k/11 + 20k/23 + 5k/6 = 2379k = (2379 * 11 * 23 * 6)/3965 = (3 * 11 * 23 * 6)/5x = [10/11 * (3 * 11 * 23 * 6)/5] = 828Hence, the first part is Rs. 828.


Question 1063. David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
  1.    Rs. 5000
  2.    Rs. 6500
  3.    Rs. 8000
  4.    Cannot be determined
  5.    None of these
 Discuss Question
Answer: Option A. -> Rs. 5000


Let x, y and z be the amount invested in schemes A, B and C respectively. Then, (x * 10 * 1)/100 + (y * 12 * 1)/100 + (z * 15 * 1)/100 = 320010x + 12y + 15z = 320000Now, z = 240% of y = 12/5 yAnd, z = 150% of x = 3/2 xx = 2/3 z = ( 2/3 * 12/5) y = 8/5 y16y  + 12y + 36y = 320000y = 5000Sum invested in scheme B = Rs. 5000.


Question 1064. A sum of money will double it set in 16 years at simple interest with a yearly rate of:
  1.    10%
  2.    6 1/4 %
  3.    8 %
  4.    16 %
 Discuss Question
Answer: Option B. -> 6 1/4 %

Principal = P. 
 S.I= P 
 Rate =  A Sum Of Money Will Double It Set In 16 Years At Simple Int...
 = 100/16 = 6 1/4 %


Question 1065. The simple interest on a sum of money is 1/9 of the principal and the number of years is equal to the rate percent per annum. The rate percent per annum is
  1.    3
  2.    1/3
  3.    31/3
  4.    3/10
 Discuss Question
Answer: Option C. -> 31/3

Principal = P. 
Then, S.I. = p/q 
 Rate = R % per annum and Time = R years.
p/9
=   The Simple Interest On A Sum Of Money Is 1/9 Of The Princip...


or R2 = 100/9 
or R = 10/3 = 3 1/3 % per annum


Question 1066. Rs. 800 amounts to Rs. 920 in 3 years at simple interest if the interest rate is increased by 3 %, it would amount to how much?
  1.    Rs. 1056
  2.    Rs. 1112
  3.    Rs. 1182
  4.    Rs. 992
 Discuss Question
Answer: Option D. -> Rs. 992

Principal = Rs. 800 
S.I = Rs (920-800) = Rs.120 and Time = 3 years 
Original rate =    Rs. 800 Amounts To Rs. 920 In 3 Years At Simple Interest If...     = 5 %  New Rate = 8 % 
S.I = Rs. Rs. 800 Amounts To Rs. 920 In 3 Years At Simple Interest If... = Rs. 192. 
 Amount = Rs. 992


Question 1067. A sum of money at simple interest amount to Rs. 2240 in 2 years and Re. 2600 in 5 years. The sum is:
  1.    Rs. 1880
  2.    Rs. 2000
  3.    Rs. 2120
  4.    data inadequate
 Discuss Question
Answer: Option B. -> Rs. 2000


S.I for 3 years = Rs. (2600-2240) = Rs. 360 
S.I for 2 years = Rs. (360/3 × 2) = Rs. 240. 
Sum = Rs. (2240-240) = Rs. 2000.


Question 1068. A certain sum of money at simple interest amounts to Rs. 1260 in 2 years and to Rs. 1350 in 5 years. The rate percent per annum is:
  1.    2.5%
  2.    3.75 %
  3.    5 %
  4.    7.5 %
 Discuss Question
Answer: Option A. -> 2.5%


S.I for 3 years = Rs. (1350-1260) = Rs. 90 
S.I for 2 years = Rs (90/3 × 2) = Rs. 60 
Sum = Rs. (1260-60) = Rs. 1200 
Rate = 6000/2400 = 2.5%


Question 1069. A lent Rs. 600 to B for 2 years and Rs. 150 to c for 4 years and receive as together from both Rs. 90 as simple interest. The rate of interest is:
  1.    4%
  2.    5%
  3.    10%
  4.    12%
 Discuss Question
Answer: Option B. -> 5%


Rate = x % per annum = 90 
(or)
18x = 90 
or x = 5


Question 1070. The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is trabled after 5 years which will be the total interest at the end of the tenth year?
  1.    Rs. 600
  2.    Rs. 900
  3.    Rs. 1200
  4.    data inadequate
 Discuss Question
Answer: Option C. -> Rs. 1200

Sum= Rs.x. 
S.I= Rs. 600 
Time= 10 years 
Rate=   The Simple Interest On A Sum Of Money Will Be Rs. 600 After...
= (6000/x)% per annum. 
S.I on Rs. X for 1st five years 
= Rs. (x X 6000/x X 5 X 1/100) = Rs. 900 
Total interest = Rs. (300+900) = Rs. 1200


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