Quantitative Aptitude: Simple/Compound Interest Set 14

  1. Find the difference between the interests earned on Rs. 15000 after two years in two different schemes one offering 12% simple interest and other offering 12% compound interest compounded annually.
    Rs.180
    Rs.198
    Rs.222
    Rs.200
    Rs.216
    Option E
    S.I. = 15000*0.12*2 = Rs.3600
    C.I. = 15000*{(1+0.12)^2 – 1} = Rs.3816
    Required Difference = Rs.216

     

  2. Abhi invested a certain amount of money in a scheme offering 20% compound interest for two years. Mona invested Rs.1000 more than Abhi in another scheme offering 25% simple interest for two years. Find the amount invested by Abhi if the difference in the interest earned by Abhi and Mona is Rs.1310.
    Rs.12000
    Rs.13500
    Rs.14400
    Rs.15600
    Rs.18100
    Option B
    Let the amount invested by Abhi and Mona be Rs.x and Rs.’x+1000’resp.
    Interest earned by Abhi = x*{(1+0.20)^3 – 1}= Rs.0.44x
    Interest earned by Mona = (x+1000)*0.25*2 = Rs.0.5x+500
    Now, 0.5x+500 – 0.44x = 1310
    => x = Rs.13500

     

  3. Divide Rs. 3364 between A and B, so that A’s Share at the end of 5 years may equal to B’s share at the end of 7 years, compound interest being at 5 percent. Find B’s share
    Rs.1400
    Rs.1800
    Rs.1200
    Rs.1000
    Rs.1600
    Option E
    (A’s present share)(1+5/100)^5 = (B’s present share)(1+5/100)^7
    =>(A’s present share)/( B’s present share) = 441/400
    A’s present share = 441/(441+400)*3364 = Rs.1764
    B’s present share = 3364 – 1764 = Rs.1600

     

  4. Sahil invested Rs. 84000 in a scheme offering simple interest for three years. Rate of interest for first year, second year and third year is 20%, 24% and 25% resp. Find the interest earned by him after three years.
    Rs.55500
    Rs.58500
    Rs.57960
    Rs.55400
    Rs.56660
    Option C
    Interest earned after three years
    = 84000*(0.20+0.24+0.25) = Rs.57960

     

  5. Aman invested Rs.17000 partially in a scheme A, offering 12 compound interest compounded annually and rest in scheme B offering 15% simple interest. Find the amount invested in scheme A, if the total interest earned by him after two years is Rs.4644.
    10000
    50000
    40000
    30000
    20000
    Option A
    Let the amount invested in scheme A be x.
    Interest earned by scheme A = x*{(1+0.12)^2 – 1} = Rs.0.2544x
    Amount invested in scheme B = Rs.(17000 – x)
    Interest earned by scheme B = (17000 – x)*0.15*2 = Rs.(5100 – 0.3x)
    0.2544x + 5100 – 0.3x = 4644
    => x = 10000

     

  6. Gopal invested Rs.16000 in a scheme offering 10% compound interest for three years compounded annually. Vimal invested Rs.21000 in a scheme offering 8% simple interest for three years. Find the difference in the interest earned by both of them.
    Rs.280
    Rs.274
    Rs.256
    Rs.220
    Rs.200
    Option C
    Interest earned by Gopal = 16000*{(1+0.10)^3 – 1}
    = Rs.5296
    Interest earned by Vimal = 21000*0.08*3 = Rs.5040
    Required Difference = Rs.256

     

  7. Vikky invested Rs.27,000 partially in a scheme A offering 13% simple interest and rest in scheme B offering 10% compound interest compounded annually. The amount invested in scheme B is how much percent less/more than the amount invested in scheme A if the total interest earned by Vikky after three years is Rs.9822?
    24%
    30%
    50%
    10%
    20%
    Option E
    Let the amount invested by him in scheme A be x.
    The amount invested by him in scheme B = 27000 – x
    Interest earned from A = x*0.13*3 = Rs. 0.39x
    Interest earned from B = (27000 – x)*{(1+0.10)^3 – 1} = Rs.8937 – 0.331x
    Now, 0.39x +8937- 0.331x = 9822
    => x = 15000
    Required% = (15000 – 12000)/15000*100 = 20%

     

  8. Jenny invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
    Rs. 5500
    Rs. 5000
    Rs. 6400
    Rs. 6000
    Rs. 6400
    Option E
    Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 – x).
    [xx14x2]/100 + [(13900 – x)x11x2]/100 = 3508
    =>28x – 22x = 350800 – (13900 x 22)
    => 6x = 45000 x = 7500
    Sum invested in Scheme B = Rs. (13900 – 7500) = Rs. 6400

     

  9. A and B invested some amounts in schemes offering simple interest at rate of 8% and 12% per annum resp. A and B deposited their respective amounts for 4 years and 2 years resp. and the interest earned by both of them found to be same. If the amount invested by A is Rs.7000 less than the amount invested by B, find the average of the amounts invested by both of them.
    Rs.26200
    Rs.23300
    Rs.21200
    Rs.24500
    Rs.22000
    Option D
    Let the amount invested by B be x.
    The amount invested by A be (x-7000)
    Now, x*12%*2 = (x-7000)*8%*4
    => x = 28000
    Required average = (28000+21000)/2 = Rs.24500

     

  10. Danish invested Rs. x in a scheme offering 12% simple interest for three years. Reena invested Rs. (x+3000) in a scheme offering 10% compound interest for three years. Find the value of x if the interest earned by Reena is Rs.761 more than the interest earned by Danish.
    6000
    8000
    7000
    4000
    5000
    Option B
    Interest earned by Danish = x*0.12*3 = Rs.0.36x
    Interest earned by Reena = (x+3000){(1+0.10)^3 -1} = Rs.(0.331x + 993)
    Now, 0.331x + 993 – 0.36 = 761
    => x = 8000

     


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One Thought to “Quantitative Aptitude: Simple/Compound Interest Set 14”

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