Quantitative Aptitude: Simple/Compound Interest Set 15

  1. Pratyush lent Rs.21600 to be divided between her two daughters who aged 9 years and 11 years such that both of them would get an equal amount at certain age when lent at rate of 10% SI per anuum. If their investments are in ratio of 51:57 respectively.Then at what age both will received same amount?
    9 years
    10 years
    14 years
    15 years
    18 years
    Option E
    p+q = 21600
    p/q = 51/57
    p = 10200 q = 11400
    10200+10200*10*(p-9)/100 = 11400+11400*10*(p-11)/100
    p= 18 years

     

  2. Sum of money becomes Rs.1815 at 7% SI after 3 years. Same sum of money becomes Rs. 2235 at same interest after 7 years.Find the sum of money?
    Rs 1500
    Rs 1400
    Rs 1350
    Rs 1450
    None of these
    Option A
    2235-1815 = P/100(7*7-7*3)
    Sum = Rs 1500

     

  3. Ramesh invests in a company Rs. 124000 for 9 years at 5% SI. Income tax at the rate of 19% is deducted from interest earned at the end of every year. Find the amount at the end of 9th year?
    Rs 1,25,587
    Rs 1,78,158
    Rs 1,69,198
    Rs 1,55,188
    None of these
    Option C
    For 1 year = 124000*5/100 = Rs 6200
    income tax = 6200*81/100 = Rs 5022
    For 9 years = Rs 45198
    Amount = 124000+45198 = Rs 1,69,198

     

  4. Akansha lent a part of Rs. 15900 to Rashi at 6% SI. Rest to Anvesha at 5% SI. After 4 years she got an amount of Rs 19376 in total. Then what is the amount paid by Anvesha in total?
    Rs 9500
    Rs 10,200
    Rs 11,500
    Rs 12,000
    None of these
    Option B
    3476 = p*6*4/100 + (15900-p)*5*4/100
    p =7400
    Anvesha = 8500+8500*4*5/100 = Rs 10200

     

  5. What amount would Rs.2500 fetch if it is lent at 8% SI for 15 years?
    Rs 6000
    Rs 4200
    Rs 4500
    Rs 5000
    Rs 5500
    Option E
    SI = 2500*8*15/100
    =3000
    Amount = 2500+3000 = Rs 5500

     

  6. The simple interest on a certain sum for 2 years at 10% per annum is Rs. 80. The corresponding compound interest is which of the following?
    Rs 84
    Rs 95.50
    Rs 89.25
    Rs 88
    Rs 90
    Option A
    Sum = 100 x80/2 x 10 =Rs 400
    C.I. = Rs.400x (1+10)^ 2/100 – 400 = Rs 84

     

  7. If the difference between the simple interest and compound interests on some principal amount at 10% for 3 years is Rs. 45, then the principal amount is which of the following?
    Rs 1342
    Rs 1398
    Rs 1444
    Rs 1452
    None of thee
    Option D
    Sum = Difference x (100)^3/r^2(300 + r)
    = 45 x (100)^3/10^2 (300 + 10)
    = 45000//31 = Rs 1452

     

  8. If the difference between the CI and SI on a sum of money at 5% per annum for 2 years is Rs.15.Find the Simple Interest ?
    Rs 750
    Rs 500
    Rs 250
    Rs 600
    None of these
    Option D
    15 =P*( 5/100)^2
    P = Rs 6000
    SI =(6000*5*2)/100 = Rs 600

     

  9. The effective annual rate of interest corresponding to nominal rate of 4% per annum payable half yearly will be which of the following?
    4.40
    4.04
    4.0
    4.05
    None of these
    Option B

     

  10. A sum was invested at compound intrest to Rs.800 in 3 years and to Rs.840 in 4 years.Find rate of interest per annum?
    5%
    4%
    2%
    7%
    None of these
    Option A
    Rate of intrest = (100 × 40)/(800×1) = 10/2 = 5%

     


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