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%