Quants Questions : Simple Interest Set 4

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1. A Principal amount give Rs.12750 as SI for 7 years at the rate of 10% to get the same amount of interest of 10 years, what will be the rate of interest ?
   A)5%
   B)7%
   C)9%
   D)4%
   E)None of these
   
   Answer

   B)7%56
   Explanation :
   SI = PNR/100
   =  12750*7*10/100 = 8925
   SI = 8925
   R = 8925*100/12750*10 = 7
   
   
   
2. Vithya gave Rs.20000/- to Priya for 5 years and Rs.30000/- to Vijay for 2  years. If the rate of interests is the same and she received Rs.12800- as SI from both. What is the rate of interest?
   A)8%
   B)7%
   C)9%
   D)11%
   E) None of these
   
   Answer

   A)8%
   Explanation :
   20000*5*R/100 + 30000*2*R/100 = 12800
   1600R = 12800
   R = 12800/1600 = 8
   
   
   
3. The difference between CI and SI on the same sum for 2 yrs at the rate of 25% pa is Rs.1500. What is the principal lent out in each case ?
   A) Rs.18000
   B)Rs.21000
   C)Rs.23000
   D)Rs.24000
   E) None of these
   
   Answer

   D)Rs.24000
   Explanation :
   P(r/100)² = 1500
   P(25/100) ² = 1500
   P*1/16 = 1500
   P = 1500*16 = 24000
   
   
   
4. A man took a certain sum as loan from bank at a rate of 9% SI per annum. The  man lends the same amount to another person  at 15% SI per annum. If at the end of 4 years man made a profit of Rs. 9000 from the deal. What was the original sum ?
   A)Rs.32,700
   B)Rs.39000
   C)Rs.37500
   D)Rs.32500
   E) None of these
   
   Answer

   C)Rs.37500
   Explanation :
   P*15*4/100 – P*9*4/100 = 9000
   60P – 36P/100 = 9000
   24P= 900000
   P = 37500
   
   
   
5. If the difference between CI and SI earned on a certain amount at 15% pa at the end of 3 years is Rs.3200, find out the principal.
   A)Rs.42560
   B)Rs.42560
   C)Rs.45000
   D)Rs.45150
   E) None of these
   
   Answer

   D)Rs.45150
   Explanation :
   Sum = D*100³/r²(300+r)
   S = 3200*100³/15²(300+15)
   S = 3200*100*100*100/225*315
   = 45149.9 = 45150
   
   
   
6. What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 12 Years?
   A)2:3
   B)3:2
   C)1:4
   D)1:3
   E) None of these
   
   Answer

   A)2:3
   Explanation :
   PR8/100 : PR12/100 = 8PR :12PR
   8:12 = 2:3
   
   
   
7. At what rate per cent per annum will be simple interest on a sum of money be 3/5 of the Principal amount in 6 years?
   A)7%
   B)12%
   C)10%
   D)6%
   E) None of these
   
   Answer

   C)10%
   Explanation :
   P =X, SI = 3/5x
   R = (3x/5 *100)/x*6
   = 10%
   
   
   
8. A sum of money becomes 7/4 of itself in 5years at a certain rate of interest. What is the rate of interest?
   A)15%
   B)18%
   C)20%
   D)22%
   E) None of these
   
   Answer

   A)15%
   Explanation :
   SI = 7/4x – 1 = x(7– 4)/4 = 3x/4
   R = 3x/4*100/x*5 = 300/20 = 15%
   
   
   
9. A sum of money lent out at SI amount to Rs.7000 after 2 years  and Rs.14000 after   a further period of 5yrs. Find the principal ?
   A)Rs.6300
   B)Rs.5100
   C)Rs. 4200
   D)Rs.3700
   E) None of these
   
   Answer

   C)Rs. 4200
   Explanation :
   SI for 5 yrs = 14000(7yr) – 7000(2yr) = 7000
   SI for 2 yrs = 7000*2/5 = 2800
   P = 7000 – 2800 =4200
   
   
   [/spoiler]
10. In what time will Rs.3500 become Rs. 4700 at 4(1/5)%pa SI ?
    A)6yrs
    B)9yrs
    C)8yrs
    D)5yrs
    E) None of these
    
    Answer

    C)8yrs
    Explanation :
    SI = 4700 – 3500 = 1200
    R = 21/5%
    SI = PNR/100
    1200 = 3500*21*N/100*5
    N = 1200*100*5/3500*21 = 8.16 = 8yrs
    
    
    

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