Quantitative Aptitude: Simple/Compound Interest Set 17

1. Rs 12,200 was partly invested in scheme X at 10% p.a compound interest(compounded annually) for 2 year and partly in scheme Y at 10% p.a. simple interest for 4 years. Both the schemes give equal interests. How much was invested in scheme X?
   Rs 7000
   Rs 8000
   Rs 9000
   Rs 8500
   Rs 10000
   Option B
   Let it be Rs x. in scheme X
   So in Y=(12200-x)
   Therefore,[(1+10/100)^2 -1] = [(12200-x) *10*4] /100
   x=Rs 8000
   
   
    



2. Mani borrows Rs 8000 at 20 percent compound rate of interest. At end of ech year he pays back Rs 3000,How much amount should he pay at end of third year to clear all his dues?
   Rs 5140
   Rs 6504
   Rs 5904
   Rs 4750
   None of these
   Option C
   At end of first year,=8000+1600=9600
   Amount=9600-3000-6600
   At end of econd year=6600+1320=7920
   Amount=7920-3000=4920
   Amount at third year=4920+984=Rs 5904
   
    



3. Shubhra borrows money at 4% p.a and lends it at 6% p.a compound interest compounded half yearly and thus gains Rs 209 in a year.What is the amount of money she borrows?
   Rs 6000
   Rs 10000
   Rs 12000
   Rs 15000
   None of these
   Option B
   Let amount borrowed be Rs 100.
   Intrest to be paid=Rs 4
   Gain=6.09-4=Rs 2.09
   Actual amunt borrowed=209/2.09 * 100
   
    



4. What sum will give Rs 488 as the difference between S.I and C.I. at 10% in 1 1/2 years compounded half yearly?
   Rs 55000
   Rs 50000
   Rs 64000
   Rs 68000
   None of these
   Option C
   Let sum be Rs 100.
   SI=15
   CI=15.6725
   Difference=0.7625 == 488
   
   
    



5. Rs 20000 was invested by Mani in mutual fund at 10% p.a. at C.I. However every year he has to pay 20% tax on C.I.How much money does Mani have after 3 years?
   Rs 25410
   Rs 25194
   Rs 25640
   Rs 24845
   None of these
   Option B
   
   
    



6. Shubhra takes a loan of Rs 8400 at 10% p.a compounded annually which is to be repaid in two equal annual installments. One at end of one year and other end of second year. What is the value of each installment?
   Rs 4200
   Rs 4500
   Rs 4840
   Rs 4580
   None of these
   Option C
   8400 = x*(210/121)
   
    



7. Mani borrows Rs 6375 to be paid back with C.I at 4% p.a by end of two years in two equal yearly installments. How much will each installment will be of?
   Rs 3380
   Rs 2540
   Rs 2505
   Rs 3520
   None of these
   Option A
   25x/26 +625 /676x = 6375
   x = (6375 * 676) / 1275
   
    



8. If Rs 7200 amounts to Rs 10,368 in C.I at a certain time, then Rs 7200 amounts to what in half of time?
   Rs 8500
   Rs 8640
   Rs 8800
   Rs 8405
   None of these
   Option B
   
   
    



9. There is 50 percent increase in amount in 5 years at S.I. What will be the C.I of Rs 12000 after 3 years at same rate?
   Rs 3565
   Rs 3972
   Rs 3845
   Rs 3540
   None of these
   Option B
   Let P=Rs 100
   I=Rs 50
   T=5 years
   R=50*100/100*5=10%
   In ci,
   CI=(12000(1+10/100)^^3 -1
   
    



10. Mani borrows Rs 3000 at 10% C.I. At the end of every year, he pays back Rs 1000.How much amount should he pay at end of 4th year to clear al his debt?
    Rs 541
    Rs 545
    Rs 750.55
    Rs 751.30
    None of these
    Option D