Quant Boosters  Gaurav Sharma  Set 5

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q3) Samsung mobile phone is available for Rs.2500 cash or Rs.520 cash down payments followed by 4 equal installments. If the rate of interest charged is 25% per annum Simple interest, calculate the monthly installment
a. 520
b. 480
c. 550
d. None of these

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q4) Hiralal gave a loan of Rs. 20 to Ramlal and recovered it at the rate of Rs 3.50 for eight months, commencing from the end of 1st month. What is the effective rate of simple interest?
a. 60%
b. 80%
c. 20%
d. 90%

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q5) Find the amount of debt that will be discharged by 5 equal installments of Rs. 200 each, if the debt is due in 5 year at 5% p.a.

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q6) A watch is sold for Rs.440 cash or for Rs.200 cash down payment together with Rs.244 to be paid after one month. Find the rate of interest charged in the installment scheme.
a. 10%
b. 15%
c. 20%
d. 25%

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q7) Three equal installment, each of Rs 200, were paid at the end of year on a sum borrowed at 20% compound interest compounded annually. Find the sum.
a. Rs 600
b. Rs 400
c. Rs 421.30
d. Rs 432.10

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q8) Kishore purchases a track suit for Rs.2400 cash or for Rs.1000 cash down payments and two monthly installments of Rs.800 each. Find the rate of interest.
a. 75%
b. 120%
c. 50%
d. None of these

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q9) A man borrows Rs. 2100 and undertakes to pay back with compound interest @ 10% p.a. in 2 equal yearly installments at the end of first and second year. What is the amount of each installment?
a. 1200
b. 1210
c. 1300
d. 1310

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q10) A man borrows Rs. 820 and undertakes to pay back with compound interest @ 5% p.a. in 2 equal yearly installments at the end of first and second year. What is the amount of each installment?
a. 400
b. 420
c. 441
d. 410

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q11) A man borrows Rs. 1820 and undertakes to pay back with compound interest @ 20% p.a. in 3 equal yearly installments at the end of first, second and third years. What is the amount of each installment?
a. 864
b. 850
c. 820
d. 900

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q12) Find the amount of equal instalment, annual payment of which will discharge a debt of Rs. 848 due in 4 years at 4% p.a. of Simple interest.

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q13) What annual installment will discharge a debt of Rs 2,360 due in four years at 12% p.a. simple interest?
a. 400
b. 500
c. 300
d. 600

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q14) A sum of money invested at compound interests amounts to Rs. 800 in 3 years and to Rs 840 in 4 years. The rate of interest per annum is
(a) 10%
(b) 7%
(c) 6%
(d) 5%

gaurav_sharma last edited by gaurav_sharma
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q15) Rs.2400 becomes Rs.3000 in 3 years at a certain rate of compound interest. What will be the sum after 6 years?
(a) Rs. 4750
(b) Rs. 3750
(c) Rs. 3570
(d) Rs. 3850

@gaurav_sharma  C



gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q16) Rahul and Anjali can complete a piece of work in 16 days , which Anjali can complete in 32 days . If Rahul and Anjali work on alternate days , starting with Anjali , in how much time would the work be completed ?
a)17.25 days
b) 17.66 days
c) 20 days
d) 32 days

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
METHOD 1 :
let the work be 32 units
R + A ( in 1 day ) = 2 units
A ( in 1 day ) = 1 unit
=> R ( in 1 day ) = 1 unit
work will be completed in 32/(1+1) = 16 shifts
days = 16 * 2 = 32METHOD 2 : rahul completes in x days
16 * x/(16+x) = 32
x = 32
rahul completes in 32 days
anjali in 32 days
both working alternately do 1/32 +1/32 = 1/16 work in 1 shift i.e. 2 days
work will be completed in 16 shifts
i.e. 32 days

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q17) 64 men working 8 hour a day plan to complete a piece of work in 9 days . However , 5 days later they found that they had completed only 40% of the work. They now wanted to finish the remaining portion of the work in 4 more days. How many hours per day should they need to work in order to achieve the target ?
a) 11
b) 12
c) 13
d) 15

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
apply the formula (M1 * D1 * T1)/W1 = (M2 * D2 * T2)/W2
let no. of hours be t
(64 * 8 * 5)/(2/5) = (64 * x * 4)/(3/5)