# Quant Boosters - Gaurav Sharma - Set 5

• 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%

• 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.

• 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%

• 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

• 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

• 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

• 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

• 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

• 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.

• 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

• 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%

• 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

• 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

• 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 = 32

METHOD 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

• 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

• 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)

• Q18) Ayush can do a piece of work in a certain number of days. To do the same piece of work , Bhavna takes thrice the number of days as Ayush takes whereas Charu takes thrice as many days as Bhavna does and Dhanush takes thrice as many days as Charu does . Now they are paired and two groups are formed. The first pair takes one – third the time taken by the second pair to complete the work. Which is the first pair ?
a) Ayush and Dhanush
b) Ayush and Charu
c) Charu and Bhavna
d) Bhavna and Dhanush

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