Important Simple Interest Questions for SSC CHSL Tier – 1 2018

Dear students, you know that QUANT is a part of getting points and every chapter is important. Therefore, we are providing 15 questions of quant. Solve all these quizzes every day so that you can improve your accuracy and speed. We also provide lots of quant questions. So you can practice that chapter which takes more time to solve the questions.

प्रिय पाठकों, आप सभी जानते हैं कि संख्याताम्क अभियोग्यता का भाग बहुत ही महत्वपूर्ण है. इसलिए हम आपको संख्यात्मक अभियोग्यता कि 15 प्रश्नों कि प्रश्नोत्तरी प्रदान कर रहे हैं. इन सभी प्रश्नोत्तरी को दैनिक रूप से हल कीजिये ताकि आप अपनी गति और सटीकता में वृद्धि कर सकें. हम आपको अन्य कई संख्यात्मक अभियोग्यता के प्रश्न प्रदान करेंगे. ताकि आप पाठ्यक्रम अनुसार उन्हें हल कर पायें.

Q1. A money lender claims to lend money at the rate of 10% per annum simple interest. However, he takes the interest in advance when he lends a sum for one year. At what interest rate does he lend the money actually? 
(a) 10%
(b) 101/9%
(c) 11%
(d) 111/9%
Ans.(d)
Sol. Interest Rate = 10%
Let P → 100
Rate ⇒ 10
Actual Principal = 100 – 10 = 90
Rate = 10/90 × 100 = 11(1/9)%

Q2. A certain sum doubles in 7 years at simple interest. The same sum under the same interest rate will become 4 times in how many years?
(a) 14
(b) 28
(c) 21
(d) 10
Ans.(c)
Sol. 
(n-1)/t1 =(m-1)/t₂
1/7=3/t₂
t₂ = 21 years

Q3. On a certain sum the simple interest for 121/2 year is 3/4 of the sum. Then the rate of interest is?
(a) 5% per year
(b) 6% per year
(c) 7% per year
(d) 8% per year
Ans.(b)
Sol. Let Principal be x
3/4 x=(x×25×r)/(2×100)
r = 6%

(a) Rs. 900
(b) Rs. 960
(c) Rs. 920
(d) Rs. 1620
Ans.(a)
Sol. Time = 6 years 8 months
=6(8/12)=20/3  years
720=(P × 20 × 12)/(3 × 100)
P = 36 × 25
= 900 Rs.

Q5. The discount on a certain sum of money, due at the end of 21/4 years at 22/3% p.a. is Rs. 78. Find the sum?
(a) Rs. 1,278
(b) Rs. 1,300
(c) Rs. 1,378
(d) Rs. 1,400
Ans.(b)
Sol. Total % discount for 9/4 years
=9/4×8/3%
= 6%
78 = P × 6/100
P = Rs. 1300

Q6. If the simple interest on Rs. 1 for 1 month is 1 paisa, then the rate percent per annum will be?
(a) 10%
(b) 8%
(c) 12%
(d) 6%
Ans.(c)
Sol. t = 1 months = 1/12 years
S.I. = 1 paisa
= 1/100 paisa
1/100=(1 × 1 × R)/(12 × 100)
R = 12%

Q7. A money lender lends Rs. 400 for 3 years to a person and lends Rs. 500 for 4 years to the other person at the same rate of simple interest. If altogether he receives Rs. 160 as interest, what is the rate of interest per annum?
(a) 5%
(b) 7%
(c) 9%
(d) 10%
Ans.(a)
Sol. ATQ,
(400 × 3 × r)/100+(500 × 4 × r)/100=160
r (12 + 20) = 160
32r = 160
r = 5%

Q8. The simple interest on a certain sum of money at the rate of 5% per annum for 8 years is Rs. 840. Rate of interest for which the same amount of interest can be received on the same sum after 5 years is?
(a) 7%
(b) 8%
(c) 9%
(d) 10%
Ans.(b)
Sol. ATQ,
840=(P × 40)/100
P = Rs. 2100
840=(2100 × R × 5)/100
R = 8%

Q9. If a sum of money doubles itself in 8 years, then the interest rate in percentage is?
(a) 81/2%
(b) 10%
(c) 101/2%
(d) 121/2%
Ans.(d)
Sol. S.I = 2P – P = P
P=(P × 8 × r)/100
r=100/8=25/2
=12(1/2)%

Q10. Alipta got some amount of money from her father. In how many years will the ratio of the money and the interest obtained from it be 10:3 at 6% simple interest per annum?
(a) 7 years
(b) 3 years
(c) 5 years
(d) 4 years
Ans.(c)
Sol. P : SI = 10 : 3
Let, P = 10x
S.I. = 3x
3x=(10x × 6 × t)/100
t = 5 years

Q11. For what sum will the simple interest at R% for 2 years will be R?
(a) 100/2R
(b) 50
(c) 100/R
(d) 200/R
Ans.(b)
Sol.
R=(P × 2 × R)/100
P = 50 Rs.

Q12. The sum of money that will yield Rs. 60 as simple interest at 6% per annum in years for 5 years is
(a) 200
(b) 225
(c) 175
(d) 300
Ans.(a)
Sol.
60=(P × 6 × 5)/100
P = 200 Rs.

Q13. The rate of simple interest per annum at which a sum of money double itself in 162/3 years is
(a) 4%
(b) 5%
(c) 6%
(d) 62/3%
Ans.(c)
Sol. ATQ
P=P ×50×r/(3 × 100)
r = 6%

Q14. A sum of 3000 yields an interest of 1080 at 12% per annum simple interest in how many years?
(a) 4 years
(b) 3 years
(c) 5 years
(d) 21/2 years
Ans.(b)
Sol.
1080=(3000 × 12 × t)/100
t = 3 years

Q15. In simple interest rate per annum a certain sum amounts to Rs. 5,182 in 2 years and Rs. 5,832 in 3 years. The principal in rupees is?
(a) Rs. 2882
(b) Rs. 5000
(c) Rs. 3882
(d) Rs. 4000
Ans.(c)
Sol. S.I for 1 year = 5832 – 5182 = 650 Rs.
S.I for 2 years = 1300 Rs.
P = 5182 – 1300
= 3882 Rs.