Q4.
Q4: In how many years will a sum of Rs. 6000 earn a simple interest of Rs. 1800 at 6% per annum?
6 years
4 years
7 years
5 years
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Answer: D. 5 years
Time (T) = (SI × 100) / (Principal × Rate)
T = (1800 × 100) / (6000 × 6) = 180000 / 36000 = 5 years.
Q5.
Q5: What will be the total amount (principal + interest) if Rs. 8000 is invested at 5% simple interest per annum for 4 years?
Rs. 9600
Rs. 9200
Rs. 9400
Rs. 9800
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Answer: A. Rs. 9600
SI = (8000 × 5 × 4) / 100 = 160000 / 100 = Rs. 1600.
Amount = Principal + SI = 8000 + 1600 = Rs. 9600.
Q6.
Q6: A sum of money doubles itself in 8 years at simple interest. What is the annual rate of interest?
10%
12.5%
15%
18%
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Answer: B. 12.5%
If the sum doubles, SI = Principal (P). So, P = (P × R × 8) / 100.
1 = (R × 8) / 100 => R = 100 / 8 = 12.5%.
Q7.
Q7: At what annual rate of simple interest will a sum of money triple itself in 10 years?
15%
25%
20%
30%
Show answer
Answer: C. 20%
If the sum triples, SI = 2 × Principal (P). So, 2P = (P × R × 10) / 100.
2 = (R × 10) / 100 => R = 200 / 10 = 20%.
Q8.
Q8: The simple interest on a certain sum for 3 years at 10% per annum is Rs. 300 less than the simple interest on the same sum for 5 years at 8% per annum. Find the sum.
Rs. 2500
Rs. 3500
Rs. 4000
Rs. 3000
Show answer
Answer: D. Rs. 3000
Let the sum be P.
SI1 = (P × 10 × 3) / 100 = 0.3P
SI2 = (P × 8 × 5) / 100 = 0.4P
According to the question, SI2 - SI1 = 300
0.4P - 0.3P = 300
0.1P = 300 => P = 300 / 0.1 = Rs. 3000.
Q9.
Q9: A sum of Rs. 12000 is lent out in two parts such that the simple interest on the first part at 6% for 3 years is equal to the simple interest on the second part at 8% for 4 years. Find the two parts.
(Rs. 7680, Rs. 4320)
(Rs. 7200, Rs. 4800)
(Rs. 8000, Rs. 4000)
(Rs. 6000, Rs. 6000)
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Answer: A. (Rs. 7680, Rs. 4320)
Let the first part be x. Then the second part is (12000 - x).
SI1 = (x × 6 × 3) / 100 = 18x / 100
SI2 = ((12000 - x) × 8 × 4) / 100 = 32(12000 - x) / 100
Since SI1 = SI2:
18x = 32(12000 - x)
18x = 384000 - 32x
50x = 384000
x = 384000 / 50 = 7680.
First part = Rs. 7680. Second part = 12000 - 7680 = Rs. 4320.
Q10.
Q10: A sum of Rs. 10000 is lent at 10% simple interest for the first 2 years and at 12% for the next 3 years. Find the total simple interest earned.
Rs. 5000
Rs. 5200
Rs. 5400
Rs. 5600
Show answer
Answer: D. Rs. 5600
SI for first 2 years = (10000 × 10 × 2) / 100 = 2000.
SI for next 3 years = (10000 × 12 × 3) / 100 = 3600.
Total SI = 2000 + 3600 = Rs. 5600.