This set of Aptitude Questions and Answers (MCQs) focuses on “Principle Centered”.
1. A man invested x rupees for 10 years at a rate of 5% simple interest. If he received an interest of 250000 after 10 years, find the amount he invested.
a) 5,00,000 rupees
b) 6,12,500 rupees
c) 25,00,000 rupees
d) 50,00,000 rupees
View Answer
Explanation: The amount he received after 10 years as interest = 250000 rupees, which implies he received 250000 / 10 = 25000 rupees interest each year.
The interest percentage = 5% of the amount he invested
5% = 25000, 100% = 25000 / 5 * 100 = 5,00,000
The amount he invested = 5,00,000 rupees.
2. A man invested x rupees for 3.5 years at a rate of 13% simple interest. If he received a total of 14,59,458 after 3.5 years, find the amount he invested.
a) 10,02,064 rupees
b) 10,02,406 rupees
c) 10,24,600 rupees
d) 10,64,200 rupees
View Answer
Explanation: Let the amount he invested be x.
The total amount that the man received = interest + the amount he invested = x + x * 3.5 * 13 / 100
X + x * 3.5 * 13 / 100 = 14,59,458, x + 0.455x = 14,59,458, 1.455x = 14,59,458, x = 14,59,458 / 1.455 = 1003063.91 rupees ≈ 10,02,064 rupees
3. A man invested x rupees for 4 years at a rate of 7.2% simple interest. If the amount he received after 7.2 years was 10,43,280 rupees, find the amount he invested.
a) 8,10,000 rupees
b) 8,75,000 rupees
c) 8,85,000 rupees
d) 9,05,000 rupees
View Answer
Explanation: The amount he invested = x rupees.
The amount he received = x + x * 7.2 * 4 / 100 = x + 0.288x = 1.288x = 10,43,280 rupees
1.288x = 10,43,280 rupees, x = 8,10,000 rupees
The man invested 8,10,000 rupees.
4. A man invested x rupees for 3.5 years at a rate of 4.25% simple interest. If the amount he received after 3.5 years was 74,43,900 rupees, find the amount he invested.
a) 64,60,000 rupees
b) 64,80,000 rupees
c) 64,40,000 rupees
d) 64,20,000 rupees
View Answer
Explanation: The amount he received after 3.5 years = the amount he invested + the interest he received = x + x * 3.5 * 4.25 / 100 = x + 0.14875x = 1.14875x
The amount he received = 74,43,900 rupees = 1.14875x
X = 74,43,900 / 1.14875 = 64,80,000 rupees
5. A man invested x rupees for 13.5 years at a rate of 12% simple interest. If the amount he received after 13.5 years was 60,36,480 rupees, find the amount he invested.
a) 23,40,000 rupees
b) 23,04,000 rupees
c) 24,30,000 rupees
d) 24,03,000 rupees
View Answer
Explanation: The amount he received after 13.5 years = the amount he invested + the interest he received = x + x * 13.5 * 12 / 100 = x + 1.62x = 2.62x = 60,36,480 rupees
The amount he received = 60,36,480 rupees = 2.62x, x = 60,36,480 / 2.62
X = 23,04,000 rupees
6. A man invested x rupees for 6 years at a rate of 12.3% simple interest. If the amount he received after 6 years was 32,88,296 rupees, find the amount he invested.
a) 18,92,000 rupees
b) 18,70,000 rupees
c) 19,45,000 rupees
d) 19,70,000 rupees
View Answer
Explanation: The amount he received = The amount he invested + the interest he received on the amount = x + x * 6 * 12.3 / 100 = x + 0.738x = 1.738x = 32,88,296 rupees
1.738x = 32,88,296 rupees, x = 32,88,296 / 1.738 = 18,92,000 rupees
7. A man invested x rupees for 7 years at a rate of 8% simple interest. If the amount he received after 7 years was 46,00,000 rupees, find the amount he invested.
a) 30,00,000 rupees
b) 35,00,000 rupees
c) 30,25,000 rupees
d) 32,00,000 rupees
View Answer
Explanation: The amount he received after 7 years = the amount he invested + the interest he received on the amount = x + x * 7 * 8 / 100 = x + 0.56x = 1.56x = 46,80,000 rupees
1.56x = 46,80,000 rupees, x = 46,80,000 / 1.56 = 30,00,000 rupees
8. A man invested x rupees for 5 years at a rate of 25% simple interest. If the amount he received after 5 years was 45,56,250 rupees, find the amount he invested.
a) 20,25,000 rupees
b) 25,25,000 rupees
c) 25,20,000 rupees
d) 20,20,000 rupees
View Answer
Explanation: The amount he received after 5 years = the amount he invested + the interest he received on the amount he invested = x + x * 5 * 25 / 100 = x + 1.25x = 2.25x = 45,56,250 rupees.
2.25x = 45,56,250 rupees, x = 45,56,250 / 2.25 = 20,25,000 rupees
9. A man invested x rupees for 20 years at a rate of 9% simple interest. If the amount he received after 20 years was 37,03,000 rupees, find the amount he invested.
a) 13,25,500 rupees
b) 13,22,500 rupees
c) 13,20,500 rupees
d) 13,10,500 rupees
View Answer
Explanation: The amount he received after 20 years = the amount he invested + the interest he received on the amount he invested = x + x * 20 * 9 / 100 = x + 1.8x = 2.8x
The amount he received = 2.8x = 37,03,000 rupees, x = 37,03,000 / 2.8 = 13,22,500 rupees.
10. A man invested x rupees for 8 years at a rate of 30% simple interest. If the amount he received after 8 years was 90,15,281 rupees, find the amount he invested.
a) 13,72,000 rupees
b) 14,62,000 rupees
c) 15,52,000 rupees
d) 16,42,000 rupees
View Answer
Explanation: The amount he received after 8 years = the amount he invested + the interest he received on the amount he invested = x + x * 8 * 30 / 100 = x + 2.4x = 3.4x = 49,70,800 rupees.
3.4x = 49,70,800 rupees, x = 49,70,800 / 3.4 = 14,62,000 rupees
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