This set of Aptitude Questions and Answers (MCQs) focuses on “Rate Centered”.
1. A man invested x rupees for 6 years at a rate of r% simple interest. If the amount he received after 6 years is 2.85x, find the rate percentage.
a) 33.33%
b) 32.23%
c) 31.03%
d) 30.83%
View Answer
Explanation: The rate = Interest * 100 / (amount invested * time)
The interest = amount received – the amount invested = 2.85x – x = 1.85x
The rate = 1.85 * 100 / (x * 6) = 185 / 6 = 30.83%
2. A man invested x rupees for 4.5 years at a rate of r% simple interest. If the amount he received after 4.5 years is 1.75x, find the rate percentage.
a) 16.66%
b) 20%
c) 22.22%
d) 25%
View Answer
Explanation: The rate = Interest * 100 / (amount invested * time)
The interest = amount received – the amount invested = 1.75x – x = 0.75x
The rate = 0.75 * 100 / (x * 4.5) = 75 / 4.5 = 16.66%
3. A man invested x rupees for 2 years at a rate of r% simple interest. If the amount he received after 2 years is 1.05x, find the rate percentage.
a) 2%
b) 2.5%
c) 3%
d) 3.5%
View Answer
Explanation: The rate = Interest * 100 / (amount invested * time)
The interest = amount received – the amount invested = 1.05x – x = 0.05x
The rate = 0.05 * 100 / (x * 2) = 5 / 2 = 2.5%
4. A man invested x rupees for 11 years at a rate of r% simple interest. If the amount he received after 11 years is 7.85x, find the rate percentage.
a) 62.62%
b) 62.27%
c) 63.32%
d) 63.37%
View Answer
Explanation: The rate = Interest * 100 / (amount invested * time)
The interest = amount received – the amount invested = 7.85x – x = 6.85x
The rate = 6.85 * 100 / (x * 11) = 685 / 11 = 62.27%
5. A man invested x rupees for 9 years at a rate of r% simple interest. If the amount he received after 9 years is 11.25x, find the rate percentage.
a) 113.88%
b) 112.53%
c) 111.35%
d) 110.83%
View Answer
Explanation: The rate = Interest * 100 / (amount invested * time)
The interest = amount received – the amount invested = 11.25x – x = 10.25x
The rate = 10.25 * 100 / (x * 9) = 1025 / 9 = 113.88%
6. A man invested x rupees for 8 years at a rate of r% simple interest. If the amount he received after 8 years is 3.33x, find the rate percentage.
a) 29.125%
b) 29.250%
c) 30.125%
d) 30.250%
View Answer
Explanation: The rate = Interest * 100 / (amount invested * time)
The interest = amount received – the amount invested = 3.33x – x = 2.33x
The rate = 2.33 * 100 / (x * 8) = 233 / 8 = 29.125%
7. A man invested x rupees for 13.5 years at a rate of r% simple interest. If the amount he received after 13.5 years is 12.25x, find the rate percentage.
a) 83.33%
b) 82.23%
c) 81.03%
d) 80.83%
View Answer
Explanation: The rate = Interest * 100 / (amount invested * time)
The interest = amount received – the amount invested = 12.25x – x = 11.25x
The rate = 11.25 * 100 / (x * 13.5) = 1125 / 13.5 = 83.33%
8. A man invested x rupees for 8.5 years at a rate of r% simple interest. If the amount he received after 8.5 years is 6.65x, find the rate percentage.
a) 66.47%
b) 62.47%
c) 64.47%
d) 60.47%
View Answer
Explanation: The rate = Interest * 100 / (amount invested * time)
The interest = amount received – the amount invested = 6.65x – x = 5.65x
The rate = 5.65 * 100 / (x * 8.5) = 565 / 8.5 = 66.47%
9. A man invested x rupees for 13 years at a rate of r% simple interest. If the amount he received after 13 years is 3.6x, find the rate percentage.
a) 5%
b) 10%
c) 15%
d) 20%
View Answer
Explanation: The rate = Interest * 100 / (amount invested * time)
The interest = amount received – the amount invested = 3.6x – x = 2.6x
The rate = 2.6 * 100 / (x * 13) = 260 / 13 = 20%
10. A man invested x rupees for 6 years at a rate of r% simple interest. If the amount he received after 6 years is 2.35x, find the rate percentage.
a) 22.5%
b) 23%
c) 23.5%
d) 25%
View Answer
Explanation: The rate = Interest * 100 / (amount invested * time)
The interest = amount received – the amount invested = 2.35x – x = 1.35x
The rate = 1.35 * 100 / (x * 6) = 135 / 6 = 22.5%
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