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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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సంవత్సరానికి 10% బారువడ్డీ చొప్పున, 2 సంవత్సరాలలో ₹480 వడ్డీని ఆర్జించే అసలు మొత్తం (₹లలో) ఎంత?
2550
2600
2400
2200
2550
Since the interest rate is 10% for 2 years, the total interest is 20% of the principal. 20% of P = 480, so 100% of P = 480 × 5 = 2400.
Simple Interest (SI) = ₹480, Time (T) = 2 years, Rate (R) = 10% per annum.
SI=100P×R×T
Since the interest rate is 10% for 2 years, the total interest is 20% of the principal. 20% of P = 480, so 100% of P = 480 × 5 = 2400.
Many students mistake the total interest percentage (20%) for the annual rate (10%) or miscalculate the division, leading to selecting 2550 incorrectly.
State the Simple Interest formula
To find the principal (P), we use the simple interest formula where SI is the interest, R is the rate, and T is the time.
SI=100P×R×T
Substitute the given values
Substitute SI = 480, R = 10, and T = 2 into the formula.
480=100P×10×2
Simplify and solve for P
Simplifying the right side: 480=10020P=5P. Then, solve for P by multiplying 480 by 5.
P=480×5=2400
C is correct because the principal sum required to earn ₹480 in 2 years at 10% simple interest is ₹2400.
Simple interest problems are directly related to profit and loss percentages; remember that total simple interest is simply (Rate × Time)% of the principal.