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Question
If the ratio of principal and yearly amount be in the ratio 25: 28, then the yearly rate of interest is
3%
12%
10%
8%
ANSWER : 2
Descrption
<p style="margin-left:0px;">The ratio of the principal amount (P) to the yearly amount (A) is given as 25:28. This means:</p><p style="margin-left:0px;">P/A = 25/28</p><p style="margin-left:0px;">To find the yearly rate of interest (R), we can use the formula for simple interest:</p><p style="margin-left:0px;">Simple Interest (SI) = (P * R * T) / 100</p><p style="margin-left:0px;">Where: SI = Simple Interest P = Principal amount R = Rate of interest (yearly rate) T = Time (in years)</p><p style="margin-left:0px;">We are given that the ratio of P to A is 25:28, which means:</p><p style="margin-left:0px;">P/A = 25/28</p><p style="margin-left:0px;">So, we can express P in terms of A as:</p><p style="margin-left:0px;">P = (25/28) * A</p><p style="margin-left:0px;">Now, let's calculate the simple interest using the given principal and yearly amount:</p><p style="margin-left:0px;">SI = A - P</p><p style="margin-left:0px;">Substitute the values of P and A:</p><p style="margin-left:0px;">SI = A - [(25/28) * A]</p><p style="margin-left:0px;">To find the rate of interest (R), we need to find the percentage of SI with respect to the principal amount (P):</p><p style="margin-left:0px;">R = (SI / P) * 100</p><p style="margin-left:0px;">R = { [A - (25/28) * A] / [(25/28) * A] } * 100</p><p style="margin-left:0px;">Simplify the expression:</p><p style="margin-left:0px;">R = { [28A - 25A] / (25A) } * 100</p><p style="margin-left:0px;">R = (3A / 25A) * 100</p><p style="margin-left:0px;">R = (3/25) * 100</p><p style="margin-left:0px;">R = 12%</p><p style="margin-left:0px;">So, the yearly rate of interest is 12%.</p>
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