Respuesta :
Answer:
The answer is "1.1"
Explanation:
In the case of a single Interest, the principal value is determined as follows:
[tex]\ I = Prt \\\ A = P + I\\A = P(1+rt) \\\\A = amount \\P= principle\\r = rate\\t= time[/tex]
In case of discount:
[tex]D = Mrt \\P = M - D \\P = M(1-rt)\\\\Where, D= discount \\M =\ Maturity \ value \\[/tex]
Let income amount = 100, time = 1.5 years, and rate =20 %.
Formula:
A = P(1+rt)
A =P+I
by putting vale in the above formula we get the value that is = 76.92, thus method A will give 76.92 value.
If we calculate discount then the formula is:
P = M(1-rt)
M = 100 rate and time is same as above.
[tex]P = 100(1-0.2 \times 1.5) \\P = 100 \times \frac{70}{100} \\P = 70[/tex]
Thus Method B will give the value that is 70
calculating ratio value:
[tex]ratio = \frac{\ method\ A \ value} {\ method \ B \ value}\\\\\Rightarrow ratio = \frac{76.92}{70}\\\\\Rightarrow ratio = \frac{7692}{7000}\\\\\Rightarrow ratio = 1.098 \ \ \ \ or \ \ \ \ 1.[/tex]
