At what rate percent per annum will a sum of money double it
Simplify: (2a2 + 5b2) (a - b) + (a? – b2)(3a + 4b)
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Step-by-step explanation:
Answer:
Option (A) is correct
Step-by-step explanation:
Let the Principal = P
Time (T) = 8 years
Let Rate of interest = R%
Amount (A) = 2P
/* We know that,
\boxed {A =P \big(1+\frac{TR}{100}\big)}
A=P(1+
100
TR
)
\implies 2P = P\big(1+\frac{8R}{100}\big)⟹2P=P(1+
100
8R
)
\implies 2 = \big(1+\frac{8R}{100}\big)⟹2=(1+
100
8R
)
\implies 2-1= \big(\frac{8R}{100}\big)⟹2−1=(
100
8R
)
\implies 1= \big(\frac{8R}{100}\big)⟹1=(
100
8R
)
\implies \frac{100}{8}= R⟹
8
100
=R
\implies R = 12.5\%⟹R=12.5%
Therefore,
Rate of interest (R) = 12.5
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