6141
1780
upon this what is answer
Answers
Answer:
mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1. Wikipedia
SymbolThe interest is ₹76.50, time is 9 months and compound rate of interest is 6% p.a. quarterly
To Find:
The principal amount
Solution
➝ Here as we have given the compound interest the rate of interest and the time let us find the principal using suitable formulae
{\underline{\mathbb{ As \; we \; know \; that \dag}}}
Asweknowthat†
\;\;\;\;\;\;\;\;\;\dag \;\; \bigg [\bf Compound \; Interest = P\bigg( 1 + \frac{r}{400} \bigg)^{4n} - 1 \bigg]†[CompoundInterest=P(1+
400
r
)
4n
−1]
→here,
C.I = 76.50
Rate = 9%
time = 9 months
→Substituting we get,
\implies \sf 76.50 = P \bigg[\bigg( 1 + \dfrac{9}{400} \bigg) ^{3} - 1 \bigg]⟹76.50=P[(1+
400
9
)
3
−1]
\implies \sf 76.50 = P \bigg[\bigg( \dfrac{409}{400} \bigg)^{3} - 1 \bigg]⟹76.50=P[(
400
409
)
3
−1]
\implies \sf 76.50 = P \bigg[\bigg( \dfrac{409}{400} \bigg)^{3} - 1 \bigg]⟹76.50=P[(
400
409
)
3
−1]
\implies \sf 76.50 = P \bigg[\bigg( \dfrac{409}{400} \bigg)^{3} - 1 \bigg]⟹76.50=P[(
400
409
)
3
−1]
\implies \sf 76.50 = P \times 1.06 - 1⟹76.50=P×1.06−1
\implies \sf P = 1.06 - 1 \div 76.5⟹P=1.06−1÷76.5
\implies \sf P = 1.06 - 0.01⟹P=1.06−0.01
\implies \sf {\boxed{\pmb{\mathtt{ P= 1.05}}}}⟹
P=1.05
P=1.05
Hence the principal amount is