कोई आदमी 10% मुनाफा लेकर एक बस्तु बेचता है।यदि उसने इस बस्तु को 10% कम मूल्य पर खरीदा होता एवं 3 रुपए अधिक लेकर बेचा होता तो 25% मुनाफा होता।तो बस्तु का क्रय मूल्य क्या होगा???
Answers
Step-by-step explanation:
Amount is 39366.
Compound interest is 8116.
Step-by-step explanation:
Given:-
Principal is 31250.
Time period is 3 years.
Rate of interest is 8%.
To find:-
Amount.
Compound interest.
Solution:-
Here, Interest is Compounded annually.
So,
\boxed{\sf \bold{Amount = P \bigg(1 + \dfrac{r}{100} \bigg) ^{n} }}
Amount=P(1+
100
r
)
n
Where,
P is principal.
r is rate of interest.
n is time period
So, Put the values in formula:
\begin{gathered}\sf \longrightarrow 31250 \times \bigg(1 + \dfrac{8}{100} \bigg)^{3} \\ \\ \end{gathered}
⟶31250×(1+
100
8
)
3
\begin{gathered}\sf \longrightarrow 31250 \times \bigg( \dfrac{100 + 8}{100} \bigg)^{3} \\ \\ \end{gathered}
⟶31250×(
100
100+8
)
3
\begin{gathered}\sf \longrightarrow 31250 \times \bigg( \dfrac{108}{100} \bigg)^{3} \\ \\ \end{gathered}
⟶31250×(
100
108
)
3
\begin{gathered}\sf \longrightarrow 31250 \times \dfrac{1259712}{1000000} \\ \\ \end{gathered}
⟶31250×
1000000
1259712
\begin{gathered}\sf \longrightarrow 31250 \times 1.259712 \\ \\ \end{gathered}
⟶31250×1.259712
\begin{gathered}\longrightarrow \blue{\boxed{ \sf \bold{ 39366}} \bigstar} \\ \end{gathered}
⟶
39366
★
Thus,
Amount is 39366.
Now,
\boxed{\sf \bold{C.I = Amount - Principal }}
C.I=Amount−Principal
[C.I means Compound interest]
\begin{gathered}\sf \longrightarrow 39366 - 31250 \\ \\ \end{gathered}
⟶39366−31250
\begin{gathered}\sf \longrightarrow \purple{ \boxed{\bold{8116}}\star} \\ \end{gathered}
⟶
8116
⋆
Therefore,
Compound interest is 8116.