Question

The simple interest on the certain sum of money for 5 year at 10% per annum in Rupees 196 less than the simple instant on the same sum for 4 year at 16% per annum find the sum

Answer 1

Answer:

Step-by-step explanation:

Let the principal be x

Case 1:

Time = 5 years

Rate of interest = 10%

Formula :SI = \frac{P \times T \times R}{100}SI=

100

P×T×R

SI=\frac{x \times 5 \times 10}{100}SI=

100

x×5×10

Case 2 :

Time = 4 years

Rate of interest = 16%

SI = \frac{x \times 4 \times 16}{100}SI=

100

x×4×16

We are given that The simple interest on a certain sum of money for 5 years at 10% per annum is Rs 196 less than the simple interest on the same sum for 4 years at 16% per annum.

\begin{gathered}\frac{x \times 4 \times 16}{100}-\frac{x \times 5 \times 10}{100}=196\\\frac{x}{100} (4 \times 16 - 5 \times 10)=196\\x=1400\end{gathered}

100

x×4×16

−

100

x×5×10

=196

100

x

(4×16−5×10)=196

x=1400

Hence the sum is 1400