Question

15.
Find the principal if the difference between C.I and S.I on it at 15% p.a for 3 years is
1134 rupees​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer:  The required principal is Rs 16000.

Step-by-step explanation:  Given that the difference between C.I and S.I on it at 15% p.a for 3 years is  1134 rupees.

We are to find the principal.

Let P represents the principal.

Also, rate% = 15%  and n = 3 years.

According to the given information, we have

​$C.I.-S.I=1134\\\\\\\RightarrowP\left(1+\dfrac{r}{100}\right)^n-P- \dfrac{P\times n\times r}{100}=1134\\\\\\\Rightarrow P\left(1+\dfrac{15}{100}\right)^3-P-\dfrac{P\times 3\times15}{100}=1134\\\\\\\Rightarrow P\left(\dfrac{23}{20}\right)^3-P-\dfrac{9}{20}P=1134\\\\\\\Rightarrow \dfrac{12167}{8000}P-\dfrac{29}{20}P=1134\\\\\\\Rightarrow \dfrac{12167-11600}{8000}P=1134\\\\\\\Rightarrow \dfrac{567}{8000}P=1134\\\\\\\Rightarrow P=\dfrac{1134\times8000}{567}\\\\\\\Rightarrow P=16000.$

Thus, the required principal is Rs 16000.