Question

13. A sum of money invested at 5 per cent simple
interest amounts to Rs. 650 in 6 years. What is the
rincinal will amount to Po
sum of money ?​

Answer 1

Answer:

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Answer 2

Correct Question :

• A sum of money invested at 5 per cent simple interest amounts to Rs. 650 in 6 years. What is the Principal and amount ?

Given :

• Simple Interest = Rs 650
• Rate = 5% p.a
• Time = 6 years

To Find :

• Principal
• Amount

Solution :

✰ As we know that, Simple Interest is given by SI = P × R × T / 100 and from this Formula we know that Principal is given by P = SI × 100 / R × T and Amount is given by A = Principal + Simple Interest , so we will simply put the given values in the formula to find the Principal and Amount.

⠀⠀⠀

⠀⠀⠀⟼⠀⠀SI = P × R × T / 100

⠀⠀⠀⟼⠀⠀P = SI × 100 / R × T

⠀⠀⠀⟼⠀⠀P = 650 × 100 / 5 × 6

⠀⠀⠀⟼⠀⠀P = 650 × 100 / 30

⠀⠀⠀⟼⠀⠀P = 650 × 10 / 3

⠀⠀⠀⟼⠀⠀P = 6500 / 3

⠀⠀⠀⟼⠀⠀P = Rs 2166.67

⠀⠀

Now,

➞ Amount = SI + P

➞ Amount = 650 + 2166.67

➞ Amount = Rs 2,816.67

⠀

Thus, Principal is Rs 2166.67 and Amount is Rs 2816.67

________________

★ Additional Info :

$\small\boxed{\begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Principle :- \dfrac{SI \times 100}{R \times T}} \\ \\\bigstar \: \sf{Rate \: of \: Interest :- \dfrac{SI \times 100}{P \times T}} \\ \\ \bigstar \: \sf{Time :- \dfrac{SI \times 100}{P \times R}}\end{array}}$