Question

if Meena gives an interest of rupees 45 for 1 year at 9% rate P. a...what is the sum she has borrowed​

Answer 1

Question :-

• If Meena gives an interest of rupees 45 for 1 year at 9% rate P. a...what is the sum she has borrowed.

Given :-

• Simple Interest = Rs,45
• Time = 1 year
• Rate = 9%

To Find :-

• What is the sum or Principal ?

Solution :-

${:} \longrightarrow \sf\boxed{\sf{Simple \: Interest \: = \:\dfrac{Principal \: \times \: Rate \: \times \: Time}{100 } }}$

${:} \longrightarrow \sf{\sf{45\: = \:\dfrac{Principal \: \times \: 9 \: \times \: 1}{100 } }}$

${:} \longrightarrow \sf{\sf{ \dfrac{45 \: \times \: 100}{9 \: \times \: 1} \: = \:Principal}}$

${:} \longrightarrow \sf{\sf{ \dfrac{4500}{9 } \: = \:Principal}}$

${:} \longrightarrow \sf{\bf{ Rs,500 \: = \:Principal}}$

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So, Principal is Rs, 500

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Verification :-

${:} \longrightarrow \sf{\sf{Simple \: Interest \: = \:\dfrac{Principal \: \times \: Rate \: \times \: Time}{100 } }}$

${:} \longrightarrow \sf{\sf{45\: = \:\dfrac{500 \: \times \: 9 \: \times \: 1}{100 } }}$

${:} \longrightarrow \sf{\sf{45\: = \:\dfrac{5 \cancel{00} \: \times \: 9 \: \times \: 1}{1 \cancel{00} } }}$

${:} \longrightarrow \sf{\sf{45\: = \:5 \: \times \: 9 }}$

${:} \longrightarrow \sf{\bf{45\: = \: 45 }}$

Hence, Proved

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Answer 2

Answer ::

The sum Meena has borrowed is Rs. 500

Step-by-step explanation ::

To Find :-

• The sum of money Meena borrowed

Solution :-

Given that,

• Simple interest = Rs. 45
• Time = 1 year
• Rate = 9% per annum

As we know that,

$\dag \: \: \boxed{\tt{Principal} \: \bf{\dfrac{ = Simple \: Interest \times 100}{Rate \times Time}}}$

Where,

• P = Principal
• T = Time
• S.I. = Simple interest
• R = Rate

According the question,

$\sf{\hookrightarrow \: Principal =\dfrac{45 \times 100}{9 \times 1}} \\ \\ \\ \sf{\hookrightarrow \: Principal =\dfrac{4500}{9 \times 1}} \\ \\ \\\sf{\hookrightarrow \: Principal = \dfrac{4500}{9}} \\ \\ \\ \sf{\hookrightarrow \: Principal =\cancel{\dfrac{4500}{9}}}$

Answer) P = 500 ★

Therefore, the principal is Rs. 500.

Additional information

Some important formulas related to Simple interest :-

• Simple interest $\sf{= \dfrac{Principal \times Rate \times Time}{100}}$

• Principal $\sf{= \dfrac{Simple \: Interest \times 100}{Rate \times Time}}$

• Rate $\sf{= \dfrac{Simple \: Interest \times 100}{Principal \times Time}}$

• Time $\sf{= \dfrac{Simple \: Interest \times 100}{Principal \times Rate}}$