Question

by which rate the principle amount of rs. 1760 has interst 143 rs. in 3*1/4 years​

Answer 1

Answer:

• The rate of interest is 2.7%

Step-by-step explanation:

Given:

• Amount = 1760 rupees
• Simple Interest = 143 rupees
• Time = $\sf3\dfrac{1}{4}$

To Find:

• The rate of interest
• Principal

Solution:

Here,question is saying that amount is given, simple interest is also given and time is also given and we are said to find principal and rate of interest. So firstly we have to convert time and after that we will find principal and after getting the value of principal then we are able to find rate of interest.

We have,

• SI = 143 rupees
• A = 1760 rupees
• T = $\sf3\dfrac{1}{4}$ years= $\dfrac{13}{4}$years

Now we will find principal

As we know,

$\: \: \sf \: principal = amount - simple \: interest$

Now put on formula.

$\: \: \sf \: principal = 1760 - 143 \\ \\ \: \: \sf \: principal = 1617 \: rupees$

Now we will find Rate of interest

As we know

$\: \: \sf \: rate = \frac{si \times 100}{p \times t}$

Now put on formula

$\: \sf \: rate = \frac{143 \times 100}{1617 \times \frac{13}{4} } \\ \\ \: \: \sf \: rate = \frac{143 \times 100 \times 4}{1617 \times 13} \\ \\ \: \: \sf \: rate = \frac{400}{147} \\ \\ \: \: \sf \: rate = 2.7 \: percent$

$\therefore$ Rate of interest is 2.7%.

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Answer 2

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