Question

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Answer 1

Given:

• Bindu invested rs 2500 for 3 years and rs 4000 for 2½ years at the same rate to intrest .

• The total interest on the 2 invetments was rs 700

To Find:

• The rate of interest on the investments

understanding the question:

Here, we have given the principal, times , simple interest for both the investments and we have been asked to find the rate of interest.So, we've to apply suitable formulae to find out the rate of interest.

Solution:

❍ Let the rate of interest for both the investments be X

${ \underline{ \frak{As \: we \: know \: that}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star{ \underline{ \boxed{{ \mathfrak{simple \: intrest = \frac{p \times t \times r}{100} }}}}}$

Where,

• P stands for principal
• T stands for Time
• R stands for Rate of interest

According to our condition,

${ \boxed{ \tt{total \: intrest} = \frac{ p_{1} \times t_{1} \times x}{100} + \frac{p_{2} \times \: t_{2} \times x}{100} }}$

Substituting the values we get,

$\longrightarrow \tt \: 700 = \frac{25 \cancel{00} \times 3 \times x}{ \cancel{100}} + \frac{40 \cancel{00} \times 5 \times x}{1 \cancel{00} \times 2} \\ \\ \\ \longrightarrow \tt 700 = \frac{25 \times 3 \times x}{1} + \frac{ \cancel{40} \times 5 \times x}{ \cancel2} \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ \longrightarrow \tt 700 = 25 \times 3 \times x + 20 \times 5 \times x \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt 700 = 75 \times x + 100 \times x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt 700 = 75x + 100x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt 700 = 175x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt x = \frac{700}{175} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\\longrightarrow{ \boxed{ \tt {x = 4\%}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hence,

• The rate of interest is 4% per annum

Note:

Writing an exam?? Kindly skip the explaination part in your paper and directly write the solution:)

Answer 2

Answer:

The rates are same on different sums for different terms . The rate is 4 % p.a. .

Step-by-step explanation:

Hoping that handwriting isn't an issue .