Question

29. A sum of Rs. 25,000/- amounts to Rs. 31,000/- in 4 years at the rate of simple interest.What is
the rate of simple interest?
(a) 3%
(c) 5%
(6) 4%
(d) 6%
​

Answer 1

Given :-

• A sum of Rs. 25,000/- amounts to Rs. 31,000/- in 4 years at the rate of simple interest.

To find :-

• Rate of simple interest

Solution :-

• Principal (P) = Rs.25000

• Amount (A) = Rs.31000

• Time (T) = 4 years

As we know that

→ Amount = Principal + Simple interest

→ A = P + S.I

→ 31000 = 25000 + S.I

→ S.I = 31000 - 25000

→ S.I = Rs.6000

Hence,

• Simple Interest is Rs.6000

Now,

→ Simple interest = P × R × T/100

→ 6000 = 25000 × R × 4/100

→ 6000 = 250 × R × 4

→ 6000 = 1000 × R

→ R = 6000/1000

→ R = 6 %

Therefore,

• Rate of interest on simple Interest is 6 %

• Correct option is (d)

Answer 2

$\huge\red{\mid{\fbox{\tt{Question}}\mid}}$

A sum of Rs. 25,000/- amounts to Rs. 31,000/- in 4 years at the rate of simple interest. What is the rate of simple interest?

• 3%
• 5%
• 4%
• 6%

$\huge\orange{\mid{\fbox{\tt{Answer}}\mid}}$

$\bold{\pink{\fbox{\red{Given that}}}}$

Principal = 25000 Rupee

Amount = 31000 Rupee

Time = 4 years

$\bold{\pink{\fbox{\red{We know that}}}}$

Amount = Principal + Simple Interest

31000 = 25000 + x

In this We use x as Simple Interest {S.I}

x = 31000 - 25000

x = 6000 Rupees

Hence, S.I = Rupee 6000

Let's carry on ,

Simple Interest =

$p \: \times \: r \: \: \times \frac{time}{100}$

6000 = 25000 × R × 4/100

6000 = 250 × R × 4 ( We cut the 2 zeros of 25000 by the zero of 100 )

(Then the result is like that --- )

6000 = 250 × R × 4

6000 = 1000 × R ( 250 × 4 = 1000 )

R =

$\frac{6000}{1000} = 6$

So the answer is 6 percentage.

So Option D is correct answer

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