Question

After what time will rupees 4000 give an interest of rupees 500 at 5% p.a.?
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Answer 1

Step-by-step explanation:

S.I.=P*R*T/100

T=100*S.I./P*R

= 100*500/4000*5

=50000/20000

= 5/2 yrs

OR

2.5 yrs

Answer 2

Answer:

Given :-

• A sum of Rs 4000 give an interest of Rs 500 at 5% per annum.

To Find :-

• What is the time.

Formula Used :-

${\red{\boxed{\large{\bold{T =\: \dfrac{I \times 100}{P \times R}}}}}}$

where,

• T = Time
• I = Interest
• P = Principal
• R = Rate of Interest

Solution :-

Given :

• Principal = Rs 4000
• Interest = Rs 500
• Rate of Interest = 5%

According to the question by using the formula we get,

⇒ $\sf T =\: \dfrac{500 \times 100}{4000 \times 5}$

⇒ $\sf T =\: \dfrac{5\cancel{0000}}{2\cancel{0000}}$

⇒ $\sf T =\: \dfrac{5}{2}$

➠ $\sf\bold{\purple{T =\: 2.5\: years}}$

$\therefore$ The time is 2.5 years .