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In what time will rupees 2400 amount to rupees 30000 at 10% p.a?​

Sagot :

Step-by-step explanation:

So it's a one line question. But a lot of information provided in one line. Let's check what's that!

Given: Amount (A) is Rs. 30000, Principal (P) is Rs. 2400 and rate (R) is 10% p.a.

To find: Time (t).

Solution: Using the very basic formula: A = P (1 + R/100)^t

Simply plugin the values in above formula to get the value of time (t).

Let's dive in!

⇒ A = P (1 + R/100)^t

⇒ 30000 = 2400 (1 + 10/100)^t

⇒ 30000 = 2400 (1 + 1/10)^t

⇒ 30000 = 2400 (11/10)^t

⇒ 30000/2400 = (11/10)^t

⇒ 300/24 = (11/10)^t

⇒ 25/2 = (11/10)^t

Seems like there's something wrong in question. Because to get the value of time there should be equivalent values which ain't. So let's continue with the calculation.

⇒ 25 = (11/5)^t

⇒ 125 = (11)^t

⇒ (11)^11 = (11)^t

⇒ t = 11 years (approx.)

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