Question

A sum of money invested at 8% p.a amounts to ₹12122 in 2 years. What will it amount to in 2 years 8 months at 9% p.a???

Guys it's urgent..... giving away a lot of points for this.....pls solve in detail I want a detailed answer.....

Answer 1

Answer:

12958

Step-by-step explanation:

Given, Amount = 12122.

Let Principal = 100, R = 8% p.a, Time (t) = 2 years.

(i)

∴ SI = PTR/100

      = (100 * 2 * 8)/100

      = 16

Then,

A = P + S.I

⇒ A = 100 + 16

⇒ A = 116.

Now,

When A = 116, then principal = 100.

Given, Amount = 12122, then

Principal = (100 * 12122)/116

              = 10450.

(ii)

Rate = 9%, Time = 2 years 8 months = 8/3 years.

∴ SI = PRT/100

       = 10450 * 9 * 8/300

       = 752400/300

       = 2508.

∴ Amount = P + S.I

                = 10450 + 2508

                = 12958.

Therefore, Amount = 12958

Hope it helps!

Answer 2

We know that A = P(1+rt/100)

                     12122 = P(1+16/100)

                     P = 10450.

After 2 years 8 months, it will be 10450 * (1 + 8/3 * 9/100)

                                                    = 10450 * 124/100

                                                    = 12958.

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