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₹ 9000 becomes ₹ 18000 at simple interest in 8 years. Find the rate per cent per annum. - Mathematics

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Question

₹ 9000 becomes ₹ 18000 at simple interest in 8 years. Find the rate per cent per annum.

Sum

Solution

Given, P = ₹ 9000, A = ₹ 18000 and T = 8 yr

As we know, A = P + I

⇒ I = A – P = 18000 – 9000

⇒ I = ₹ 9000

Now, I = `(P xx R xx T)/100`

⇒ R = `(I xx 100)/(P xx T) = (9000 xx 100)/(9000 xx 8)`

∴ R = 12.5%

Hence, the rate of interest per annum is 12.5%.

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Chapter 7: Comparing Quantities - Exercise [Page 214]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 7 Comparing Quantities
Exercise | Q 132. | Page 214

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