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# Rajeev Borrowed Rs 15,000 from Sanjay at 12% P.A. Compound Interest. After 2 Years Rajeev Gave Rs 7,500 and a Scooter to Clear the Account. Find the Cost of the Scooter. - Mathematics

Sum

Rajeev borrowed Rs 15,000 from Sanjay at 12% p.a. compound interest. After 2 years Rajeev gave Rs 7,500 and a scooter to clear the account. Find the cost of the scooter.

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#### Solution

Here, P = Rs 15,000; r = 12°/o p.a.; t = 2 years

∴ A =  "P" (1 + "r"/100)^n

= "Rs"  15000  (1 + 12/100)^2

= "Rs"  15000 (112/100)^2

= "Rs"  15000 (28/25)^2

= "Rs"  15000 xx 28/25 xx 28/25

∴ A = Rs 18816

Hence, amount due after 2 years =Rs 18,816

Amount paid after 2 years= Rs 7,500

Balance amount =Amount due after 2 years - amount paid after 2 years = cost of the scooter= Rs (18,816 - 7,500)

Cost of the scooter= Rs 11,316

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#### APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 1 Compound Interest
Exercise 1.2 | Q 6 | Page 8
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