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Question Number 44222 by Necxx last updated on 23/Sep/18

A m a n b o r r o w e d x a t 5 % p e r a n n u m

s i m p l e i n t e r e s t . H e p a i d 198000

a f t e r 2 y e a r s . C a l c u l a t e_{}

a) t h e v a l u e o f x

b) s i m p l e i n t e r e s t

Answered by olj55336@awsoo.com last updated on 24/Sep/18

t a k e n 100 + 5 + 5.25 p a y f u l l a m o u n t

198000 / 110.25 \times 100 = 179591.84

Commented by 12344 last updated on 24/Sep/18

no no no

Answered by 12344 last updated on 24/Sep/18

I = \frac{PRT}{100}

cross multiply

I \times 100 = PRT

100 I = PRT

where P = x . R = 5 . T = 2 . I = ?

100 I = x \times 5 \times 2

100 I = x \times 10

100 I = 10 x

\frac{100 I}{10} = \frac{10 x}{10}

10 I = x \dots \dots \dots \dots \dots (1)

B UT

x + I = 198000 \dots \dots \dots (2)

substitute (1) into (2)

10 I + I = 198000

11 I = 198000

\frac{11 I}{11} = \frac{198000}{11}

I = 18000

bu t

10 I = x

10 (18000) = x

180000 = x

t h e r e f o r e

a) x = 180000

b) simple interest (I) = 18000

Commented by Necxx last updated on 24/Sep/18

T h a n k y o u s o m u c h s i r

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