Rahul earns Rs $60$ on one day and spends Rs $50$ on the next day.He again earns Rs 60 on the third day and spends Rs $50$ on the fourth day and so on. On which day will he have Rs $200$ with him before spending?

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Solution

$R a h u l e a r n s R s 60 o n o d d d a y s a n d s p e n d s R s 50 o n e v e n d a y s A t t h e e n d o n d a y 2, m o n e y l e f t w i t h R a h u l = R s 10, A t t h e e n d o f d a y 3 m o n e y w i t h h i m b e f o r e s p e n d i n g = R s 70 = 10 + 60, I n a s i m i l a r m a n n e r, l e t s s a y r a h u l h a s R s 200 b e f o r e s p e n d i n g a f t e r x + 1 d a y s, O n t h e l a s t d a y, h e w i l l e a r n R s 60, I n x d a y s, h e w o u l d h a v e e a r n e d R s 10 e v e r y 2 d a y s = 200 - 60 = R s 140 ⟹ \frac{x}{2} \times 10 = 140, x = 28, R a h u l h a s R s 200 b e f o r e s p e n d i n g a f t e r 29 d a y s$

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