Mrs verma went for shopping. She spent 1/3 of the amount she had on novel and rs10 on its packing.she spent3/4 of what was left on stationary for her son and gave rs6 to a begger.then went to vegetable market and bought vegetables with 1/2?the money left with her.she spent rs25 on dare to her home and was left withrs50 in the end .how much money did she have in the beginning?

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Dear student
$L e t t h e a m o u n t t h a t M r s V e r m a h a s i n t h e b e g i n n i n g b e R s x N o w, S h e s p e n t \frac{1}{3} r d o f t h e t o t a l a m o u n t o n n o v e l a n d R s 100 o n p a c k i n g w h i c h i s = \frac{1}{3} x + 10 L e f t o v e r a m o u n t a f t e r t h e s e e x p e n s e s = x - (\frac{1}{3} x + 10) = \frac{2 x}{3} - 10 N o w, s h e s p e n t \frac{3}{4} t h o f t h e l e f t o v e r a m o u n t i n s t a t i o n a r y a n d g a v e R s 6 t o b e g g e r . = \frac{3}{4} (\frac{2 x}{3} - 10) + 6 = \frac{6 x}{12} - \frac{30}{4} + 6 = \frac{6 x - 90 + 72}{12} = \frac{6 x - 18}{12} = \frac{x - 3}{2} l e f t o v e r a m o u n t = (\frac{2 x}{3} - 10) - (\frac{x - 3}{2}) = \frac{4 x - 60 - 3 x + 9}{6} = \frac{x - 51}{6} N o w, s h e s p e n t \frac{1}{2} o f l e f t o v e r a m o u n t i n u y i n g v e g e t a b l e s a n d s p e n t R s 25 o n d a r e t o h o m e = \frac{1}{2} (\frac{x - 51}{6}) + 25 = \frac{x - 51}{12} + 25 = \frac{x - 51 + 300}{12} L e f t o v e r a m o u n t = \frac{x - 51}{6} - (\frac{x - 51 + 300}{12}) = \frac{2 x - 102 - x + 51 - 300}{12} = \frac{x - 351}{12} N o w, A T Q \frac{x - 351}{12} = 50 x - 351 = 600 x = 951 S o, M r s V e r m a h a s R s 951 i n t h e b e g i n n i n g .$
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