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Sonia was walking on the street when one lady approached her to donate for cancer patient. She gave her a rupee more than the half of money she had. She walked a few steps more when a girl approached her to donate for poor peoples' fund and she gave 2 rupees more than the half of the money he had then. After that a boy asked her to donate for blind's fund and she gave 3 rupees more than the half of the money she had then. In the end she was having 1 rupee left in his hand. How much rupees Sonia was having in the beginning? 

Sonia was walking on the street when one lady approached her to donate for cancer patient. She gave her a rupee more than the half of money she had. She walked a few steps more when a girl approached her to donate for poor peoples' fund and she gave 2 rupees more than the half of the money he had then. After that a boy asked her to donate for blind's fund and she gave 3 rupees more than the half of the money she had then. In the end she was having 1 rupee left in his hand. How much rupees Sonia was having in the beginning?  Correct Answer 42

Given:

Money left with sonia at end = Re. 1

Calculations:

Let the total money of Sonia = Rs. 8x

Money given to lady by Sonia for cancer patient

= ((8x)/2 + 1) = Rs. 4x + 1

Money left with Sonia after donating to cancer patient 

= (8x - (4x+1)) = 4x -1

Money given to girl by Sonia for poor peoples' fund 

= ((4x-1)/2 + 2) = Rs. 2x + 1(1/2)

Money left with Sonia after donating to poor peoples' fund

= ((4x -1) - (2x + 1(1/2))) = Rs. 2x - 2(1/2)

Money given to boy by Sonia for blind's fund

= ((2x - 2(1/2))/2 + 3) = Rs. x + 1(3/4)

Money left with Sonia after donating to blind's fund

= (2x - 2(1/2)) - ( x + 1(3/4)) = x - 4(1/4)

According to question,

⇒ x - 4(1/4) = 1

⇒ x - (17/4) = 1

⇒ x = 1 + (17/4)

⇒ x = (4 + 17)/4

⇒ x = (21)/4

∴ 8x = (21)/4 × 8 = 42

∴ Total money Sonia was having in the beginning is Rs. 42.

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