Sunil entered a shopping center and spent one half of the money that he had. When he finished his purchase he found that he had as many paise as he had rupees and half as many rupees as he had paise when he went. How much money did he have when he entered?

LohaHridoy
  1. Rs. 75.50
  2. Rs. 98.98
  3. Rs. 99.98
  4. None of these

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AhmedNazir

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Answer: Option 3

Here we have to verify the given two conditions for the given options. Condition :1 As given, after finished his purchase he had the rupees as much as the paise when he went. Condition :2 After finishing purchase, he had Half as many rupees as he had paise when he went. We solve it through option checking method. Case :1 Now suppose the answer is option c Then he spent Rs. $$\frac{{99.98}}{2}$$ = Rs. 49.99 Condition :1 Here we have 99 paise so the rupees should be 99 when he went. He initially had 99 Rs. Hence condition 1 is satisfied. Condition :2 He had 98 paise to begin with. So the rupees he spent should be $$\frac{{98}}{2}$$ = Rs. 49 as per condition 2. It turns out that the rupees actually he spent was 49. Therefore, condition 2 is satisfied as well.

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