Question

Five boys went to a store to buy sweets. One boy had Rs. 40. Another boy had Rs. 30. Two other boys had Rs. 20 each. The remaining boy had Rs. 10. Below are some more facts about the initial and final cash positions:

I. Alam started with more than Jugraj. II. Sandeep spent Rs. 1.50 more than Daljeet. III. Ganesh started with more money than just only one other person. IV. Daljeet started with $\frac{2}{3}$ of what Sandeep started with. V. Alam spent the most, but did not end with the least. VI. Jugraj spent the least and ended with more than Alam or Daljeet. VII. Ganesh spent Rs. 3.50. VIII. Alam spent 10 times more than what Ganesh did.

Accepted Answer

D. From VII and VIII, Ganesh spent Rs. 3.50 and Alam spent $10 	imes 3.50 = 	ext{Rs. } 35$. From III, Ganesh started with Rs. 20 (since he started with more than just one person, who started with Rs. 10). From IV, Daljeet started with $\frac{2}{3}$ of Sandeep's amount, so Sandeep started with Rs. 30 and Daljeet with Rs. 20. Thus Jugraj started with Rs. 10 and Alam started with Rs. 40. Alam spent Rs. 35, ending with $40 - 35 = 	ext{Rs. } 5$. Jugraj started with Rs. 10, spent the least ($< 3.50$), and ended with more than Rs. 5 (e.g. spent Rs. 3, ending with Rs. 7). Hence, Jugraj started with Rs. 10 and ended with Rs. 7 can be true.

Initial and Final Cash Positions of Five Boys

Explanation

Practise this under exam conditions