Four friends Asha, Babu, Chika and Dishant are out for shopping. Asha has less money than three times the amount that Babu has. Chika has more money than Babu. Dishant has an amount equal to the difference of amounts with Babu and Chika. Asha has three times the money with Dishant. They each have to buy at least one shirt, or one shawl, or one sweater, or one jacket that are priced Rs. 200, Rs. 400, Rs. 600, and Rs. 1,000 a piece respectively. Chika borrows Rs. 300 from Asha and buys a jacket. Babu buys a sweater after borrowing Rs. 100 from Asha and is left with no money. Asha buys three shirts. Which is the costliest item that Dishant could buy with his own money?
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We know that Babu buys a sweater after borrowing Rs. 100 from Asha and is left with no money. So if he borrowed Rs. 100 from Asha that means he had only Rs. 500 ,and If he had Rs. 500 then Asha would have less than Rs. 1500 . Asha has less money than three times the amount that Babu has and Asha has three times the money with Dishant. Therefore Asha has an amount of money which is a multiple of 3 and would be less than 1500. Now Asha gave Rs. 400 as rent to others and she also bought 3 shirts worth Rs. 600 so she had atleast Rs. 1000 with here, and the maximum she can have is 1500. Jacket is worth 1000, and Chika borrows 300 from Asha. So that means Chika had at least 700 with himself. Also, we know that Babu had 400 with him. So that means Dishant will have at least 300 with him. Now keep in mind the prices of items. If Dishant buys a sweater, then he would need to have 600, which would mean that Asha would have 1800. This is not possible. If Dishant buys a shawl worth 400, then Asha has 1200 with her. This is clearly possible, and thus, the item of maximum value that Dishant can buy is a shawl.
1 Shawl is correct answer. But there is an error in the solution part. “Also we know Babu had 400 with him”. This would be 500.