Four persons, Alok, Bhupesh, Chander and Dinesh have a total of 100 among themselves. Alok and Bhupesh between them have as much money as Chander and Dinesh between them, but Alok has more money than Bhupesh; and Chander has only half the money that Dinesh has. Alok has in fact 5 more than Dinesh has. Who has the maximum amount of money?
व्याख्या एवं हल
सही उत्तर: (A) Alok
Let Dinesh have x. Then Chander has x/2, Alok has x+5. Total=100, A+B=C+D. Solving: x=30. Therefore amounts: A=35, B=15, C=15, D=30. Alok has maximum.
In English (Question & Model Answer)
Four persons, Alok, Bhupesh, Chander and Dinesh have a total of 100 among themselves. Alok and Bhupesh between them have as much money as Chander and Dinesh between them, but Alok has more money than Bhupesh; and Chander has only half the money that Dinesh has. Alok has in fact 5 more than Dinesh has. Who has the maximum amount of money?
Correct Option: (A) Alok
Let Dinesh have x. Then Chander has x/2, Alok has x+5. Total=100, A+B=C+D. Solving: x=30. Therefore amounts: A=35, B=15, C=15, D=30. Alok has maximum.