Rohit says to Ajay "Give me a hundred, I shall then become twice as rich as you." Ajay replies "If you give me ten, I shall be six times as rich as you." How much does each have originally?

Rohit has Rs.

20

and Ajay has Rs.

90

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Rohit has Rs.

50

and Ajay has Rs.

200

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Rohit has Rs.

40

and Ajay has Rs.

170

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Rohit has Rs.

56

and Ajay has Rs.

190

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Solution

The correct option is C Rohit has Rs. $40$ and Ajay has Rs. $170$
$L e t t h e n u m b e r s b e x, w, z a n d y . 2 (x - 100) = y + 100; x + 10 = 6 (y - 10); x = 6 y - 70; S u b s t i t u t i n g t h e v a l u e i n t h e 1 s t e q u a t i o n : 2 (6 y - 70 - 100) = y + 100; T h e r e f o r e : y = 40 x = 170$

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One says, "Give me a hundred,friend! I shall then become twice as rich as you." The other replies, "If you give me ten, I shall be six times as rich as you. "Tell me what is the amount of their respective capital?

Q. One says, "give me hundred, friend! I shall then become twice as rich as you" The other replies, "If you give me ten, I shall be six times as rich as you". Tell me what is the amount of their respective capital?

One says, “give me hundred, friend! I shall then become twice as rich as you” The other replies, “If you give me ten, I shall be six times as rich as you”. Tell me what is the amount of their respective capital?

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Rohit says to Ajay "Give me a hundred, I shall then become twice as rich as you." Ajay replies "If you give me ten, I shall be six times as rich as you." How much does each have originally?

The correct option is C Rohit has Rs. 40 and Ajay has Rs. 170Letthenumbersbex,w,zandy.2(x−100)=y+100;x+10=6(y−10);x=6y−70;Substitutingthevalueinthe1stequation:2(6y−70−100)=y+100;Therefore:y=40x=170