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?

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

Rs . 70 and Rs . 160

Rs . 66 and Rs . 190

Rs . 40 and Rs . 170

Rs . 30 and Rs . 120

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given two friends.
Let one has x Rs. and others has y Rs.,
Then according to the question,

\Rightarrow (x + 100) = 2 (y - 100)

\Rightarrow x + 100 = 2 y - 200

\Rightarrow x - 2 y = - 300

………(1)
Also,

6 (x - 10) = y + 10

\Rightarrow 6 x - 60 = y + 10

\Rightarrow 6 x - y = 70

………..(2)
Multiply equation (2) by 2,

\Rightarrow 12 x - 2 y = 140

………….(3)
Subtract equation (1) and equation (3),

\Rightarrow - 11 x = - 440

\Rightarrow x = 40

Substituting

x = 40

in equation (1),

\Rightarrow 40 - 2 y = - 300

\Rightarrow - 2 y = - 340

\Rightarrow y = 170

One has 40 Rs and others has 170 Rs.
Therefore, option (3) is correct.

Watch 3-min video & get full concept clarity