7) Abhi and Prem together have Rs. 6,000. After giving Rs. 700 to Abhi, Prem finds that he has 1/3 of
the amount Abhi has. If so, then how inuch money did Prem have in the beginning? /3fu iki
पास कुल मिलाकर 6,000 रुपये हैं। अभि को 700 रुपये देने के पश्चात प्रेम को ज्ञात होता है कि उसके पास अभि
की धनराशि का 1/3 है। यदि ऐसा है, तो प्रारम्भ में प्रेम के पास कितनी धनराशि है?
Answers
Given : Abhi and Prem together have Rs. 6,000
After giving Rs. 700 to Abhi, Prem finds that he has 1/3 of the amount Abhi has
To Find : How Much Prem had Initially
Solution:
Let say Prem had initially = Rs P
Then Abhi Had initially = 6000 - P Rs
Prem Gave Rs 700 to Abhi
Hence Prem has = P - 700 Rs
Abhi Has = 6000 - P + 700 = 6700 - P Rs
Prem has 1/3 of the amount Abhi has
=> P - 700 = (6700 - P)/3
=> 3P - 2100 = 6700 - P
=> 4P = 8800
=> P = 2200
Prem had Initially = Rs 2200
Reverse calculation after giving 700 to abhi
Prem had 1/3 of Abhi
=> x + 3x = 6000
=> x = 1500
Initially Prem Had = 1500 + 700 = 2200 Rs
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