Math, asked by barvearchana14, 3 months ago

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

Answered by amitnrw
1

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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