Correct Option
Let the total cost of the mobile handset be 'x'. According to the problem statement, Raju possesses Rs. 9000, which represents 75% of the amount required to purchase the handset.
Therefore, we can set up the equation:
0.75 * x = 9000
Solving for x:
x = 9000 / 0.75
x = 12000
Thus, the mobile handset costs Rs. 12000.
Raju's initial amount: Rs. 9000.
Amount borrowed from a friend: Rs. 2000.
Raju's total available funds: 9000 + 2000 = Rs. 11000.
To purchase the handset, Raju requires Rs. 12000. His currently available funds are Rs. 11000. The deficit is calculated as 12000 - 11000 = Rs. 1000. Therefore, Raju still does not have sufficient funds to buy the handset.
Incorrect Options
Option 2 is incorrect because Raju's total available amount (Rs. 11000) is less than the handset's cost (Rs. 12000), not exactly the same.
Option 3 is incorrect because Raju is short by Rs. 1000, meaning he does not have enough money, let alone a surplus of Rs. 500 after buying the handset.
Option 4 is incorrect because Raju needs an additional Rs. 1000 to purchase the handset; he would not have Rs. 1000 remaining after the purchase, as he is currently in deficit.