Maths : Basic Numeracy

Q 238 / 370

UPSC CSE Prelims 2019

Raju has 9000 with him and he wants to buy a mobile handset; but he finds that he has only 75% of the amount required to buy the handset. Therefore, he borrows 2000 from a friend. Then

EXPLANATION

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.