Keerthi’s father gave him some money to buy books. He spent half of the money equally to buy books and…
The correct choice is: “Rs. 100” Let the amount be x. He spent half of it (on books and friends), so x/2 was left. He deposited half of this, leaving x/4. After giving Rs. 5…
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Keerthi’s father gave him some money to buy books. He spent half of the money equally to buy books and entertaining his friends. Whatever amount left with him, he deposited half in his savings account and gave Rs. 5 to a poor person as charity. Finally, Keerthi was left with Rs. 20 which he returned to his father. What amount did his father give him initially?
Answer and explanation
Correct answer B
The correct choice is: “Rs. 100”
Let the amount be x. He spent half of it (on books and friends), so x/2 was left.
He deposited half of this, leaving x/4. After giving Rs. 5 in charity he had x/4 − 5 left, which equals Rs. 20.
So x/4 = 25 and x = Rs. 100.
Check: 100 → spends 50 → 50 left → deposits 25 → 25 left → gives 5 → 20 left. ✓
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CLAT UG