Question : A person loses 75% of his money in the first bet, 75% of the remaining in the second bet and 75% of the remaining in the third bet and returns home with only Rs. 2. His initial money was:
Option 1: Rs. 64
Option 2: Rs. 128
Option 3: Rs. 256
Option 4: Rs. 512
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Correct Answer: Rs. 128
Solution : Let the person have Rs. $x$ initially. He loses $75$% of his money up to the third bet and returns home with Rs. 2. According to the question, $x×\frac{100–75}{100}×\frac{100–75}{100}×\frac{100–75}{100}=2$ $⇒ x×\frac{1}{4}×\frac{1}{4}×\frac{1}{4}=2$ $⇒ x=128$ Hence, the correct answer is Rs. 128.
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Question : A man spends $7\frac{1}{2}$% of his money, and after spending 75% of the remaining, he has Rs. 370 left. How much money did he initially have?
Option 1: Rs. 1200
Option 2: Rs. 1600
Option 3: Rs. 1500
Option 4: Rs. 1400
Question : A man loses 20% of his money and after spending 85% of the remainder, he is left with Rs. 120. How much did he have at first?
Option 1: Rs. 1,200
Option 2: Rs. 1,000
Option 3: Rs. 800
Option 4: Rs. 500
Question : Three persons undertake to complete a piece of work for Rs. 1,200. The first person can complete the work in 8 days, the second person in 12 days and the third person in 16 days. They complete the work with the help of a fourth person in three days. What does the fourth person get?
Option 1: Rs. 180
Option 2: Rs. 200
Option 3: Rs. 225
Option 4: Rs. 250
Question : Ram loses 12.5% of his money and after spending 75% of the remainder, is left with 630. How much money did Ram have initially?
Option 1: 2,080
Option 2: 2,880
Option 3: 2,205
Option 4: 2,808
Question : Soham’s initial expenditure and savings were in the ratio of 5 : 3. His income increased by 25%. If his initial savings were Rs. 4,500, find his income (in Rs.) after the increment.
Option 1: 16,000
Option 2: 15,000
Option 3: 9,375
Option 4: 12,000
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