Percentages

Q. In an examination, Mohit scored 20% more than Sushant but 10% less than Rajesh. If the marks scored by Sushant is 1080, find the percentage marks scored by Rajesh, if the full marks is 2000.

1. 72%
2. 78.33%
3. 77.77%
4. 86.66%

Q. 10% of salty sea water contained in a flask was poured out into a beaker. After this, a part of the water contained in the beaker was vapourised by heating and due to this, the percentage of salt in the beaker increased M times. If it is known that after the content of the beaker was poured into the flask. the percentage of salt in the flask increased by x%.
Find the original quantity of seawater in the flask.

1. $\frac{9M-1x\%}{M+1}$
   
2. $\frac{9M+1\%}{M-1}$
   
3. $\frac{(9M+1)x\%}{M-1}$
   
4. $\frac{9M+x\%}{M+1}$

Q. Selling price of a shirt and a coat is Rs. 4000. The cost price of a shirt is 58.33% of the cost price of a coat and so amount of profit on both the shirt and coat is same, then the price of the shirt could be :

1. Rs. 2100
2. Rs. 2499
3. Rs. 1120
4. Rs. 2525

Q. Krishna lyer, a motorist uses 24% of his fuel in covering the first 20% of his total journey (in city driving conditions). If he knows that he has to cover another 25% of his total journey in city driving conditions, what should be the minimum percentage increase in the fuel efficiency for non-city driving over the city driving fuel efficiency, so that he is just able to cover his entire journey without having to refuel? (Approximately)

1. 39.2%
2. 43.5%
3. 41.2%
4. 45.6%

Q. After receiving two successive raises. Hursh's salary became equal to $\frac{15}{8}$ times of his initial salary. By how much percent was the salary raised the first time if the second raise was twice as high (in percent) as the first?

1. 15%
2. 20%
3. 25%
4. 30%

Q. A student appeard in the Mock CAT. The test paper contained 3 sections namely QA, DI and VA. The percentage marks in VA was equal to the average of the percentage marks in all the 3 sections. Coincidentally, if we reverse the digits of the percentage marks of QA we get the percentage marks of Dl. The percentage marks in VA scored by the student could be :

1. 48
2. 66
3. 69
4. 81

Q. In the Garbar Jhala, Aminabad a shopkeeper first raises the price of a Jewellery by x% then he decreases the new price by x%. After one such up-down cycle, the price of a Jewellery decreased by Rs. 21025. After a second up-down cycle, the jewellery was sold for Rs. 484416. What was the original price of the jewellery?

1. Rs. 525625
2. Rs. 5, 00, 000
3. Rs. 6, 00, 625
4. Rs. 5, 26, 000

Q. The minimum quantity of milk in litres (in whole number) that should be mixed in a mixture of 60 litres in which the initial ratio of milk to water is 1 : 4, so that the resulting mixture has 15% milk is

1. 4
2. 5
3. This is not possible
4. 3

Q. A and B have Rs 1200. A spends 12% of his money while B spends 20% of his money. They are then left with a sum that constitutes 85% of the whole sum. Find what amount is left with A.

1. Rs 750
2. Rs 800
3. Rs 700
4. Rs 660

Q. The average weight of a class of students is 67.5 kg. The weight of the class teacher is 25% more than the average weight of the class. The average weight of the class less than the class teacher by x%. The value of x is :

1. 20%
2. can't be determined
3. 33.33%
4. 25%