1. A watermelon weighing 20 kg contains 96% of water by weight. It is put in sun for some time and some water evaporates so that now it contains only 95% of water by weight. The new weight of watermelon would be?
A. 17 kg
B. 15 kg
C. 18.5 kg
D. 16 kg
Answer: Option D
Explanation:
Let new weight be x kg
Since the pulp is not being evaporated, the quantity of pulp should remain same in both cases. This gives
(100 - 96)% of 20 = (100 - 95)% of x
Solve, x = 16 kg
2. If the price of wheat is reduced by 2%. How many kilograms of wheat a person can buy with the same money which was earlier sufficient to buy 49 kg of wheat?
A. 58 kg
B. 60 kg
C. 52 kg
D. 50 kg
Answer: Option D
Explanation:
Let the original price = 100 Rs per kg
Then money required to buy 49 kg = 49*100 = Rs 4900
New price per kg is (100-98)% of Rs 100 = 98
So quantity of wheat bought in 4900 Rs is [latex]\frac{4900}{98}[/latex] = 50 kg
3. The number of seats in a cinema hall is decreased by 12 percent and the price of tickets also decreased by 4 percent. Find the change in the collection of revenue.
A. decrease 15.52%
B. decrease 16.52%
C. decrease 17.52%
D. decrease 14.325
Answer: Option A
Explanation:
Let initial seats = 100 and cost per seat = 100, so initial revenue = 10000
now final revenue = 88*96 = 8448
% percent change in revenue = [latex]\frac{(10000 – 8448)}{10000}[/latex]*100 = 15.52%
4. A man has 2000 rupees in his account two years ago. In the first year he deposited 20 percent of the amount in his account. In the next year he deposited 10 percent of the increased amount in the account. Find the total amount in the account of the person after 2 years.
A. 2650
B. 2640
C. 2740
D. 2840
Answer: Option B
Explanation:
2000 + 400 + 240 = 2640 (400 in first year and 240 is added in the second year)
5. In an election contested by two parties A and B, party A secured 25 percent of the total votes more than Party B. If party B gets 15000 votes. By how much votes does party B loses the election?
A. 8000
B. 10000
C. 12000
D. 15000
Answer: Option B
Explanation:
Let total votes = T and party B gets 15000 votes then party A will get T -15000 votes
T – 15000 – 15000 = [latex]\frac{25T}{100}[/latex]
T = 40000, so A get 25000 and B gets 15000 votes, so difference = 10000