Jawahar Navodaya Vidyalaya Selection Test (JNVST)
Your gateway to quality education at Jawahar Navodaya Vidyalaya
Percentage and its applications
Questions (20)
Question 1: What is the percentage of 500 g is 4 kg?
Answer: 12.5 %
Explanation:
To find what percentage 500 grams is of 4 kilograms, we first convert 4 kg to grams: 4 kg = 4000 grams. Then, we calculate the percentage: (500 / 4000) * 100 = 12.5%. Therefore, 500 grams is 12.5% of 4 kilograms.
Question 2: What is the decimal equivalent of (₹ 2200 of 4%) of 7.5 %?
Answer: ₹ 6.6
Explanation:
First, find 4% of ₹2200: 4% of 2200 = (4/100) * 2200 = ₹88. Then, find 7.5% of ₹88: 7.5% of 88 = (7.5/100) * 88 = ₹6.6.
Question 3: Which of the following is equivalent to 1.01?
Answer: 101 %
Explanation:
To convert a decimal to a percentage, multiply by 100. So, 1.01 x 100 = 101%. Therefore, 1.01 is equivalent to 101%.
Question 4: Weight of tomato comprises 90% of water. Weight of water in 25 kg of tomato is
Answer: 22.5 kg
Explanation:
If 90% of the tomato's weight is water, then to find the weight of the water in 25 kg of tomatoes, calculate 90% of 25 kg. 90% of 25 kg = 0.9 x 25 kg = 22.5 kg. Therefore, the weight of the water in 25 kg of tomatoes is 22.5 kg.
Question 5: In a musical concert, 15% of the total is reserve for first class. If all the tickets were sold except 171 ticket of first class, then how many tickets were sold?
Answer: 1140
Explanation:
Let the total number of tickets be x. Then, 15% of x is reserved for first class, which is 0.15x. If 171 first class tickets were not sold, then 0.15x - 171 tickets were sold. The remaining tickets (85% of x) were sold, so 0.85x + (0.15x - 171) = x - 171 were sold. Solving for x: x - 171 = 1140, so x = 1140 + 171 = 1311. Therefore, the number of tickets sold is 1140.
Question 6: 17/25 can be expressed in percentage is
Answer: 68%
Explanation:
To convert a fraction to a percentage, we multiply it by 100. So, (17/25) x 100 = 68%. Therefore, 17/25 as a percentage is 68%.
Question 7: The price of 12 kg potato is ₹ 360. Then, the price of 8 kg potato is
Answer: ₹ 240
Explanation:
First, find the price per kg by dividing the total price by the total weight: ₹ 360 / 12 kg = ₹ 30 per kg. Then, multiply the price per kg by 8 kg to find the price for 8 kg: ₹ 30 x 8 = ₹ 240.
Question 8: A boy gets Rs 20 per month and spends 50% of it. How much does he save in 1 yr?
Answer: Rs 120
Explanation:
The boy earns Rs 20 per month and spends 50% of it. So, he spends Rs 20 × 50% = Rs 10 each month. Therefore, he saves Rs 20 - Rs 10 = Rs 10 per month. In one year (12 months), he saves Rs 10 × 12 = Rs 120.
Question 9: The original price of a car is Rs 500000. What is the new price if the original price is reduced by 10%?
Answer: Rs 450000
Explanation:
10% of Rs 500000 is Rs 50000. So, the new price is Rs 500000 - Rs 50000 = Rs 450000.
Question 10: 0.075 when expressed as per cent is
Answer: 7.5%
Explanation:
To convert a decimal to a percentage, multiply by 100. So, 0.075 x 100 = 7.5%. Thus, 0.075 expressed as a percentage is 7.5%.
Question 11: Out of a total of 250 marks, a student got 30% marks and failed by 25 marks. The marks necessary for passing is
Answer: 100
Explanation:
First, calculate 30% of 250 marks: 30/100 × 250 = 75 marks. The student failed by 25 marks, meaning they needed 25 more marks to pass. Therefore, the passing marks are 75 + 25 = 100.
Question 12: In different subjects, the number of passed students in a class of 40 students. To study the graph say that, what per cent of the student in English has passed?
Answer: 37.5
Explanation:
According to the graph, 15 students passed in English. To find the percentage: (15/40) * 100 = 37.5%.
Question 13: The value of 0.05% is
Answer: 0.0005
Explanation:
To convert a percentage to a decimal, divide by 100. So, 0.05% = 0.05 ÷ 100 = 0.0005. Therefore, the correct answer is 0.0005.
Question 14: A student scored 18 marks out of 25 marks in the first test of Math. In the second test he scored 22 marks in the second test exceeds his first test by
Answer: 16%
Explanation:
First test percentage = (18/25) x 100 = 72%. Second test percentage = (22/25) x 100 = 88%. The increase is 88% - 72% = 16%.
Question 15: After allowing a discount of 18%, a washing machine is available for ₹ 13489. What is the marked price of the washing machine?
Answer: ₹ 16450
Explanation:
To find the marked price, let the marked price be 'x'. After an 18% discount, the price becomes 82% of the marked price. So, 82% of x = ₹ 13489. This can be written as 0.82 * x = 13489. Solving for x, we get x = 13489 / 0.82 = ₹ 16450.
Question 16: A student scored 18 marks out of 25 marks in the first test of Math. In the second test he scored 22 marks in the second test exceeds his first by
Answer: 16%
Explanation:
First, find the difference in marks: 22 - 18 = 4 marks. To find the percentage increase, use the formula: (Difference / Original number) × 100%. So, (4 / 25) × 100% = 16%.
Question 17: After allowing a discount of 18%, a washing machine is available for ₹ 13489. What is the marked price of the washing machine?
Answer: ₹ 16450
Explanation:
Let the marked price be ₹ M. After an 18% discount, the price becomes 82% of the marked price. So, 0.82M = 13489. Solving for M gives: M = 13489 / 0.82 = 16450. Therefore, the marked price is ₹ 16450.
Question 18: 90% of 300 + 30% of 90 is equal to
Answer: 297
Explanation:
To solve this, we need to calculate each percentage separately and then add them together. First, find 90% of 300: 90% of 300 = (90/100) * 300 = 270. Next, find 30% of 90: 30% of 90 = (30/100) * 90 = 27. Now, add these two results together: 270 + 27 = 297. Therefore, the answer is 297.
Question 19: In an annual examination, Hardik got 500 marks out of 725. What is his approximate per cent in the examination?
Answer: 69
Explanation:
To find the percentage, we use the formula: (obtained marks / total marks) * 100. Here, Hardik got 500 marks out of 725. So, the percentage is (500 / 725) * 100 = 68.9655, which is approximately 69%.
Question 20: A, B and C divide an amount of ₹ 9861 amongst themselves in the ratio of 3:11:5, respectively. What is the B's share in the amount?
Answer: ₹ 5709
Explanation:
First, find the total parts in the ratio: 3 + 11 + 5 = 19 parts. B's share is 11 parts. So, B's share is (11/19) * 9861 = 5709.