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- Question
5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers?
Options- A. 102 & 6
- B. 99 & 3
- C. 104 & 8
- D. 100 & 4
- Correct Answer
- 100 & 4
ExplanationLet the first number be x and the second number be y.
Given
5% of x = (25% of y) + y
=> 5x/100 = 5y/4
=> x = 25y ......(1)
and also given that, x - y = 96
=> x = 96 + y .....(2)
From (1)&(2)
25y = 96 + y
=> 24y = 96
=> y = 4
From (1)
x = 96 + 4 = 100
Hence, the numbers are 100 & 4.
- 1. The tax on an article decreases by 10% and its consumption increases by 10%. Find the effect percent on its revenue?
Options- A. 10% increase
- B. 2% decrease
- C. 1% decrease
- D. 11% increase Discuss
- 2. Lagaan is levied on the 60% of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Sukhiya. Sukhiya, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Sukhiya over the total taxable land of the village is:
Options- A. 0.15%
- B. 15%
- C. 0.125%
- D. None of these Discuss
- 3. 25% of 25% Is Equal To
Options- A. 0.0625
- B. 0.0210
- C. 0.03145
- D. 0.3210 Discuss
- 4. One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college?
Options- A. 500
- B. 300
- C. 600
- D. 700 Discuss
- 5. In a factory there are three types of Machines M1 , M2 and M3 which produces 25%, 35% and 40% of the total products respectively. M1, M2 and M3 produces 2% , 4% and 5% defective products, respectively. What is the percentage of non-defective products?
Options- A. 89%
- B. 97.1%
- C. 96.1%
- D. 86.1% Discuss
- 6. 100 percent of which number is 20?
Options- A. 100
- B. 500
- C. 20
- D. 0 Discuss
- 7. One-quarter of one-seventh of a land is sold for Rs. 30,000. What is the value of an four fifteenth of land ?
Options- A. Rs.1,92,000
- B. Rs.2,24,000
- C. Rs.1,26,000
- D. Rs.3,42,000 Discuss
- 8. A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number ?
Options- A. 175
- B. 140
- C. 135
- D. 95 Discuss
- 9. 600 students took the test on physics and chemistry. 35% students failed in physics and 45% students failed in chemistry and 40% of those who passed in chemistry also passed in physics, then how many students failed in both:
Options- A. 162
- B. 138
- C. 60
- D. None of these Discuss
- 10. The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
Options- A. 10% more
- B. 5% more
- C. 12.5% more
- D. 17.5% more Discuss
Percentage problems
Search Results
Correct Answer: 1% decrease
Explanation:
Net % effect on revenue = - 10 + 10 -(10×10)/100 = - 1 Hence % reduction in revenue = 1%
Correct Answer: None of these
Explanation:
Total land of Sukhiya = 480x/0.6 = 800x
Cultivated land of village = 384000x
Required percentage =
Correct Answer: 0.0625
Explanation:
25% of 25% means
25/100 of 25/100
i.e, 1/4 of 1/4
or in other words 1/4 x 1/4=1/16
Hence, the answer is 1/16 = 0.0625.
Correct Answer: 700
Explanation:
Let number of boys in the school = x
Let number of girls in the school = y
Number of students participated in the sports = 300
Out of which boys = 100
but given number of boys participated in sports = x/3
=> x/3 = 100
=> x = 300
Remaining girls = 300 - 100 = 200
=> y/2 = 200
=> y = 400
Therefore, total number of students in the school = x + y = 300 + 400 = 700
Correct Answer: 96.1%
Explanation:
Non- defective products
Correct Answer: 20
Explanation:
Let the rquired number be 'P'
According to the question,
Hence, 100 percent of the number 20 is 20.
Now, you can also try for
20 percent of what number is 100
Hence, 20 percent of the number 500 is 100.
Correct Answer: Rs.2,24,000
Explanation:
One-quarter of one-seventh = 1/4 x 1/7
= 1/28
Now, 1/28 of a land costs = Rs. 30,000
Thus, 8/35 of the land will cost = 30,000 x 28 x 4/15
= Rs. 2,24,000.
Correct Answer: 140
Explanation:
x - 35 = 80x/100
=> x = 175
=> 4x/5 = 4x175/5 = 140.
Correct Answer: None of these
Explanation:
Physics Chemistry
Failed 35% 45%
Passed 65% 55%
Passed in both = 22% of total student
percentage of students who are passed in any of the physics or chemistry or both =(65+55) - 22 = 98%
So, the percentage of students who are failed in both = 2%
Therefore, total failed (in both subjects) students = 12
Correct Answer: 12.5% more
Explanation:
Quantity X Rate = Price
1 x 1 = 1
0.7 x 1.25 = 0.875
Decrease in price = (1-0.875) x 100 = 12.5%
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