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- Question
- Amit and Sudesh have invested in the ratio of 4 : 7. If both invested a total amount of ? 49500, then find the investment of Sudesh?
Options- A. ? 31500
- B. ? 1800
- C. ? 31000
- D. ? 18500
- Correct Answer
- ? 31500
ExplanationGiven total amount = ? 49500
Let part of Amit's investment = 4k
and part of sudesh's investment = 7k
According to the question
4k + 7k = 49500
? 11k = 49500
? k = 49500/11
? k = 4500
Hence investment of sudesh = 7k = 7 x 4500 = 31500 - 1. Weekly income of two persons are in the ratio of 7 : 3 and their weekly expenses are in the ratio of 5 : 2. If each of them saves ? 300 per week, then the weekly income of the first person is?
Options- A. ? 7500
- B. ? 4500
- C. ? 6300
- D. ? 5400 Discuss
- 2. Two number are in the ratio of 2 : 3. If 9 is added to each number, they will be in the ratio 3 : 4. What is the product of the two numbers?
Options- A. 360
- B. 480
- C. 486
- D. 512 Discuss
- 3. From each of two given numbers, half the smaller number is subtracted. After such subtraction, the larger number is 4 times as large as the smaller number. What is the ratio of the numbers?
Options- A. 5 : 2
- B. 1 : 4
- C. 4 : 1
- D. 4 : 5 Discuss
- 4. The ratio between two number is 3 : 4. if each number is increased by 3, the ratio becomes 4 : 5. Find the differences between the numbers.
Options- A. 3
- B. 9
- C. 2
- D. 7 Discuss
- 5. One - half of a certain number is equal to 65% of the 2nd number. Find the ratio of 1st to 2nd number.
Options- A. 10 : 13
- B. 8 : 13
- C. 13 : 8
- D. 13 : 10 Discuss
- 6. A bag contains ? 1, 50 paise and 25 paise coins in the ratio of 8 : 9 : 11. If the total money in the bag is ? 366, then find the number of 25 paise coins?
Options- A. 264
- B. 364
- C. 241
- D. 245 Discuss
- 7. If sum of ? 1664 is divided between P and Q in the ratio of 1/3 : 1/5, then find P's share?
Options- A. 1085
- B. 1015
- C. 1090
- D. 1040 Discuss
- 8. The marks of 3 students A, B and C are in the ratio 10 : 12 : 15. If the maximum marks of the paper are 100, then the marks of B cannot be in the range of?
Options- A. 20 - 30
- B. 40 - 50
- C. 70 - 80
- D. 80 - 90 Discuss
- 9. Brother A and B had some saving in the ration 4 : 5. They decided to buy a gift for their sister, sharing the cost in the ratio 3 : 4, After they bought, A spent two- third of his amount, while B is left with ? 146, Then the value of the gift is?
Options- A. ? 70
- B. ? 105
- C. ? 140
- D. ? 175 Discuss
- 10. A sum of the ? 300 is divided among P, Q and R in such a way that Q gets ? 30 more than P and R gets ? 60 more then Q. Then, ratio of their shares is?
Options- A. 2 : 3 : 5
- B. 3 : 2 : 5
- C. 2 : 5 : 3
- D. 5 : 3 : 2 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: ? 6300
Explanation:
Let the income of two persons are 7k and 3k
Expenditure of first person = 7k - 300
Expenditure of second person = 3k - 300
According to the question,
(7k - 300)/(3k - 300) = 5/2
? 14k - 600 = 15k - 1500
? k = 900
Income of first person = 7k = 7 x 900
= ? 6300
Correct Answer: 486
Explanation:
Let the number be M and N
According to the question.
M/N = 2/3
? 3M = 2N
? 3M - 2N = 0 ...(i)
And (M + 9)/(N + 9) = 3/4
? 4M + 36 = 3N + 27
? 4M - 3N = -9 ...(ii)
Multiplying Ex. (i) by 4 and Eq. (ii) by 3 and subtracting, we get N = 27
Now, putting N = 27 in Eq. (i), we get 3M = 54
? M = 18
? Product of the given numbers = 27 x 18 = 486
Correct Answer: 5 : 2
Explanation:
Let the smaller number = M and the greater number = N
According to the question ,
(N - M/2) = 4(M - M/2)
? N - M/2 = 4M/2
? N = 2M + M/2
? N = 5M/2
? N : M = 5 : 2
Correct Answer: 3
Explanation:
Let the number be 3k and 4k.
According to the question,
(3k + 3)/(4k+ 3) = 4/5
? 5(3k + 3 ) = 4(4k + 3)
? 15k + 15 = 16k + 12
? k = 15 - 12 = 3
? Difference between the numbers = (4k - 3k) = k = 3
Correct Answer: 13 : 10
Explanation:
Let 1st number = x and 2nd number = y
According to the question 1/2 of x = 65% of y
? x/y = 130/100 = 13/10
? x : y = 13 : 10
Correct Answer: 264
Explanation:
Let number of ? 1 coins = 8k
Number of 50 paise coins = 9k
Number of 25 paise coins = 11k
According to the question,
8k + 9k/2 + 11k/4 = 366
? 32k + 18k + 11k = 1464
? 61k = 1464
? k = 1464/61 = 24
? Number of 25 paise coins = 11k = 11 x 24 = 264
Correct Answer: 1040
Explanation:
Given that P's share : Q 's share = 1/3 : 1/5 = 5 : 3
Here, a = 5, b = 3, N = 1664
P's share = a/(a + b) x N
? = 5/(5 + 3) x 1664 = (5/8) x 1664 = ? 1040
Correct Answer: 80 - 90
Explanation:
Let the marks of A, B and C are 10k, 12k and 15k, respectively.
Let k = 6
? Maximum marks of C can be = 15 x 6 = 90
So, maximum marks of B can be = 12 x 6 = 72
As the marks are fixed and they cannot exceed the maximum marks.
So, the marks of B cannot be in the range of (80 - 90) ie B cannot score above 80.
Correct Answer: ? 140
Explanation:
let the saving of A and B are 4M , 5M and the share in cost of gift are 3N, 4N respectively
According to the question
for A, 4M - 3N = (2/3) x 4M
? M = 9N/4.............(i)
For B 5M - 4N = 145
? 5 x (9N/4) - 4N = 145 [by Eq. (i)]
? N = 20
? Cost of gift = 3N + 4N = 7 x 20 = ? 140
Correct Answer: 2 : 3 : 5
Explanation:
Let the share of P = x
Then, Q's share = x + 30 and
R's share = (x + 30) + 60 = x + 90
Sum of money with P, Q and R = 300
? x + (x + 30) + (x + 90) = 300
? 3x + 120 = 300
? x = (300 - 120)/3 = 60
? Required ratio = 60 : (60 + 30) : (60 + 90) = 2 : 3 : 5
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