Ratio, Proportion & Variation - SSC
What is the difference in the mean proportional between 1.8 and 3.2 and the third proportional to 5 and 3?
- A.
0.7
- B.
0.4
- C.
0.5
- D.
0.6
Answer: Option D
Explanation :
Workspace:
Hridaya opened her piggy bank and found coins of denomination ₹1, ₹2, ₹5 and ₹10 in the ratio 10 : 5 : 2 : 1. If there are 72 coins in all, then how much money (in ₹) was there in the piggy bank in the form of coins?
- A.
100
- B.
72
- C.
160
- D.
90
Answer: Option C
Explanation :
Workspace:
What is the ratio of the average of first eight prime numbers to the average of first ten even natural numbers?
- A.
7 : 8
- B.
1 : 7
- C.
7 : 80
- D.
8 : 70
Answer: Option A
Explanation :
Workspace:
A certain sum is divided among A, B, C and D such that the ratio of the shares is A : B : C : D = 4 : 12 : 30 : 45. If the difference between the shares of A and D is ₹5,535, then the total sum (in ₹) is:
- A.
12785
- B.
13550
- C.
12285
- D.
11000
Answer: Option C
Explanation :
Ratio of shares of A, B, C and D is 4 : 12 : 30 : 45 respectively.
Let the shares of A, B, C and D are 4p, 12p, 30p and 45p respectively.
The difference between the shares of A and D is ₹5,535.
45p - 4p = 5535
41p = 5535
p = 135
Total sum = 4p + 12p + 30p + 45p
= 91p
= 91 x 135
= ₹12285
Hence, the correct answer is Option C
Workspace:
The income of three playback singers Aswath, Sunita and Ramdin are in the ratio of 12 : 9 : 7 and their expenditures are in the
ratio 15 : 9 : 8. If Aswath saves 25% of his income, what is the ratio of the savings of Aswath, Sunita and Ramdin?
- A.
23 : 18 : 11
- B.
25 : 16 : 13
- C.
15 : 18 : 11
- D.
5 : 8 : 7
Answer: Option C
Explanation :
Workspace:
When x is subtracted from each of the numbers 54, 49, 22 and 21, the numbers so obtained are in proportion. The ratio of (8x - 25) to (7x - 26) is:
- A.
5 : 4
- B.
27 : 26
- C.
29 : 24
- D.
15 : 13
Answer: Option C
Explanation :
According to the problem,
(54 − x) (21 − x) = (49 − x) (22 − x)
1134 − 75x + x2 = 1078 − 71x + x2
4x = 56
x = 14
(8x − 25) : (7x − 26) = 8(14) − 25 : 7(14) − 26
= 87 : 72
= 29 : 24
Hence, the correct answer is Option C
Workspace:
Four friends, Priya, Kavya, Gaurvi and Shalini, have different amounts of money with them. If Priya takes ₹88 from Kavya, then she will have an amount equal to what Gaurvi has. Shalini and Kavya together have a total of ₹550. If Gaurvi takes ₹25 from Shalini, she will have an amount equal to what Kavya has. If the total amount with Shalini, Kavya and Gaurvi is ₹840, how much money does Priya have?
- A.
₹224
- B.
₹315
- C.
₹280
- D.
₹202
Answer: Option D
Explanation :
Workspace:
Two numbers are in the ratio 2 : 3. If 5 is subtracted from the first number and six is added to the second number, then the ratio becomes 5 : 12. What would the ratio become when eight is added to each number?
- A.
19 : 14
- B.
14 : 19
- C.
11 : 14
- D.
14 : 11
Answer: Option B
Explanation :
Two numbers are in the ratio 2 : 3.
Let the two numbers are 2p and 3p respectively.
According to the problem,
=
24p - 60 = 15p + 30
9p = 90
p = 10
Required ratio = = = =
Hence, the correct answer is Option B
Workspace:
Keshav, Surjeet and Thomasstarted a business with investments in the ratio 2 : 3 : 4. The ratio of their period of investments is 5 : 6 : 9. Twenty percentof the profit was spent on rent and maintenanceof the office. Remaining profit was distributed among themselves.If the difference in the shares of profit of Keshav and Surjeet is ₹7264, then how muchis the total profit (in ₹)?
- A.
72640
- B.
46490
- C.
51060
- D.
58112
Answer: Option A
Explanation :
Workspace:
A sports-goods shop has tennis balls of 3 colors - red, green and white. The number of white balls is 60% more than number of red balls and the number of green balls is 12.5% less than number of white balls. If total number of balls is 120, then how many green balls are there?
- A.
48
- B.
40
- C.
42
- D.
30
Answer: Option C
Explanation :
Workspace:
Fourth proportion to 12, 18, and 6 is same as the third proportion to k and 6. What is the value of k?
- A.
3
- B.
4
- C.
13.5
- D.
3
Answer: Option B
Explanation :
Workspace: