type 9 coins & rupees based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on ratio & proportion topic of quantitative aptitude
(a) 150
(b) 180
(c) 120
(d) 60
The correct answers to the above question in:
Answer: (c)
Using Rule 1It does not change the ratio, when we multiply or divide antecedent and consequent of the ratio by a same non–zero number as–e.g. a : b = $a/b = {a×c}/{b×c}$ = ac : bc = a : b
Ratio of the values
= $2 : 3/2 : 4/4$ = 4 : 3 : 2
Value of 50 paise coins
= $3/9 ×$ 180 = Rs.60
Numbers of 50 paise coins = 120.
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Read more coins and rupees based problems Based Quantitative Aptitude Questions and Answers
Question : 1
A box contains 420 coins in rupee, 50 paise and 20 paise coins. The ratio of their rupee values being 13 : 11 : 7. The number of 50 paise coins is
a) 66
b) 132
c) 78
d) 42
Answer »Answer: (b)
Ratio of their values =13:11:7
Ratio of their numbers
= 13 : 22 : 35
13x + 22x + 35x = 420
70x = 420 ⇒ x = 6
Number of 50 paise coins
= 22x = 22 × 6 = 132
Question : 2
Three persons A, B, C whose salaries together amount to 72000 spend 80, 85 and 75 percent of their salaries respectively. If their savings are in the ratio 8 : 9 : 20, then A’s salary is
a) 22,000
b) 18,000
c) 16,000
d) 20,000
Answer »Answer: (c)
If the salaries of A, B and C be Rs.x, Rs.y and Rs.z respectively,
then ${x × 20}/100 : {y × 15}/100 : {z × 25}/100$
$x/5 : {3y}/20 : z/4$ = 8 : 9 : 20
x : y : z = 40 : 60 : 80
= 2 : 3 : 4
A’s salary
= $2/9$ × 72000 = Rs.16000
Question : 3
A box contains 1-rupee, 50-paise and 25-paise coins in the ratio 8 : 5 : 3. If the total amount of money in the box is 112.50, the number of 50-paise coins is
a) 30
b) 42
c) 50
d) 80
Answer »Answer: (c)
Ratio of number of 1 rupee, 50-paise and 25 paise coins
= 8 : 5 : 3
Ratio of their respective values
= $8 : 5/2 : 3/4 = 32 : 10 : 3$
Sum of the ratios
= 32 + 10 + 3 = 45
Value of 50 paise coins
= Rs.$(10/45 × 112.5)$= Rs.25
Number of 50 paise coins
= 25 × 2 = 50
Question : 4
A man has in all 640 in the denominations of one-rupee, five rupee and ten-rupee notes. The number of each type of notes are equal. What is the total number of notes he has ?
a) 100
b) 90
c) 120
d) 150
Answer »Answer: (c)
Let the number of each type of notes be x
x + 5x + 10 x = 640
16 x = 640
x = 40
Total number of notes
= 3 × 40 = 120
Question : 5
A box contains 280 coins of one rupee, 50-paise and 25-paise. The values of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50-paise coins is
a) 80
b) 90
c) 60
d) 70
Answer »Answer: (a)
Ratio of the values of one rupee, 50 paise and 25 paise coins
= 8 : 4 : 3
Ratio of their number
= 8 : 4 × 2 : 3 × 4 = 2 : 2 : 3
Sum of ratios = 2 + 2 + 3 = 7
Number of 50-paise coins
= $2/7$ × 280 = 80
Question : 6
There are 480 coins in half rupees, quarter rupees and 10 paise coins and their values are proportional to 5 : 3 : 1. The number of coins in each case are
a) 150, 180, 150
b) 300, 90, 90
c) 50, 30, 400
d) 100, 200, 180
Answer »Answer: (a)
Ratio of values = 5 : 3 : 1
Ratio of their numbers
= 10 : 12 : 10 = 5 : 6 : 5
Number of 50 paise coins
= $5/16 × 480$ = 150
Number of 25 paise coins
= $6/16 × 480$ = 180
Number of 10 paise coins
= $5/16 × 480 = 150$
GET ratio & proportion PRACTICE TEST EXERCISES
type 1 basic concepts of ratio & proportion
type 2 age based ratio & proportion problems
type 3 addition subtraction product on ratio & proportion
type 4 income & expenditure based ratio & proportion problems
type 5 shares & partnership based ratio & proportion problems
type 6 fractions based ratio & proportion problems
type 7 finding sum difference product based ratio & proportion problems
type 8 alligation & mixtures based ratio & proportion problems
type 9 coins & rupees based ratio & proportion problems
ratio & proportion Shortcuts and Techniques with Examples
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