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

Questions : A bag contains three types of coins-rupee-coins. 50p-coins and 25 p-coins totalling 175 coins. If the total value of the coins of each kind be the same, the total amount in the bag is

(a) 300

(b) 126

(c) 175

(d) 75

The correct answers to the above question in:

Answer: (d)

Let the number of coins of 1- rupee coin be x.

Total value of the coins of each kind is same, then the number of 50 paisa coins

= 2x and the number of 25 paisa coins = 4x.

According to the question.

x + 2x + 4x = 175

7x = 175

$x = 175/7 = 25$

Total amount in bag

= 25 + 25 + 25 = Rs.75

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Read more coins and rupees based problems Based Quantitative Aptitude Questions and Answers

Question : 1

The salaries of A, B and C are in the ratio 1 : 3 : 4. If the salaries are increased by 5%, 10% and 15% respectively, then the increased salaries will be in the ratio

a) 21 : 66 : 92

b) 19 : 66 : 92

c) 21 : 66 : 95

d) 20 : 66 : 95

Answer: (a)

Let the initial salaries of A, B and C be Rs.x, Rs.3x and Rs.4x respectively.

Respective ratio after corresponding increase

= ${x × 105}/100 : {3x × 110}/100 : {4x × 115}/100$

= 105 : 330 : 460

= 21 : 66 : 92

Question : 2

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: (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

= $5/16 × 480 = 150$

Question : 3

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: (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 : 4

A box has 210 coins of denominations one-rupee and fifty paise only. The ratio of their respective values is 13 : 11. The number of one-rupee coins is

a) 77

b) 78

c) 66

d) 65

Answer: (b)

Respective ratio of the number of coins

= 13 : 11 × 2 = 13 : 22

Number of 1 rupee coins

= $13/{13 + 22} × 210$

= $13/35 × 210 = 78$

Question : 5

If 378 coins consist of rupees, 50 paise and 25 paise coins, whose values are in the ratio of 13 : 11 : 7, the number of 50 paise coins will be :

a) 136

b) 133

c) 128

d) 132

Answer: (d)

The ratio of values of rupee, 50 paise and 25 paise coins

= 13 : 11 : 7

Ratio of their numbers

= 13 × 1 : 11 × 2 : 7 × 4

= 13 : 22 : 28

Sum of the ratios

= 13 + 22 + 28 = 63

Required number of 50 paise coins

= $22/63 × 378$ = 132

Question : 6

There are 225 consisting of one rupee, 50 paise and 25 paise coins. The ratio of their numbers in that order is 8 : 5 : 3. The number of one-rupee coins is :

a) 160

b) 172

c) 112

d) 80

Answer: (a)

Ratio of the number of coins

= 8 : 5 : 3

Ratio of their values

= $8 : 5/2 : 3/4$ = 32 : 10 : 3

Sum of the ratios

= 32 + 10 + 3 = 45

Value of one rupee coins

= $32/45 × 225$ = Rs.160

Number of one rupee coins = 160

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