Ratio, Proportion
- 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
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If the salaries of A, B and C be ₹ x, ₹ y and ₹ z respectively, then
x × 20 : y × 15 : z × 25 100 100 100 ⇒ x : 3y : z = 8 : 9 : 20 5 20 4
⇒ x : y : z = 40 : 60 : 80
= 2 : 3 : 4∴ A’s salary = 2 × 72000 = ₹ 16000 9 Correct Option: B
If the salaries of A, B and C be ₹ x, ₹ y and ₹ z respectively, then
x × 20 : y × 15 : z × 25 100 100 100 ⇒ x : 3y : z = 8 : 9 : 20 5 20 4
⇒ x : y : z = 40 : 60 : 80
= 2 : 3 : 4∴ A’s salary = 2 × 72000 = ₹ 16000 9
- 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
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Let the initial salaries of A, B and C be ₹ x, ₹ 3x and ₹ 4x respectively.
Respective ratio after corresponding increase= x × 105 : 3x × 110 : 4x × 115 100 100 100
= 105 : 330 : 460
= 21 : 66 : 92Correct Option: C
Let the initial salaries of A, B and C be ₹ x, ₹ 3x and ₹ 4x respectively.
Respective ratio after corresponding increase= x × 105 : 3x × 110 : 4x × 115 100 100 100
= 105 : 330 : 460
= 21 : 66 : 92
- A box contains ₹ 56 in the form of coins of one rupee, 50 paise and 25 paise. The number of 50
paise coins is double the number of 25 paise coins and four times the number of one rupee coins. How many 50 paise coins are there in the box?
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Number of 1-rupee coins = x
Number of 50 paise coins = 4x
Number of 25 paise coins = 2x
∴ Ratio of their values= x : 4x : 2x = 2 : 4 : 1 2 4 ∴ Value of 50-paise coins = 4 × 56 = ₹ 32 7
∴ Their number = 32 × 2 = 64
Second Method :(x)(1)+(4x) 
1 
+ (2x) 1 = 56 2 4 x + 2x + 1 x = 56 2 ⇒ x = 56 × 2 = 16 7
⇒ No. of 50p coins = 4 × 16 = 64.Correct Option: B
Number of 1-rupee coins = x
Number of 50 paise coins = 4x
Number of 25 paise coins = 2x
∴ Ratio of their values= x : 4x : 2x = 2 : 4 : 1 2 4 ∴ Value of 50-paise coins = 4 × 56 = ₹ 32 7
∴ Their number = 32 × 2 = 64
Second Method :(x)(1)+(4x) 1 + (2x) 1 = 56 2 4 x + 2x + 1 x = 56 2 ⇒ x = 56 × 2 = 16 7
⇒ No. of 50p coins = 4 × 16 = 64.
- 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
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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 = 132Correct Option: D
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
- 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
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Ratio of values = 5 : 3 : 1
Ratio of their numbers = 10 : 12 : 10 = 5 : 6 : 5∴ Number of 50 paise coins = 5 × 480 = 150 16 Number of 25 paise coins = 6 × 480 = 180 16 Number of 10 paise coins = 5 × 480 = 150 16 Correct Option: C
Ratio of values = 5 : 3 : 1
Ratio of their numbers = 10 : 12 : 10 = 5 : 6 : 5∴ Number of 50 paise coins = 5 × 480 = 150 16 Number of 25 paise coins = 6 × 480 = 180 16 Number of 10 paise coins = 5 × 480 = 150 16
