Percentage
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If 20% of A = 30% of B = 1 of C, then A : B : C is 6
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According to question ,
20 % of A = 30 % of B = 1 of C 6 ⇒ 20A = 30B = C 100 100 6 ⇒ A = B = C = k (let) 5 10 6 3
Correct Option: D
According to question ,
20 % of A = 30 % of B = 1 of C 6 ⇒ 20A = 30B = C 100 100 6 ⇒ A = B = C = k (let) 5 10 6 3 ⇒ A = 5k, B = 10k k, C = 6 k 3 ∴ A : B : C = 5k : 10k : 6 k = 15 : 10 : 18 3
- The expenses on rice, fish and oil of a family are in the ratio 12 : 17 : 3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of family on these articles are increased by
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Let the initial expenses on rice, fish and oil be ₹ 12k, ₹ 17k and ₹ 3k respectively.
∴ Total expenditure = ₹ (12k + 17k + 3k) = ₹ 32k
After increase,Expenditure on rice = 120 ×12k = ₹ 14.4k 100 Expenditure on fish = 130 × 17k = ₹ 22.1k 100 Expenditure on oil = 150 × 3k = ₹ 4.5k 100
Total expenditure = ₹ (14.4k + 22.1k + 4.5k) = ₹ 41k
Correct Option: D
Let the initial expenses on rice, fish and oil be ₹ 12k, ₹ 17k and ₹ 3k respectively.
∴ Total expenditure = ₹ (12k + 17k + 3k) = ₹ 32k
After increase,Expenditure on rice = 120 ×12k = ₹ 14.4k 100 Expenditure on fish = 130 × 17k = ₹ 22.1k 100 Expenditure on oil = 150 × 3k = ₹ 4.5k 100
Total expenditure = ₹ (14.4k + 22.1k + 4.5k) = ₹ 41k
Increase = ₹ (41k – 32k) = ₹ 9k∴ Percentage increase = 9k ×100 32k Percentage increase = 225 = 28 1 % 8 8
- The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 30% of the girls are scholarship holders, then the percentage of students, who do not get scholarship, is
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Let the number of boys = 3k and that of girls = 2k
Number of boys who do not hold scholarship = 80% of 3kNumber of boys who do not hold scholarship = 3k × 80 = 12k 100 5 Number of girls who do not hold scholarship = 2k × 70 = 14k 100 10 ∴ Number of students who do not hold scholarship = 12k + 14k 5 10 = 24k + 14k 10
Correct Option: D
Let the number of boys = 3k and that of girls = 2k
Number of boys who do not hold scholarship = 80% of 3kNumber of boys who do not hold scholarship = 3k × 80 = 12k 100 5 Number of girls who do not hold scholarship = 2k × 70 = 14k 100 10 ∴ Number of students who do not hold scholarship = 12k + 14k 5 10 = 24k + 14k 10 Number of students who do not hold scholarship = 38k 10 ∴ Required percentage = 38k 10 × 100 5k Required percentage
=38 × 100 = 76% 10 × 5
- In a class, the number of girls is 20% more than that of the boys. The strength of the class is 66. If 4 more girls are admitted to the class, the ratio of the number of boys to that of the girls is
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Let number of boys be B.
Then, B + 120 B = 66 100 ⇒ B + 6B = 66 5 ⇒ 5B + 6B = 66 5
Correct Option: B
Let number of boys be B.
Then, B + 120 B = 66 100 ⇒ B + 6B = 66 5 ⇒ 5B + 6B = 66 5 ⇒ B = 66 × 5 = 30 11
∴ Number of girls = 66 – 30 = 36
∴ New ratio = 30 : (36 + 4) = 30 : 40 = 3 : 4
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If 30% of A = 0.25 of B = 1 of C,then A : B : C is equal to : 5
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Given that , 30% of A = 25% of B
⇒ 30 A = 25 B
⇒ A : B = 25 : 30 = 5 : 6
Again, 25% of B = 20% of C
⇒ 25 B = 20C
⇒ 5B = 4C
⇒ B : C = 4 : 5Correct Option: D
Given that , 30% of A = 25% of B
⇒ 30 A = 25 B
⇒ A : B = 25 : 30 = 5 : 6
Again, 25% of B = 20% of C
⇒ 25 B = 20C
⇒ 5B = 4C
⇒ B : C = 4 : 5
∴ A : B : C = 5 × 4 : 4 × 6 : 6 × 5 = 20 : 24 : 30 = 10 : 12 : 15
