Percentage
- If A’s income is 25% less than B’s income, by how much percent is B’s income more than that of A ?
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Here , A = 25%
We can find the percentage answer with the help of given formula ,Required percentage = A × 100 100 - A
Correct Option: C
Here , A = 25%
We can find the percentage answer with the help of given formula ,Required percentage = A × 100 100 - A Required percentage = 25 × 100 100 - 25 = 100 = 33 1 % 3 3
- Given that 10% of A’s income = 15% of B’s income = 20% of C’s income. If sum of their income is ₹ 7800, then B’s income is:
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Given that , 10% of A = 15% of B = 20% of C
∴ 10A = 15B = 20C⇒ 10A = 15B = 20C 60 60 60 ⇒ A = B = C 6 4 3
Correct Option: C
Given that , 10% of A = 15% of B = 20% of C
∴ 10A = 15B = 20C⇒ 10A = 15B = 20C 60 60 60 ⇒ A = B = C 6 4 3
∴ A : B : C = 6 : 4 : 3
∴ 6k + 4k + 3k = 7800
⇒ 13 k = 7800⇒ k = 7800 = 600 13
∴ B’s income = 4k = 600 × 4 = ₹ 2400
- A worker suffers a 20% cut in his wages. He may regain his original wages by obtaining a rise of
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Here , r = 20%
We can find the required answer with the help of given formula ,Required percentage of increase = r × 100 100 - r Required percentage of increase = 20 × 100 100 - 20
Correct Option: B
Here , r = 20%
We can find the required answer with the help of given formula ,Required percentage of increase = r × 100 100 - r Required percentage of increase = 20 × 100 100 - 20 Required answer = 20 × 100 = 25% 80
- The monthly income of a person was 13,500 and his monthly expenditure was 9,000. Next year his income increased by 14% and his expenditure increased by 7%. The per cent increase in his savings was
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According to question,
Original savings = ₹ (13500 – 9000) = ₹ 4500
New income = 114% of ₹ 13500 = ₹ (114 × 135) = ₹ 15390
New expenditure = 107% of ₹ 9000 = ₹ (107 × 90) = ₹ 9630
New savings = ₹ (15390 – 9630) = ₹ 5760Correct Option: C
According to question,
Original savings = ₹ (13500 – 9000) = ₹ 4500
New income = 114% of ₹ 13500 = ₹ (114 × 135) = ₹ 15390
New expenditure = 107% of ₹ 9000 = ₹ (107 × 90) = ₹ 9630
New savings = ₹ (15390 – 9630) = ₹ 5760∴ Percentage increase in savings = 5760 - 4500 × 100 4500 Percentage increase = 1260 = 28% 45
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A man spends 12 1 % of his salary on items of daily use and 30% of the remainder on 2
house rent. After that he is left with ₹ 2940. How much is his salary ?
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Let man’s salary be P.
∴ His expenditure on items of daily use = 25 % of P 2 His expenditure = 25 × P = ₹ P 200 8 So, remaining amount = P - P = ₹ 7P 8 8 Expenditure on house rent = 30% of ₹ 7P 8 Expenditure on house rent = 30 × 7P 100 8 = ₹ 21P 80 Now, remaining amount = 70P - 21P = ₹ 49P 80 80
According to the question,
Correct Option: A
Let man’s salary be P.
∴ His expenditure on items of daily use = 25 % of P 2 His expenditure = 25 × P = ₹ P 200 8 So, remaining amount = P - P = ₹ 7P 8 8 Expenditure on house rent = 30% of ₹ 7P 8 Expenditure on house rent = 30 × 7P 100 8 = ₹ 21P 80 Now, remaining amount = 70P - 21P = ₹ 49P 80 80
According to the question,∴ 49P = 2940 80 ⇒ P = 2940 × 80 = ₹ 4800 49
Here , p = 25 / 2 % , q = 26.25% and R = ₹ 2940
We can find the required answer with the help of given formula ,His salary = 100 × 2940 100 - 
25 + 26.25 
2 His salary = 100 × 2940 100 - (12.5 + 26.25) His salary = 294000 = ₹ 4800 61.25
