Percentage
- A’s salary is increased by 10% and then decreased by 10%. Then, change in salary is
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Here , y = 10%
We can find the required answer with the help of given formula ,Change in salary = - y × y % 100
Correct Option: B
Here , y = 10%
We can find the required answer with the help of given formula ,Change in salary = - y × y % 100 Change in salary = - 10 × 10 = -1 % 100
Negative sign shows decrease.
- A saves 20% of his monthly salary. If his monthly expenditure is ₹ 6,000, then his monthly savings is
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If the monthly income of A is ₹ P, then
P × 80 = 6000 100 ⇒ P = 6000 × 100 = ₹ 7500 80
Correct Option: A
If the monthly income of A is ₹ P, then
P × 80 = 6000 100 ⇒ P = 6000 × 100 = ₹ 7500 80
∴ Savings = 7500 – 6000 = ₹ 1500
- A man spends 40% of his monthly salary on food and one-third of the remaining on transport. If he saves ₹ 4,500 per month, which is equal to half the balance after spending on food and transport, his monthly salary is
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Suppose monthly income of the man is Rs. P.
Expenditure on food = 40% of P = ₹ 2P 5 Remaining amount = P – 2P 5 = ₹ 3P 5 Expenditure on transport = 1 × 3P 3 5 = ₹ P 5 Remaining amount = 3P - P 5 5
Correct Option: B
Suppose monthly income of the man is Rs. P.
Expenditure on food = 40% of P = ₹ 2P 5 Remaining amount = P – 2P 5 = ₹ 3P 5 Expenditure on transport = 1 × 3P 3 5 = ₹ P 5 Remaining amount = 3P - P 5 5 = 2P 5 = 1 × 2P = 4500 2 5
∴ P = 4500 × 5 = ₹ 22,500Suppose monthly income of the man is Rs. x.
Expenditure on food= 40% of x = ₹ 2x 5 Remaining amount = x – 2x 5 = ₹ 3x 5
Expenditure on transport= 1 × 3x 3 5 = ₹ x 5
Remaining amount= 3x - x 5 5 = 2x 5 = 1 × 2x = 4500 2 5
∴ x = 4500 × 5 = ₹ 22,500
- Nitin’s salary was reduced by 10% and then the reduced salary was increased by 10%. His new salary in comparison with his original salary is
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Let Nitin’s initial salary be 100
After 10% reduction, New salary = 90% of 100 = ₹ 90
Again after 10% increase ,New salary = 90 × 110 = ₹ 99 100
Correct Option: C
Let Nitin’s initial salary be 100
After 10% reduction, New salary = 90% of 100 = ₹ 90
Again after 10% increase ,New salary = 90 × 110 = ₹ 99 100
∴ Percentage decrease = 1 %
- A man spends 75% of his income. His income increased by 20% and he increased his expenditure by 15%. His savings will then be increased by
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Let man’s income = ₹ 100
Savings = 100 – 75 = ₹ 25
New income = ₹ 120Savings = 120 - 75 × 115 = 120 - 345 100 4 Savings = 480 - 345 = ₹ 135 4 4
Correct Option: C
Let man’s income = ₹ 100
Savings = 100 – 75 = ₹ 25
New income = ₹ 120Savings = 120 - 75 × 115 = 120 - 345 100 4 Savings = 480 - 345 = ₹ 135 4 4 Increase in savings = 135 - 25 = ₹ 35 4 4 ∴ Percentage increase =
35 / 4 × 100 = 35% 25