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Course / Category - Foundation program for Railways

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Railways & Metro Services

Foundation program for Railways

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Railways & Metro Services

Foundation program for Railways

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Current Affair, Maths, English, Verbal Reasoning, Non Verbal Reasoning, General Awareness, Critical Reasoning, Verbal Ability, Vedic Maths, General Knowledge

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Maths / Comparing Quantities / Percentage Change

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Percentage Change

Percentage Change: is calculated by dividing the change with original and multiplying with 100

$small small Percentage;Change = frac{ Change}{Original} X 100$

Here are two ways to calculate a percentage change, use the one you prefer:

Method 1:

Step 1: Calculate the change (subtract old value from the new value)

Step 2: Divide that change by the old value (you will get a decimal number)

Step 3: Convert that to a percentage (by multiplying by 100 and adding a "%" sign)

Note: when the new value is greater then the old value, it is a percentage increase, otherwise it is a decrease.

Method 2:

Step 1: Divide the New Value by the Old Value (you will get a decimal number)

Step 2: Convert that to a percentage (by multiplying by 100 and adding a "%" sign)

Step 3: Subtract 100% from that

Note: when the result is positive it is a percentage increase, if negative, just remove the minus sign and call it a decrease.

ILLUSTRATION: A pair of socks went from Rs 5 to Rs 6, what is the percentage change?

Answer (Method 1):

Step 1: Amount has changed from Rs 5 to Rs 6. There is an increase of Re 1

Step 2: Divide by the old value: 1/5 = 0.2

Step 3: Convert 0.2 to percentage: 0.2×100 = 20% rise.

Answer (Method 2):

Step 1: Divide new value by old value: 6/5 = 1.2

Step 2: Convert to percentage: 1.2×100 = 120% (i.e. Rs 6 is 120% of Rs 5)

Step 3: Subtract 100%: 120% - 100% = 20%, and that means a 20% rise.

ILLUSTRATION: Population in a country in the year 2010 was 99000 and in 2009 it was 90000. Find the percentage change.

Sol : Population in 2009 = 90000.

Population in 2010 = 99000.

Change = 99000 - 90000 = 9000

$small small Percentage;Change = frac{ Change}{Original} X 100$

$small Percentage;Change = frac{ 9000}{90000} X 100 = 10%$

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Available Online Courses for selected Class / Category

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Percentage Change

₹8800 ₹5000 +
Taxes