Question Details

20% of a number is more than 20% of 620 by 210. The number is:

Options

A

1520

B

1720

C

1670

D

1770

Show Answer

Correct Answer :

Option C

1670

Solution :

The correct answer is 1670.

Step-by-Step Explanation:

Let the unknown number be denoted as x.

Step 1: Express the given conditions mathematically.
First, calculate 20% of 620:

20% of 620 = 20100×620=0.20×620=124

Step 2: Set up the equation based on the problem statement.
We are given that 20% of x is more than 20% of 620 by 210.
This can be written as:

20% of x = (20% of 620) + 210

Substitute the calculated value of 20% of 620 into the equation:

20100×x=124+210

0.20×x=334

Step 3: Solve for x.
To find x, divide 334 by 0.20 (or multiply by 5, since 20% is equal to 15):

x=3340.20=334×5=1670

Therefore, the number is 1670.

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