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Find the value of x if, 20% of 75 = 225 - x% of 420.
Question

Find the value of x if, 20% of 75 = 225 - x% of 420.

A.

50

B.

3

C.

1535

D.

20

Correct option is A

Given:

20% of 75 = 225 - x% of 420

Solution: 

Now,

20100×75=(225x100×420)\frac{20}{100} \times 75 = \left(225 - \frac{x}{100} \times 420\right)​​

15=225x100×42015 = 225 - \frac{x}{100} \times 420​​

x100×420=22515 \frac{x}{100} \times 420 = 225 - 15​​

420x100=210\frac{420x}{100} = 210​​

420x = 21000

x = 21000420 \frac{21000}{420}​ = 50

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