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Number 350 is increased by 20% and then decreased by 25%. Find the new number.
Question

Number 350 is increased by 20% and then decreased by 25%. Find the new number.

A.

320

B.

3244

C.

340

D.

315

Correct option is D

Given:
Number = 350
Increase = 20%
Decrease = 25%
Formula Used:
Percentage increase/decrease =(Increased or decreased valueOriginal value)×100\left(\frac{\text{Increased or decreased value}}{\text{Original value}}\right) \times 100​​
Solution:
First, Increase the number by 20%, then New Number formed = 350+350×20100=420350 + 350 \times \frac{20}{100} = 420​​
Then, decrease the new number by 25%, then Again a New Number formed= 420420×25100=315420 - 420 \times \frac{25}{100} = 315
Therefore, the new number is 315.
Alternate Method:

Final Number = 350×120100×75100=315350 \times \frac{120}{100} \times \frac{75}{100} = 315​​

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