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If a number is decreased by 37.5% then it will become 1050. Find the original number.
1. 1600
2. 1650
3. 1450
4. 1680

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Correct Answer - Option 4 : 1680

Given:

A number is decreased by 37.5%

Calculation:

37.5% = 37.5 / 100 = 3/8

We take original number = 8x, thus if decreased by 37.5%, number becomes 8x - 3x = 5x

Also, given new number = 1050

⇒ 5x = 1050

⇒ x = 210

Also, New number : original number = 5x : 8x

Thus, original number = 8x = 8 × 210 = 1680

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