Reverse Percent Decrease Quiz: Reverse Percent Decrease Original Amount

  • 6th Grade
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| Questions: 20 | Updated: Dec 17, 2025
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1) After a 30% decrease, a jacket costs $84. What was the original price?

Explanation

A 30% decrease means final = original × 0.70. So original = 84 ÷ 0.70 = 120. Check: 120 × 0.70 = 84.

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About This Quiz
Reverse Percent Decrease Quiz: Reverse Percent Decrease Original Amount - Quiz

How can you find an original value after a percent decrease? In this quiz, you’ll reverse percentage changes to recover starting amounts, working through situations where a final value is known but the initial one is hidden. You’ll practice forming equations, reasoning through percent relationships, and interpreting real-world scenarios like... see morediscounts or depreciation. Each question helps you understand how to “undo” percent decreases, strengthening your ability to navigate backward through proportional relationships.
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2) If the final price F comes from a 20% decrease, then the original price is F ÷ 0.80.

Explanation

A 20% decrease multiplies by 0.80. To reverse, divide by 0.80: original = F / 0.80.

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3) A pair of shoes costs $56 after a 30% decrease. The original price was ____.

Explanation

Final = original × 0.70. So original = 56 ÷ 0.70 = $80. Check: $80 × 0.70 = $56.

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4) A calculator is $45 after a 10% decrease. Original price?

Explanation

10% decrease multiplies by 0.90. Original = 45 ÷ 0.90 = 50. Verify: 50 × 0.90 = 45.

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5) Final price is F after a 25% decrease. Which formulas correctly recover the original price? Select all that apply.

Explanation

A 25% decrease multiplies by 0.75. Reverse by dividing by 0.75. Dividing by 3/4 is the same as multiplying by 4/3. Multiplying by 0.75 or 1.25 is incorrect for reversing a decrease.

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6) A laptop is $340 after a 15% decrease. What was the original price?

Explanation

15% decrease ⇒ factor 0.85. Original = 340 ÷ 0.85 = 400. Check: 400 × 0.85 = 340.

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7) If a quantity decreased by d%, the original equals final × (1 − d/100).

Explanation

Final = original × (1 − d/100). To recover original, divide: original = final ÷ (1 − d/100), not multiply.

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8) A bike sells for $270 after a 40% decrease. The original price was ____.

Explanation

40% decrease ⇒ factor 0.60. Original = 270 ÷ 0.60 = 450.

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9) A membership costs $212.50 after a 15% decrease. Original cost?

Explanation

15% decrease ⇒ factor 0.85. Original = 212.50 ÷ 0.85 = 250. Verify: 250 × 0.85 = 212.50.

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10) Final price F is after a 20% decrease. Which methods correctly find the original? Select all that apply.

Explanation

A 20% decrease multiplies by 0.80. Reversing requires dividing by 0.80, which is the same as dividing by (1 − 0.20). Multiplying by 1.20, dividing by 1.20, or multiplying by 0.80 is incorrect here.

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11) After a 35% discount, a phone costs $325. What was the original price?

Explanation

35% decrease ⇒ factor 0.65. Original = 325 ÷ 0.65 = 500. Check: 500 × 0.65 = 325.

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12) A price of $48 is the result of a 20% decrease from $60, and reversing gives 48 ÷ 0.80 = $60.

Explanation

Forward: 60 × 0.80 = 48. Reverse: 48 ÷ 0.80 = 60. Both directions are consistent.

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13) An item costs $99 after a 10% decrease. The original price was ____.

Explanation

10% decrease ⇒ factor 0.90. Original = 99 ÷ 0.90 = 110.

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14) A tablet is $81 after a 10% decrease. Original price?

Explanation

10% decrease ⇒ factor 0.90. Original = 81 ÷ 0.90 = 90.

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15) Final amount F is after a 33 1/3% decrease. Which expressions equal the original? Select all that apply.

Explanation

A 33 1/3% decrease ⇒ factor 2/3. Reverse by dividing by 2/3, which equals multiplying by 3/2 = 1.5. Dividing by 0.666… is equivalent. Multiplying by 0.666… or dividing by 1.333… does not reverse the decrease.

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16) A book costs $72 after a 20% decrease. What was the original price?

Explanation

20% decrease ⇒ factor 0.80. Original = 72 ÷ 0.80 = 90.

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17) If the final is $240 after a 25% decrease, then the original is less than $240.

Explanation

Compute the original first: original = 240 ÷ 0.75 = $320. Since $320 > $240, the statement “original is less than $240” is false.

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18) A sweater is $63 after a 30% decrease. The original price was ____.

Explanation

30% decrease ⇒ factor 0.70. Original = 63 ÷ 0.70 = 90.

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19) A monitor costs $211.20 after a 12% decrease. Original price?

Explanation

12% decrease ⇒ factor 0.88. Original = 211.20 ÷ 0.88 = 240. Verify: 240 × 0.88 = 211.20.

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20) A shirt costs $90 after a 10% decrease. Which originals are correct? Select all that apply.

Explanation

10% decrease ⇒ factor 0.90. Original must be 90 ÷ 0.90 = 100. Only $100 works; the others do not reverse to $90 under a 10% decrease.

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After a 30% decrease, a jacket costs $84. What was the original price?
If the final price F comes from a 20% decrease, then the original...
A pair of shoes costs $56 after a 30% decrease. The original price was...
A calculator is $45 after a 10% decrease. Original price?
Final price is F after a 25% decrease. Which formulas correctly...
A laptop is $340 after a 15% decrease. What was the original price?
If a quantity decreased by d%, the original equals final × (1 −...
A bike sells for $270 after a 40% decrease. The original price was...
A membership costs $212.50 after a 15% decrease. Original cost?
Final price F is after a 20% decrease. Which methods correctly find...
After a 35% discount, a phone costs $325. What was the original price?
A price of $48 is the result of a 20% decrease from $60, and reversing...
An item costs $99 after a 10% decrease. The original price was ____.
A tablet is $81 after a 10% decrease. Original price?
Final amount F is after a 33 1/3% decrease. Which expressions equal...
A book costs $72 after a 20% decrease. What was the original price?
If the final is $240 after a 25% decrease, then the original is less...
A sweater is $63 after a 30% decrease. The original price was ____.
A monitor costs $211.20 after a 12% decrease. Original price?
A shirt costs $90 after a 10% decrease. Which originals are correct?...
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