PERCENT PROPORTION

Solved Problems 

Problem 1 :

2 is what percent of 10?

Solution :

²⁄₁₀ = ˣ⁄₁₀₀

⅕ = ˣ⁄₁₀₀

Multiply both sides by 100.

100(⅕) = x

20 = x

Therefore, 2 is 20% of 10.

Problem 2 :

$9 is 15% of what amount?

Solution :

⁹⁄w = ¹⁵⁄₁₀₀

Take reciprocal on both sides.

ʷ⁄₉ = ¹⁰⁰⁄₁₅

ʷ⁄₉ = ²⁰⁄₃

Multiply both sides by 9.

w = 60

Therefore, $9 is 15% of $60.

Problem 3 :

What number is 20% of 420?

Solution :

ᵖ⁄₄₂₀ = ²⁰⁄₁₀₀

ᵖ⁄₄₂₀ = ¹⁄₅

Multiply both sides by 420.

p = (¹⁄₅)420

p = 84

Therefore, 84 is 20% of 420.

Problem 4 :

A rain barrel can hold 50 gallons of water. If there are 32 gallons inside of it, what percent of the barrel is full?

Solution :

³²⁄₅₀ = ˣ⁄₁₀₀

Multiply both sides by 100 and simplify.

64 = x

Therefore, 64% of the barrel is full.

Problem 5 :

A worker has installed 65% of the tiles for a tile floor. If they installed 130 tiles so far, how many tiles are there in total?

Solution :

¹³⁰⁄w = ⁶⁵⁄₁₀₀

Take reciprocal on both sides.

ʷ⁄₁₃₀ = ¹⁰⁰⁄₆₅

Multiply both sides by 130 and simplify.

w = 200

Therefore, 200 tiles are three in total.

Problem 6 :

One week, seventy-two percent of the animals that came to a veterinary hospital were dogs. If there were 250 animals total, how many were dogs?

Solution :

ᵖ⁄₂₅₀ = ⁷²⁄₁₀₀

ᵖ⁄₂₅₀ = 0.72

Multiply both sides by 250.

p = 180

Therefore, 180 were dogs.

Problem 7 :

What percent of your friends like playing dodge ball if 5 out of 8 of them like playing dodge ball?

Solution :

⅝ = ˣ⁄₁₀₀

Multiply both sides by 100 and simplify.

62.5 = x

Therefore, 62.5% of my friends like playing dodge ball.

Problem 8 :

John has walked 15% of the way home from school. If he has walked 210 meters so far, how far does he walk home from school?

Solution :

²¹⁰⁄w = ¹⁵⁄₁₀₀

Take reciprocal on both sides.

ʷ⁄₂₁₀ = ¹⁰⁰⁄₁₅

ʷ⁄₂₁₀ = ²⁰⁄₃

Multiply both sides by 210 and simplify.

w = 1400

Therefore, John walks home 1400 meters from school.

Problem 9 :

Each day, a bakery makes 50 loaves of wheat bread. If that amount is 20% of all the bread that they bake, how many loaves of all the bread do they bake each day?

Solution :

⁵⁰⁄w = ²⁰⁄₁₀₀

Take reciprocal on both sides.

ʷ⁄₅₀ = ¹⁰⁰⁄₂₀

ʷ⁄₅₀ = 5

Multiply both sides by 50.

w = 250

Therefore, the bakery makes 250 loaves of all the bread each day.

Problem 10 :

There are 1080 students that attend a local high school. 25% of the students are enrolled in advanced placement science. How many students are enrolled in the advanced placement science?

Solution :

ᵖ⁄₁₀₈₀ = ²⁵⁄₁₀₀

ᵖ⁄₁₀₈₀ = 0.25

Multiply both sides by 1080.

p = 270

Therefore, 270 students are enrolled in the advanced placement science.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.