Comparing Quantities (Finding Percentage) activity - Free Printable

Of course! Let's solve each problem step by step and explain the reasoning.

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Section 1: What percent of...?

The general formula to find what percent one number is of another is:

> (Part / Whole) × 100%

We must ensure both quantities are in the same unit before calculating.

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1. 24 is 6?

This means: What percent of 24 is 6?

→ (6 / 24) × 100 = 0.25 × 100 = 25%

✔ Answer: 25%

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2. 4km is 160m?

First, convert km to m:
4 km = 4000 m

Now, what percent of 4000m is 160m?

→ (160 / 4000) × 100 = 0.04 × 100 = 4%

✔ Answer: 4%

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3. ₹125 is Rs 10?

What percent of ₹125 is ₹10?

→ (10 / 125) × 100 = 0.08 × 100 = 8%

✔ Answer: 8%

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4. 2 days is 8 hrs?

Convert days to hours:
2 days = 2 × 24 = 48 hours

What percent of 48 hours is 8 hours?

→ (8 / 48) × 100 = (1/6) × 100 ≈ 16.67%

✔ Answer: 16.67% (or 16⅔%)

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5. 1 liter is 175ml?

Convert liters to ml:
1 liter = 1000 ml

What percent of 1000 ml is 175 ml?

→ (175 / 1000) × 100 = 0.175 × 100 = 17.5%

✔ Answer: 17.5%

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Section 2: Express the following in decimal.

Actually, the instructions say “Express the following in decimal,” but the problems are word problems asking for whole numbers or percentages — so we’ll solve them as intended.

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6. Rajdhani college has 2400 students, 40% of whom are girls. How many boys are there in the college?

If 40% are girls, then 100% - 40% = 60% are boys.

Number of boys = 60% of 2400 = (60/100) × 2400 = 0.6 × 2400 = 1440

✔ Answer: 1440

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7. Mr. Sidhana saves 28% of his income. If he saves Rs 840 per month, find his monthly income.

Let his income be x.

Then, 28% of x = 840
→ 0.28 × x = 840
→ x = 840 / 0.28 = 3000

✔ Answer: ₹3000

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8. In an examination, 92% of the candidates passed and 46 failed. How many candidates appeared?

If 92% passed, then 100% - 92% = 8% failed.

Let total candidates = x

Then, 8% of x = 46
→ 0.08 × x = 46
→ x = 46 / 0.08 = 575

✔ Answer: 575

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9. Rahim obtained 60 marks out of 75 in Mathematics. Find the percentage of marks obtained by Rahim.

→ (Marks Obtained / Total Marks) × 100
= (60 / 75) × 100 = 0.8 × 100 = 80%

✔ Answer: 80%

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10. Out of an income of Rs 15000, Nazima spends Rs 10200. What percent of her income does she save?

First, find savings:
Savings = Income - Spending = 15000 - 10200 = Rs 4800

Now, percent saved = (Savings / Income) × 100
= (4800 / 15000) × 100 = 0.32 × 100 = 32%

✔ Answer: 32%

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## ✔ Final Answers Summary:

1. 25%
2. 4%
3. 8%
4. 16.67%
5. 17.5%
6. 1440
7. ₹3000
8. 575
9. 80%
10. 32%

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