Data Interpretation • Topic 5 of 5

Mixed & Caselet DI

Caselet DI gives the data as a short paragraph (no chart) and may combine two data sets (a table plus a pie, or two bars to compare). Extract the numbers into your own mini-table first, then it is ordinary arithmetic. Multi-step questions (find a total, then its percentage, then a ratio) reward writing intermediate values down rather than holding them in your head.

✅ Solved examples

1. A class has 120 students: 60% boys. Number of girls?
Boys 72, girls = 120 - 72 = 48.
2. Of 48 girls, 25% play a sport. How many?
0.25 x 48 = 12.
3. Two shops sell 200 and 300 units; what percent of the combined total is shop A?
200/500 x 100 = 40%.
4. A sells 200 at profit 20%, B sells 300 at profit 10%. Whose absolute terms are larger if unit cost is equal at 100? (profit per unit)
A profit/unit 20, total 4000; B profit/unit 10, total 3000; A is larger (4000 vs 3000).

✏️ Practice — try these, take hints as needed

1. 200 students, 45% girls. Number of boys?
55% boys.
0.55 x 200.
—
110
2. 30% of 90?
0.3 x 90.
—
—
27
3. Shops 150 and 350; A is what percent of total?
150/500.
x 100.
—
30%
4. Combined total of 240 and 360, then 25% of it?
Total 600.
0.25 x 600.
—
150
5. 20% of (120 + 80)?
Total 200.
0.2 x 200.
—
40

📝 Topic test — 8 questions

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