OLYMPIAD MATHS - WORD PROBLEMS - 1

📘 Class 7 Olympiad – Twisted Word Problems

1. A number is increased by 25% and becomes 100. What was the original number?
60
80
75
90

✅ Answer: 80

Let number = x → x + 25% = 100 → 1.25x = 100 → x = 80

2. A train travels 60 km in 1 hour. How far in 45 minutes?
30
40
45
50

✅ Answer: 45

45 min = 3/4 hour → distance = 60 × 3/4 = 45 km

3. A shopkeeper gives 20% discount on ₹500. What is selling price?
400
450
420
380

✅ Answer: 400

20% of 500 = 100 → 500 - 100 = 400

4. If 3 pens cost ₹45, what is cost of 7 pens?
90
100
95
105

✅ Answer: 105

1 pen = 45/3 = 15 → 7 pens = 7×15 = 105

5. A number is halved and then increased by 10 gives 30. Find number.
20
40
50
60

✅ Answer: 40

x/2 +10 = 30 → x/2 =20 → x=40