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15 Multi-step word problems Questions and Answers

15 solved Multi-step word problems questions with step-by-step explanations. Includes formulas, shortcuts, and tips for placement tests and competitive exams.

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Q1 Easy

An item marked Rs. 4600 gets 10% discount, then 10% GST is added. Find final price.

  • A. 4474
  • B. 4514
  • C. 4594
  • D. 4554 ✓
Explanation: After discount = 4140. Final = 4140 x (100+10)/100 = 4554.
Q2 Easy

Pipe A fills a tank in 9 h and Pipe B in 18 h. If both are opened together, tank fills in?

  • A. 5
  • B. 6 ✓
  • C. 4
  • D. 7
Explanation: Combined rate = 1/9+1/18. Time = 162/27 = 6 h.
Q3 Easy

An item marked Rs. 2100 gets 20% discount, then 10% GST is added. Find final price.

  • A. 1848 ✓
  • B. 1888
  • C. 1808
  • D. 1768
Explanation: After discount = 1680. Final = 1680 x (100+10)/100 = 1848.
Q4 Easy

A person travels 90 km at 30 km/h and then 60 km at 30 km/h. Find overall average speed.

  • A. 34
  • B. 30 ✓
  • C. 26
  • D. 22
Explanation: Total distance = 150. Total time = 3+2 = 5. Avg speed = 30 km/h.
Q5 Easy

An item marked Rs. 2500 gets 10% discount, then 20% GST is added. Find final price.

  • A. 2700 ✓
  • B. 2660
  • C. 2620
  • D. 2740
Explanation: After discount = 2250. Final = 2250 x (100+20)/100 = 2700.
Q6 Easy

A person travels 120 km at 30 km/h and then 90 km at 30 km/h. Find overall average speed.

  • A. 34
  • B. 22
  • C. 26
  • D. 30 ✓
Explanation: Total distance = 210. Total time = 4+3 = 7. Avg speed = 30 km/h.
Q7 Medium

Pipe A fills a tank in 8 h and Pipe B in 24 h. If both are opened together, tank fills in?

  • A. 6 ✓
  • B. 7
  • C. 4
  • D. 5
Explanation: Combined rate = 1/8+1/24. Time = 192/32 = 6 h.
Q8 Medium

An item marked Rs. 1900 gets 20% discount, then 10% GST is added. Find final price.

  • A. 1632
  • B. 1592
  • C. 1672 ✓
  • D. 1712
Explanation: After discount = 1520. Final = 1520 x (100+10)/100 = 1672.
Q9 Medium

Pipe A fills a tank in 12 h and Pipe B in 24 h. If both are opened together, tank fills in?

  • A. 8 ✓
  • B. 6
  • C. 9
  • D. 7
Explanation: Combined rate = 1/12+1/24. Time = 288/36 = 8 h.
Q10 Medium

A person travels 90 km at 30 km/h and then 120 km at 30 km/h. Find overall average speed.

  • A. 34
  • B. 26
  • C. 30 ✓
  • D. 22
Explanation: Total distance = 210. Total time = 3+4 = 7. Avg speed = 30 km/h.
Q11 Medium

Pipe A fills a tank in 15 h and Pipe B in 30 h. If both are opened together, tank fills in?

  • A. 8
  • B. 11
  • C. 9
  • D. 10 ✓
Explanation: Combined rate = 1/15+1/30. Time = 450/45 = 10 h.
Q12 Hard

A person travels 160 km at 40 km/h and then 80 km at 40 km/h. Find overall average speed.

  • A. 32
  • B. 44
  • C. 40 ✓
  • D. 36
Explanation: Total distance = 240. Total time = 4+2 = 6. Avg speed = 40 km/h.
Q13 Hard

An item marked Rs. 2300 gets 20% discount, then 10% GST is added. Find final price.

  • A. 2024 ✓
  • B. 2064
  • C. 1944
  • D. 1984
Explanation: After discount = 1840. Final = 1840 x (100+10)/100 = 2024.
Q14 Hard

A person travels 150 km at 50 km/h and then 150 km at 50 km/h. Find overall average speed.

  • A. 42
  • B. 46
  • C. 50 ✓
  • D. 54
Explanation: Total distance = 300. Total time = 3+3 = 6. Avg speed = 50 km/h.
Q15 Hard

Pipe A fills a tank in 10 h and Pipe B in 15 h. If both are opened together, tank fills in?

  • A. 5
  • B. 6 ✓
  • C. 4
  • D. 7
Explanation: Combined rate = 1/10+1/15. Time = 150/25 = 6 h.

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