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Per hundred: find the part, the percent or the whole: back to the lesson

Practice · check as you go

Lesson 1 practice: Part, percent and whole

Five questions on lesson 1, from easy to exam level. Every wrong option names the mistake it comes from.

Questions5

Marks5

TimeNo time limit

Per wrong answerNone

Pick an option and press “Check”: the right answer and why show at once. Your score comes at the end, and the clock only counts the time you take.

Right answer +1. A wrong answer costs nothing.
Questions come in Hindi and English. Switch any question with “Language”; questions in English only cannot switch.
Pass mark: 3.

Untimed. +1 for each right answer, no negative marks. After each answer you see why it is right or wrong.

Question language

Back to the lesson

Sample questions with solutions

A few questions like the ones in this test, with the right answer and why.

Question 1
A monthly railway pass costs ₹1,840. From next month it will cost 25% more. What will it cost?
- ₹460
- ₹2,300Right answer
- ₹1,380
- ₹230
Explanation
Up 25% means × 1.25: 1,840 × 1.25 = ₹2,300.
Check: 25% of 1,840 = 460, and 1,840 + 460 = 2,300.
Question 2
A small shop's daily sales rose from ₹5,000 to ₹8,000. What is the percentage increase?
- 60% increaseRight answer
- 37.5% increase
- 160% increase
- 60% decrease
Explanation
The rise is 8,000 − 5,000 = 3,000, measured on the old sales: 3,000 ÷ 5,000 × 100 = 60%.
Check: 5,000 × 1.6 = 8,000.
Question 3
After a 12% discount, a room cooler costs ₹7,920. What was its marked price?
- ₹8,870.40
- ₹6,969.60
- ₹9,000Right answer
- ₹1,080
Explanation
After 12% off you pay 88%, so 88% of the marked price = ₹7,920. 1% = 7,920 ÷ 88 = 90, and 100% = 90 × 100 = 9,000.
Check: 12% of 9,000 = 1,080, and 9,000 − 1,080 = 7,920.
Question 4
A town's population grew by 8% in one year and is now 27,000. What was the population a year ago?
- 24,840
- 25,000Right answer
- 29,160
- 2,000
Explanation
Now = a year ago × 1.08, so a year ago = 27,000 ÷ 1.08 = 25,000.
Check: 8% of 25,000 = 2,000, and 25,000 + 2,000 = 27,000.
Question 5
A batter scored 60 runs, which was 40% of the team's total. What was the team's total?
- 24
- 84
- 150Right answer
- 2,400
Explanation
40% is 60 runs, so 1% = 60 ÷ 40 = 1.5 runs, and 100% = 1.5 × 100 = 150 runs.
Check: 40% of 150 = 60.