IMO Practice Test — Percentages
6 Questions • 15 min • Olympiad level
15:00
Question 1 of 6
A number is increased by 20% and then decreased by 20%. Find net change.
4% increase
4% decrease
0% change
2% decrease
Explanation: Let number=100; After +20%=120; After -20%=120×0.8=96; Net change=-4%
Question 2 of 6
A shopkeeper sells two items at ₹1200 each. One at 20% profit, other at 20% loss. Find overall profit/loss.
₹100 profit
₹100 loss
₹50 profit
₹50 loss
Explanation: CP1=1200/1.2=1000, CP2=1200/0.8=1500; Total CP=2500, SP=2400; Loss=₹100
Question 3 of 6
Simple interest on a sum for 3 years at 8% is ₹1200. Find the sum.
₹4000
₹5000
₹6000
₹7500
Explanation: 1200 = (P×8×3)/100 → P = (1200×100)/24 = 5000
Question 4 of 6
After a 10% discount, a TV is sold for ₹18,000. Find marked price.
₹19,800
₹20,000
₹16,200
₹19,000
Explanation: SP = MP × 0.9; MP = 18000/0.9 = ₹20,000
Question 5 of 6
A student spends 25% of his money on books, 30% on food, and 20% on transport. If ₹500 remains, find total money.
₹2000
₹2500
₹3000
₹1800
Explanation: Spent total=75%; Remaining 25%=₹500; Total=500×4=₹2000
Question 6 of 6
The price of an item is increased by 10% and then decreased by 10%. If final price is ₹2475, find original price.
₹2500
₹2400
₹2450
₹2550
Explanation: Let original=x; After increase=1.1x; After decrease=1.1x×0.9=0.99x; 0.99x=2475; x=2500