A sum becomes Rs. 2420 in 2 years at 10% p.a. simple interest. What was the original sum?
A Rs. 2000 B Rs. 2100 C Rs. 2200 D Rs. 2500
A = P + SI = P + (P × 10 × 2)/100 = P × 1.2. 2420 = P × 1.2. P = 2000
A retailer marks goods 50% above cost price. He gives 20% discount on marked price. What is net profit percentage?
A 20% B 25% C 30% D 35%
Let CP = 100. MP = 150. SP = 150 × 0.8 = 120. Profit% = 20%
A and B can do a work in 12 days. B and C can do it in 15 days. A and C can do it in 20 days. In how many days can all three working together complete the work?
A 8 days B 9 days C 10 days D 12 days
1/A + 1/B = 12 1 15 1 20 1 12 1 15 1 20 1 60 12 10 1
A number is increased by 30%, then decreased by 20%. What is the net percentage change?
A 4% increase B 10% increase C 4% decrease D 10% decrease
Let number = 100. After 30% increase: 130. After 20% decrease: 130 × 0.8 = 104. Net change = 4% increase.
A shopkeeper sells an item at Rs. 480 with 20% profit. What is the cost price?
A Rs. 350 B Rs. 400 C Rs. 360 D Rs. 420
SP = CP × (1 + profit%). 480 = CP × 1.2. CP = 1 480
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A can complete a work in 15 days, B in 20 days. How many days will they take working together?
A 6 days B 8 days C 8.57 days D 7.5 days
A's work rate = 15 1 20 1 15 1 20 1 60 7 7 60
Pipe A fills a tank in 12 hours, Pipe B empties it in 18 hours. If both open together, how long to fill?
A 30 hours B 36 hours C 24 hours D 40 hours
Net rate = 12 1 18 1 36 3 36 2 36 1
Two trains 120m and 180m long run towards each other at 40 km/h and 50 km/h. Time to cross?
A 10.8 seconds B 14.4 seconds C 12 seconds D 15.6 seconds
Relative speed = 40 + 50 = 90 km/h = 25 m/s. Total distance = 120 + 180 = 300m. Time = 25 300 25 300
A boat's speed in still water is 15 km/h, stream speed 3 km/h. What's downstream speed?
A 12 km/h B 18 km/h C 15 km/h D 5 km/h
Downstream speed = boat speed + stream speed = 15 + 3 = 18 km/h.
Simple Interest on Rs. 1000 for 2 years at 8% p.a. is?
A Rs. 160 B Rs. 166.40 C Rs. 180 D Rs. 200
SI = (P × R × T)/100 = (1000 × 8 × 2)/100 = Rs. 160.
A sum becomes Rs. 3600 in 3 years at 10% p.a. compound interest. What's the principal?
A Rs. 2500 B Rs. 2703.67 C Rs. 3000 D Rs. 2840
A = P(1 + R/100)^T. 3600 = P(1.1)^3 = P(1.331). P = 1 3600
A trader marks goods 40% above cost price and gives 10% discount. What's his profit%?
A 26% B 30% C 32% D 36%
Let CP = 100. MP = 140. SP = 140 × 0.9 = 126. Profit% = (126-100)/100 × 100 = 26%.
A's income is 25% more than B's. By what % is B's income less than A's?
A 20% B 25% C 15% D 18%
Let B's income = 100, A's = 125. B's is less by 125 25
A can do 3 1
A 10 days B 12 days C 15 days D 18 days
If 3 1
P and Q working together can finish work in 8 days. P alone in 12 days. Q alone takes?
A 20 days B 24 days C 18 days D 16 days
Combined rate = 8 1 12 1 8 1 12 1 24 1
A train travels 240 km in 4 hours. What's its speed in m/s?
A 16.67 m/s B 20 m/s C 15 m/s D 18.5 m/s
Speed = 4 240 18 5
A boat travels 30 km upstream in 6 hours and downstream 30 km in 3 hours. Find stream speed?
A 2.5 km/h B 5 km/h C 7.5 km/h D 3 km/h
Upstream speed = 6 30 3 30
Rs. 5000 invested at 12% p.a. compound interest. Amount after 2 years?
A Rs. 6272 B Rs. 6200 C Rs. 6300 D Rs. 6240
A = 5000(1.12)^2 = 5000 × 1.2544 = Rs. 6272.
A pipe fills 4 1
A 8 hours B 10 hours C 12 hours D 15 hours
If 4 1
A man buys 50 kg rice at Rs. 8/kg and sells at Rs. 10/kg. What's profit%?
A 20% B 25% C 30% D 15%
CP = 50 × 8 = 400. SP = 50 × 10 = 500. Profit% = (500-400)/400 × 100 = 25%.
