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1
If the ratio of present ages of A and B is 5:7 and after 8 years the ratio becomes 7:9, what is A's present age?
A.20 years
B.25 years
C.30 years
D.35 years
Explanation: Let ages be 5x and 7x. Then (5x+8)/(7x+8)=7/9, giving x=5 and A=25 years.
2
A sum becomes ₹14,400 in 2 years and ₹17,280 in 3 years at compound interest. Find the rate of interest per annum.
A.10%
B.15%
C.20%
D.25%
Explanation: 17280/14400 = 1.2, so the annual growth factor is 1.2. Hence, rate = 20%.
3
A train travels 360 km at a certain speed. If the speed is increased by 20 km/h, the journey takes 2 hours less. What is the original speed of the train?
A.40 km/h
B.45 km/h
C.60 km/h
D.72 km/h
Explanation: Let original speed be x. Using time difference equation: 360/x - 360/(x+20) = 2 gives x = 60 km/h.
4
A shopkeeper marks an item 40% above cost price and gives two successive discounts of 10% and 20%. What is the profit percentage?
A.0.8%
B.1.2%
C.2.4%
D.4%
Explanation: Selling price factor = 1.4 × 0.9 × 0.8 = 1.008, so profit = 0.8%.
5
A product costs ₹22. What is 17% of its value?
A.32.4
B.35.4
C.37.4
D.40.4
Explanation: 17% of ₹22 = ₹37.4.
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