Multiple Choice Questions47. Show
The compound interest on ₹ 5,000 for 3 years at 10% p.a. will amount to
B. ₹ 1,655 Compound interest for 3 years is given
by:  ⟹ (500 + 550 + 605) = ₹ 1655 189 Views 45. If a boy walks from his house to school at the rate of 4 km per hour, he reaches the school 10 minutes earlier than the scheduled time. However, if he walks at the rate of 3 km per hour, he reaches 10 minutes late. Find the distance of his school from his house.
B. 4 km Let the distance of a school be x km,
then Shortcut Method: 324 Views 44. The distance between A and B is 999 km. An express train leaves place A at 6am and runs at a speed of 55.5 km/hr. The train stops on the way for 1 hour 20 minutes. It reaches B at
A. 1.20 am Distance = 999 km Train stops = 1 hour 20 minutes ∴ Required time = 18 hours + 1 hour 20 minutes = 19 hours 20 minutes i.e. 1 : 20 am. 362 Views 49. A sum of ₹ 3,200 invested at 10% p.a. compounded quarterly amounts to ₹ 3,362. Compute the time period.
A. 263 Views D. 21% 238 Views 43. A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is
A. 1 : 4 Let the speed of cyclist be x kmph ...(i) = (x) X (y) km Distance covered by cyclist is xy km Distance
covered by jogger = (xy /2) km From (i) and (ii) Ratio of their speeds = 357 Views 46. Two trains are running 40 km/hr and 20 km/hr respectively in the same direction. The fast train completely passes a man sitting in the slow train in 5 seconds. The length of the fast train is C. As trains are moving in the same direction: Time = 5 seconds ∴ Length of the faster train 226 Views 48. What sum will give ₹ 244 as the difference between simple interest and compound interest at 10% in
C. ₹ 32,000 Shortcut Method: Rate = Difference 541 Views 42. Three sets of 40, 50 and 60 studens appeared for an examination and the pass percentage was 100, 90 and 80 respectively. The pass percentage of the whole set is A. Required
percentage: 172 Views 41. In an examination A got 25% marks more than B, B got 10% less than C and C got 25% more than D. If D got 320 marks out of 500, the marks obtained by A were
B. 450
Marks obtained by D = 320 marks B got 10% less than C ∴ Marks obtained by B = (400 - 10% of 400) = (400 - 40) = ₹ 360 A got 25% more than B: 884 Views At what rate percent compound interest does a sum of money becomes 1.44 times of itself?A=P(1+r100)n1.44p=p(r100)2√1.44=(r100)1.2=1+r1001.2−1=r1000.2×100=rr=20%
At what rate per cent will a sum of 4000 yield 1 324 as compound interest in3 years?Thus, the rate of interest is 10%.
At what rate per cent of simple interest does a sum of money double itself in 12?Let the principal be x. Then, the amount after 12 years be 2x. Let the rate of interest be R. ∴ The rate of interest is 25/3%.
At what rate percent compound interest does a sum of money becomes 9 times in 2 years?Detailed Solution
The sum becomes 9 times in 2 years. Calculation: Let the principal be 'P'. ∴ The rate of interest is 200%.
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At what rate per cent compound interest does a sum of money become 1.44 times of itself in 2 years?
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