Number of bullets fired by Gun A in 10 minutes is approximately how much percentage more than the nu...........

Quantitative Aptitude(IBPS CL) Case Studies

Direction: Study the following information carefully and answer the questions that follow.
There are three different Guns A, B and C. Different numbers of bullets are fired from each Gun. A few of them hit the target while others missed.
Gun A: 70% of the total number of fired bullets missed the target.
Gun B: Total 900 bullets were fired and 33.33% hit the target.
Gun C: 450 bullets hit the target.
The number of bullets that hit the target by Gun A is 20% less than that by Gun B . The number of bullets that missed the target by Gun C is 6.25% less than the number of bullets fired by Gun A. Time gap between the firing of two bullets is 5 seconds, 3 seconds and 7 seconds for Gun A, Gun B and Gun C respectively.

Number of bullets fired by Gun A in 10 minutes is approximately how much percentage more than the number of bullets fired by Gun B in 4 minutes?

30%

45%

49%

64%

60%

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Explanation:

Gun B:
Total number of bullets fired = 900
Number of bullets that hit the target = 900 × 33.33% = 300
Number of bullets that missed the target = 900 – 300 = 600
Gun A:
Number of bullets that hit the target = 300 × 80% = 240
Total number of bullets fired =240/30 x 100 = 800
Number of bullets missed the target = 800 – 240 = 560
Gun C:
Number of bullets missed the target = 800 × (100 – 6.25)% = 750
Number of bullets hit the target = 450
Total number of bullets fired = 750 + 450 = 1200

Using the previous concept of number of terms in Arithmetic progression.
Number of bullets fired by Gun A in 10 minutes =(10x 60)/5 + 1 = 121
Number of bullets fired by Gun A in 10 minutes =(4x60)/3 + 1 = 81
Difference = 121 – 81 = 40

Required percentage = 40/81 x 100 ≈ 49%
Hence, option C is correct.