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Application Sums
1) A milkman has 50 litres mixture of milk and water in the ratio of 3: 2. If he sold 20 litres of the mixture and replaced by water and this process is repeated one more time, and then find the quantity of the milk in the final mixture?
A) 8.8 litres
B) 9.8 litres
C) 10.8 litres
D) 12.8 litres
E) None of these
2) A can complete 75% of the work in 15 days and B alone complete 60% of the work in 18 days. If A and B works alternatively starting from A and then B so on, in how many days half of the total work in completed?
A) 5 days
B) 6 days
C) 4 days
D) 8 days
E) None of these
3) Â Total number of Red and Blue balls in a box is 100. If certain number of red and blue balls added to the box, then the number of red balls is increased by 20% and number of blue balls increased by 9 and then total number of balls in the box is increased by 23%. What is the ratio of the initial number of red to blue balls in the box?
A) 17: 3
B) 3: 2
C) 13: 12
D) 3: 1
E) None of these
4) Â A boat covers 120 km downstream in 8 hours and the same distance covers in upstream in 40 hours. If the speed of boat in still water and speed of stream is increased by 6 kmph and 4 kmph respectively, then what is the total time taken by the boat to covers 200 km in upstream and downstream?
A) 36 hours
B) 40 hours
C) 45 hours
D) 48 hours
E) None of these
5) Train A crosses 450 m long platform in 42 seconds and the train also crosses a man running in opposite direction at speed of 12 kmph in 12.5 seconds. If train A crosses another z m long train B running in opposite direction at the speed of 30 kmph in 24 seconds, then find the value of z?
A) 200 m
B) 280 m
C) 350 m
D) 420 m
E) None of these
Missing DI
Directions (6 – 10): Study the following information carefully and answer the questions given below
Ratio of the cost price of Laptop and Watch in 2017 is 4: 15 and the profit percentage of Pen drive in 2017 is 16 (2/3) %. Overall profit of all the products in 2017 is 13 (1/3) %. The profit for all the products in 2018 is Rs.6000 and increases by 66.67 % in 2019. Ratio of the cost price of Mobile and Watch in 2019 is 2: 3 and the total cost price in 2019 is Rs.35000.
6) If the sum of the selling price of all the products in 2018 is Rs.39500 and the ratio of the cost price of Laptop and Mobile is 5: 11, then what is the difference between the cost price of Laptop and Mobile in 2018?
A) Rs.3000
B) Rs.2000
C) Rs.3500
D) Rs.2500
E) None of these
7) Â In 2019, the ratio of the selling price and profit for Mouse is 16: 1 and the ratio of the profit of mouse to selling price of pen drive is 1: 5, then the profit of mobile in 2017 is what percentage of the profit of mobile in 2019?
A) 44.45%
B) 55.56%
C) 66.67%
D) 77.78%
E) 88.89%
8) What is the difference between the average profit of Laptop to that of Watch in 2017 and 2019 together?
A) Rs.500
B) Rs.1000
C) Rs.1500
D) Rs.2000
E) None of these
9) In 2019, Mouse sold at the cost price and the ratio of the selling price of mobile to pen drive is 5: 4, then what is the difference between the selling price of Mobile and Mouse in 2019?
A) Rs.5000
B) Rs.6000
C) Rs.4500
D) Rs.6500
E) None of these
10) If the ratio of the cost price of mobile to laptop in 2018 is 9: 4 and the total cost price of all the products in 2018 is Rs.32000, then what is the ratio of profit of mobile to laptop in 2018?
A) 1: 1
B) 2: 1
C) 3: 2
D) 1: 3
E) None of these
Answers :
Directions (1-5) :
1) Answer: C
Milk in 50 litres = 3/5 * 50 = 30 litres
Water in 50 litres = 2/5 * 50 = 20 litres
Quantity of milk = 30 * (1 – 20/50)2   Â
= 30 * 9/25 = 10.8 litres
2) Answer: E
A = 100/75 * 15 = 20 days
B = 100/60 * 18 = 30 days
First 2 days complete the work = 1/20 + 1/30 = 5/60 = 1/12
After 6 times of 2 days = 6/12 = 1/2
After 6 * 2 = 12 days half of the work is completed.
3) Answer: E
Number of red balls = x
Number of blue balls = 100 – x
x * 120/100 + (100 – x + 9) = 100 * 123/100
6x/5 + 109 – x = 123
6x + 545 – 5x = 123 * 5
x = 70
Number of blue balls = 100 – 70 = 30
Required ratio = 7: 3
4) Answer: D
Speed of downstream = 120/8 = 15 kmph
Speed of upstream = 120/40 = 3 kmph
Speed of the boat in still water = (15 + 3)/2 = 9 kmph
Speed of the stream = (15 – 3)/2 = 6 kmph
After increased the speed by boat = 9 + 6 = 15 kmph
Stream speed = 6 + 4 = 10 kmph
Downstream speed = 15 + 10 = 25 kmph
Upstream speed = 15 – 10 = 5 kmph
Required time = 200/25 + 200/5 = 8 + 40 = 48 hours
5) Answer: C
Length of train A = x
Length of train B = z
Speed of train A = y
x + 450 = y * 5/18 * 42
3x + 1350 = 35y
35y – 3x = 1350 ————- (1)
x = (y + 12) * 5/18 * 12.5
18x = 62.5y + 750
18x – 62.5y = 750 ——— (2)
147.5y = 8850
y = 60 kmph
x = 250 m
250 + z = (60 + 30) * 5/18 * 24
z = 350 m
Directions (6 – 10):
In 2017:
SP of pen drive in 2017 = p
(p – 3000/3000) * 100 = 50/3
p = 3500
Total CP of all the products in 2017 = 3500 + 4x + 3000 + 15x + 14000
= 20500 + 19x
Total SP of all the products in 2017 = 4500 + 2500 + 3500 + 9000 + 14500
= 34000
(34000 – 20500 – 19x)/(20500 + 19x) = 40/300
202500 – 285x = 41000 + 38x
323x = 161500
x = 500
CP of laptop in 2017 = 4 * 500 = Rs.2000
CP of Watch in 2017 = 15 * 500 = Rs.7500
In 2018:
Total profit in 2018 = Rs.6000
In 2019:
Total profit in 2019 = 6000 * 166.67/100 = Rs.10000
CP of all the products in 2019 = 35000
CP of mobile and watch in 2019 = 35000 – (2500 + 2500 + 15000)
= 35000 – 20000 = 15000
CP of mobile in 2019 = 2/5 * 15000 = 6000
CP of Watch in 2019 = 3/5 * 15000 = 9000
SP of all the products in 2019 = 35000 + 10000 = Rs.45000
7) Answer: A
Total cost price of all the products in 2018 = 39500 – 6000 = 33500
CP of mobile and laptop in 2018 = 33500 – 3000 – 10000 – 12500 = 8000
16y = 8000
y = 500
Difference = 11x – 5y = 6y = 6 * 500 = 3000
7) Answer: C
CP of mouse in 2019 = 16y – y = 15000
y = 1000
SP of mouse in 2019 = 16 * 1000 = 16000
Profit of mouse in 2019 = Rs.1000
SP of pen drive in 2019 = 5/1 * 1000 = 5000
SP of Mobile in 2019 = 45000 – 4000 – 5000 – 12500 – 16000 = 7500
Profit of mobile in 2019 = 7500 – 6000 = 1500
Profit of mobile in 2017 = 4500 – 3500 = 1000
Required percentage = 1000/1500 * 100 = 66.67%
8) Answer: C
Profit of laptop in 2017 = 2500 – 2000 = 500
Profit of laptop in 2019 = 4000 – 2500 = 1500
Profit of watch in 2017 = 9000 – 7500 = 1500
Profit of watch in 2019 = 12500 – 9000 = 3500
Average profit of laptop = (500 + 1500)/2 = 1000
Average profit of watch = (1500 + 3500)/2 = 2500
Difference = 2500 – 1000 = 1500
9) Answer: E
SP of mouse in 2019 = 15000
Total SP of all the products in 2019 = 45000
SP of Mobile and Pen drive in 2019 = 45000 – 4000 – 12500 – 15000 = 13500
Sp of Mobile in 2019 = 5/9 * 13500 = 7500
Difference = 15000 – 7500 = 7500
10) Answer: A
CP of mobile and laptop in 2018 = 32000 – 3000 – 10000 – 12500 = 6500
CP of mobile in 2018 = 9/13 * 6500= 4500
CP of laptop in 2018 = 4/13 * 6500 = 2000
Profit of mobile in 2018 = 6000 – 4500 = 1500
Profit of laptop in 2018 = 3500 – 2000 = 1500
Required ratio = 1500: 1500 = 1: 1
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