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Arithmetic : Level 2 Test -4

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Question 1
The ratio between the number of passengers travelling by class Iand II between the two railway stations is 1 : 50, whereas the ratio of class I and II fares between the same stations is 3 : 1. If on a particular day, Rs 1325 revenue collected from the passengers travelling between these stations, then what was the amount collected from the class II passengers?
A
Rs 1000
B
Rs 850
C
Rs 750
D
Rs 1250
Question 1 Explanation: 
Let class I and class II passengers be  = s and 50s
Fares of I and II class = 3r and r.
s x 3r + 50s x r = Rs. 1325
53sr = 1325
sr = 1325/53 = 25
Therefore the amount collected from the class 2 passengers = 50 x 25 = 1250
Hence, option D is the right answer
Question 2
A and B enter into a partnership with Rs. 50,000 and Rs. 60,000 respectively. C joins them after n months contributing Rs 70,000 and B leaves n months before the end of the year. If they share the profit in the ratio of 20 : 18: 21, then find the value of n.
A
6
B
3
C
9
D
8
Question 2 Explanation: 
Profit shared in the ratio of 20 : 18: 21,
Share of A = 50000 x 12 = 600000
Share of B = (12 – n ) x 60000
Now between A and B the profit was 20 :18
Therefore according to the question
600000/ (12 – n ) x 60000 =  20/18
From here n = 3 months
Question 3
Rahul started a business with a capital of Rs 8,000. After six months, Sanjay joined him with an investment of some capital. If at the end of the year each of them gets equal amount as profit, how much did Sanjay invest in the business?
A
Rs 16,000
B
Rs 17,500
C
Rs 18,000
D
Rs 16,500
Question 3 Explanation: 
Rahul ‘s capital = Rs. 8000
Let the money invested by Sanjay = Rs. r
Since at the end of the year each of them gets equal amount as profit
Therefore we can say that
8000 x 12 / z x 6 = 1/1
z = Rs 16, 000
Question 4
A manufacturer of a certain item can sell all he can produce at the selling price of Rs 60 each. It costs him Rs 40 in material and labour to produce each item and he has overhead expenses of Rs 3000 per week in order to operate that plant. The number of units he should produce and sell in order to make a profit of at least Rs 1000 per week is
A
250
B
300
C
400
D
200
Question 4 Explanation: 
Profit on each unit product = 60 – 40 = Rs. 20
Profit on products every week = 3000 +1000 = Rs. 4000
Therefore, the required unit products per week = 4000/20 = 200
Question 5
If the selling price of a product is increased by Rs 162, then the business would make a profit of 17% instead of a loss of 19%. What is the cost price of the product?
A
Rs 540
B
Rs 450
C
Rs 360
D
Rs 600
Question 5 Explanation: 
Let cost price = Rs. c
According to question
(c+17% of c) – (c-19% of c) = 162
Or 117% of x – 81% of x = 162
Or 36% of x = 162
By solving
x = Rs. 450
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