Ratio and Proportions Questions for RRB NTPC Set-4 PDF
Download RRB NTPC Ratio and Proportions Questions Set-4 PDF. Top 10 RRB NTPC questions based on asked questions in previous exam papers very important for the Railway NTPC exam.
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Question 1: If the ratio of cost price and selling price of an article be as 10:11, the percentage of profit is
a) 8
b) 10
c) 11
d) 15
Question 2: A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is
a) 45:56
b) 45:51
c) 47:56
d) 47:51
Question 3: Two natural numbers are in the ratio 3:5 and their product is 2160. The smaller of the numbers is
a) 36
b) 24
c) 18
d) 12
Question 4: If Rs. 1000 is divided between A and B in the ratio 3:2, then A will receive
a) Rs. 400
b) Rs. 500
c) Rs. 600
d) Rs. 800
Question 5: What must be added to each term of the ratio 7:11, so as to make it equal to 3:4 ?
a) 8
b) 7.5
c) 6.5
d) 5
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Question 6: Two number are in the ratio 7:1 1. If 7 is added to each of the numbers, the ratio becomes 2:3. The smaller number is
a) 39
b) 49
c) 66
d) 77
Question 7: If an article is sold at 200% profit, then the ratio of its cost price to its selling price will be:
a) 1:2
b) 2:1
c) 1:3
d) 3:1
Question 8: The ratio of milk and water in mixtures of four containers are 5:3, 2:1, 3:2 and 7:4 respectively. In which container is the quantity of milk, relative to water, minimum?
a) First
b) Second
c) Third
d) Fourth
Question 9: Two numbers are in the ratio 1:3. If their sum is 240, then their difference is:
a) 120
b) 108
c) 100
d) 96
Question 10: The ratio of income and expenditure of a person is 11:10. If he saves IRS. 9,000 per annum. his monthly income is:
a) Rs. 8,000
b) Rs. 8,800
c) Rs. 8,500
d) Rs. 8,250
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Answers & Solutions:
1) Answer (B)
Let the cost price be 10x and selling price be 11x
Percentage Profit = $\frac{11x – 10x}{10x}$ x 100 = 10
2) Answer (A)
Given: Profit = 12%
Discount on printed price = 10%
Let’s say cost price is $x$ and printed price is $y$
hence sold price will be $x$ + $\frac{12x}{100}$ and $y$ – $\frac{10y}{100}$
Both should be equal:
hence $x$ + $\frac{12x}{100}$ = $y$ – $\frac{10y}{100}$
$\frac{x}{y}$ = $\frac{45}{56}$
3) Answer (A)
Given:
Ratio of two numbers = 3:5
Hence we can say first number is $3x$ and second number is $5x$
Product of two numbers is = 2160
or $15x^{2}$ = 2160
or $x$ = 12
hence numbers will be 30 and 60
4) Answer (C)
Given: ratio of A and B is 3:2 and total money to be divided 1000
let’s say A received $3x$ and B received $2x$
hence $3x$ + $2x$ = 1000
or $x$ = 200
hence A will receive 600
5) Answer (D)
Given: Terms are in ratio 7:11
let’s say first term $7x$ and second term $11x$
adding $y$ to each term, it will be $7x+y$ and $11x+y$
and its ratio will be 3:4
hence $7x+y$ : $11x+y$ = 3:4
on solving above equation we get $5x$ = $y$
hence adding number should be a multiple of 5.
answer will be (D)
6) Answer (B)
Let’s say numbers are $7x$ and $11x$
adding 7 to each of them
hence $\frac{7x+7}{11x+7}$ = $\frac{2}{3}$
or $x$ = 7
smaller digit will be 49
7) Answer (C)
As we know cost price + profit = selling price
let’s say cost price is $x$
as profit is 200% on cost price it will be $2x$
hence selling price will be 3x and ratio of cost price to selling price will be 1:3
8) Answer (C)
In first container quantity of milk relative to water is $\frac{5}{3} \times100$ = 166.65%
In second container quantity of milk relative to water is $\frac{2}{1} \times100$ = 200%
In third container quantity of milk relative to water is $\frac{2}{1} \times100$ = 150%
In fourth container quantity of milk relative to water is $\frac{7}{4} \times100$ = 175%
hence third container has least ratio
9) Answer (A)
let’s say one number is $x$ and another is $3x$
summation will be $4x$ = 240
$x$ = 60
hence number will be 60 and 180
and difference will be 120.
10) Answer (D)
let’s say income is $11x$ and expenditure is $10x$ hence saving will be $x$
so when saving is $x$, annual income is $11x$
now when saving is 9000 , annual income will be 99000
and monthly income will be 8,250
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