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Ratio and Proportion

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Tuesday, March 18, 2025

A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes are equal. What is the total number of notes ?

March 18, 2025 |

General Aptitude, Ratio and Proportion, RRB Goods Guard Exam (Bhopal) 2008, Solved

A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes are equal. What is the total number of notes ?

A60

B90

C75

D45

Akhilesh Mar 18 '25 at 22:54

correct answer is: 90
Explanation: Let the number of each type of note be $n$ . The total amount from each type is $1n + 5n + 10n = 16n$ . Setting this equal to 480 gives $n = 30$ . Thus, the total number of notes is $3 \times 30 = 90$ .

Option a (60): Incorrect, as $16 \times 60 = 960$ , which exceeds 480.

Option b (90): Correct, as explained above.

Option c (75): Incorrect, as $16 \times 75 = 1200$ , which is too high.

Option d (45): Incorrect, as $16 \times 45 = 720$ , which is also too high.

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Monday, August 22, 2022

The cost of making an article is divided between materials. labour and overheads in the ratio of 3 : 4 : 1. If the material costs Rs.234, then the labour cost is:

August 22, 2022 |

General Aptitude, INSURANCE EXAMS (NICL) 2013, Ratio and Proportion, Solved

The cost of making an article is divided between materials. labour and overheads in the ratio of 3 : 4 : 1. If the material costs Rs.234, then the labour cost is:

ARs.176

BRs.312

CRs.78

DRs.390

Nithin undefined

Correct answer is: Rs.312

Explanation:

Materials : labour : Overheads = 3 : 4 : 1
Sum of ratios = 3 + 4 +1 = 8
If the total cost be Rs. x, then

$= \frac{3x}{8}=234$

$\implies \Large x = \frac{234 \times 8}{3}$ = Rs.624

Therefore, Labour cost = $\frac{4}{8} \times 624$

= Rs.312

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If A : B = 1 : 3, B : C = 5 : 7, C : D = 9 : 7, then A : B : C : D = ?

August 22, 2022 |

General Aptitude, INSURANCE EXAMS (NICL) 2013, Ratio and Proportion, Solved

If A : B = 1 : 3, B : C = 5 : 7, C : D = 9 : 7, then A : B : C : D = ?

A15 : 45 : 63 : 49

B15 : 49 : 45 : 63

C45 : 15 : 63 : 49

D49 : 15 : 45 : 63

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Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

August 22, 2022 |

General Aptitude, INSURANCE EXAMS (NICL) 2013, Ratio and Proportion, Solved

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A1 : 3

B3 : 2

C3 : 4

DNone of these

Nithin undefined

Correct answer is: 3 : 2

Explanation:

$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{speeds}}\,{\text{of}}\,{\text{the}}\,{\text{two}}\,{\text{trains}}\,{\text{be}}\,x\,{\text{m/sec}} \cr & {\text{and}}\,y\,{\text{m/sec}}\,{\text{respectively}}. \cr & {\text{Then,}}\,{\text{length}}\,{\text{of}}\,{\text{the}}\,{\text{first}}\,{\text{train}} = 27x\,{\text{metres}}, \cr & {\text{and}}\,{\text{length}}\,{\text{of}}\,{\text{the}}\,{\text{second}}\,{\text{train}} = 17y\,{\text{metres}}. \cr & \therefore \frac{{27x + 17y}}{{x + y}} = 23 \cr & \Rightarrow 27x + 17y = 23x + 23y \cr & \Rightarrow 4x = 6y \cr & \Rightarrow \frac{x}{y} = \frac{3}{2} \cr}$

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The average score of a class of boys and girls in an examination is A. The ratio of boys and girls in the class is 3 : 1. If the average score of the boys is A + 1, the average score of the girls is-

August 22, 2022 |

General Aptitude, INSURANCE EXAMS (NICL) 2013, Ratio and Proportion, Solved

The average score of a class of boys and girls in an examination is A. The ratio of boys and girls in the class is 3 : 1. If the average score of the boys is A + 1, the average score of the girls is-

AA - 1

BA - 3

CA + 1

DA + 3

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