# The prices of a scooter and a cycle are in the ratio $9:5$. If scooter costs Rs.4200 more than the cycle, the price of the cycle is:

(A) Rs.5250

(B) Rs.5200

(C) Rs.5000

(D) Rs.4800

Last updated date: 21st Mar 2023

•

Total views: 305.1k

•

Views today: 3.83k

Answer

Verified

305.1k+ views

Hint: Assume the cost of scooter and cycle to be 9x and 5x respectively. Find out the difference between them and satisfy the condition given in the question.

Complete step-by-step answer:

According to the question, the prices of scooter and cycle are in the ratio $9:5$. Let the price of a scooter is $9x$ and that of a cycle is $5x$.

Given, the cost of scooter is Rs.4200 more than that of cycle. So, we have:

$

\Rightarrow 9x - 5x = 4200, \\

\Rightarrow 4x = 4200, \\

\Rightarrow x = 1050 \\

$

The value of $x$ is $1050$.

Then, the cost of the cycle is $5x = 5 \times 1050 = 5250$.

The cost of cycle is Rs.5250. (A) is the correct option.

Note: We can solve the question using the ratio and proportion method also.

The costs of scooter and cycle are in the ratio $9:5$. Thus, the difference between their costs is 4 ratios. And the difference between their costs is already given in question and it is Rs.4200.

So, 4 ratio is equivalent to 4200.

Hence, 1 ratio is equivalent to $\dfrac{{4200}}{4} = 1050$

And the cost of a cycle is 5 ratios. So, the cost of cycle is $5 \times 1050 = 5250$

Complete step-by-step answer:

According to the question, the prices of scooter and cycle are in the ratio $9:5$. Let the price of a scooter is $9x$ and that of a cycle is $5x$.

Given, the cost of scooter is Rs.4200 more than that of cycle. So, we have:

$

\Rightarrow 9x - 5x = 4200, \\

\Rightarrow 4x = 4200, \\

\Rightarrow x = 1050 \\

$

The value of $x$ is $1050$.

Then, the cost of the cycle is $5x = 5 \times 1050 = 5250$.

The cost of cycle is Rs.5250. (A) is the correct option.

Note: We can solve the question using the ratio and proportion method also.

The costs of scooter and cycle are in the ratio $9:5$. Thus, the difference between their costs is 4 ratios. And the difference between their costs is already given in question and it is Rs.4200.

So, 4 ratio is equivalent to 4200.

Hence, 1 ratio is equivalent to $\dfrac{{4200}}{4} = 1050$

And the cost of a cycle is 5 ratios. So, the cost of cycle is $5 \times 1050 = 5250$

Recently Updated Pages

If ab and c are unit vectors then left ab2 right+bc2+ca2 class 12 maths JEE_Main

A rod AB of length 4 units moves horizontally when class 11 maths JEE_Main

Evaluate the value of intlimits0pi cos 3xdx A 0 B 1 class 12 maths JEE_Main

Which of the following is correct 1 nleft S cup T right class 10 maths JEE_Main

What is the area of the triangle with vertices Aleft class 11 maths JEE_Main

The coordinates of the points A and B are a0 and a0 class 11 maths JEE_Main

Trending doubts

What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?