Questions & Answers

Question

Answers

A) Rs. 20000

B) Rs. 24000

C) Rs. 28000

D) Rs. 32000

Answer
Verified

Let the price of a scooter be 7x and of a T.V. be 5x. Then

\[ \Rightarrow 7x:5x = 8000:TV\]

The difference between the two prices is 7x-5x,

\[ \Rightarrow 7x - 5x = 8000\]

Isolate the variable on one side of the equation.

When the variable is multiplied by a coefficient in the final stage, multiply both sides of the equation by the reciprocal of the coefficient.

\[ \Rightarrow x = \dfrac{{8000}}{2} = 4000\]

If the unknown number is in the denominator we can use another method that involves the cross product. The cross product is the product of the numerator of one of the ratios and the denominator of the second ratio.

Therefore, price of scooter is 7x=7×4000= Rs. 28000

And the price of T.V. set is 5x=5×4000=Rs. 20000

So, option (A) is correct answer