# The prices of a scooter and a television set are in the ratio 3 : 2. If a scooter costs Rs. 6000 more than the television set, the price of the television set is __________________

A.Rs. 6000

B.Rs. 10000

C.Rs. 12000

D.Rs. 18000

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**Hint:**Consider $3x$ be the price of scooter and $2x$ be the price of the television.And they given scooter price costs Rs.6000 more than price of the television, So convert this into mathematical equation i.e $3x-2x=6000$ and find the value of x and substitute in assumed price i.e 2x which gives required answer.

**Complete step-by-step answer:**

Let the price of a scooter be 3x and of a T.V. be 2x.

The difference between the two prices is 3x-2x,

\[ \Rightarrow 3x - 2x = 6000\]

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.

\[ \Rightarrow x = 6000\]

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 3x=3×6000= Rs. 18000

And the price of T.V. set is 2x=2×6000=Rs. 12000

**So, the correct answer is “Option C”.**

**Note:**The numbers forming the ratio are called terms. The numerator, “3”, in this case, is known as the antecedent and the denominator, “2” is known as the consequent. When reading the question we note that scooter is mentioned first and then T.V., which implies numerator “3” denotes the scooter and “2” denotes T.V. is denominator.