Question

11. The ratio of the prices of T. V. and Tape recorder is 8: 3. If the price of Tape recorden
is3300 then find the total price of the two articles​

Answer 1

Answer :

Total price of two articles is Rs 12100.

Clarification :

Here, we are given that the ratio of the prices of T. V. and Tape recorder is 8:3. We'll assume the the price of T.V and tape recorder as 8x and 3x respectively. Then, as we are given the price of tape recorder, through this we'll find the value of x. After that , we'll multiply 8 with the value of x we'll get and then we'll add both prices to get our answer.

Given :

• The ratio of the prices of T. V. and Tape recorder is 8:3.

• The price of tape recorder is 3300.

To calculate :

• The total price of the two articles.

Calculation :

Let the prices of T.V and tape recorder be 8x and 3x respectively.

According to the question,

$\sf {\longrightarrow }$ Price of T.V + Price of tape recorder = Total price of the two articles

$\sf {\longrightarrow 8x + 3x = Total \: Price . . . . . . (i) }$

Also, we are given that,

$\sf {\longrightarrow }$ Price of tape recorder = Rs 3300

$\sf {\longrightarrow 3300 = 3x . . . . . . (ii) }$

Then,

$\sf {\longrightarrow \dfrac{3300 }{3}= x }$

$\longrightarrow \boxed{\pmb { \blue{ 1100 = x}} }$

As we got the value of x also we assumpt the price of T.V as 8x. So,

➛ Price of T.V = 8x

➛ Price of T.V = Rs ( 8 × 1100 )

➛ $\boxed{\pmb { \blue{ Price \: of \: T.V = 8800}} }$

Therefore,

Substituting the values in equation 1.

$\sf {\longrightarrow }$ Price of T.V + Price of tape recorder = Total price of the two articles

➛ Rs 3300 + Rs 8800 = Total price of the two articles

➛ $\boxed{\pmb { \blue{ Total \; Price = Rs \: 12100}} }$ $\blue {\bigstar}$

Henceforth, total price of two articles is Rs 12100.