Question

The ratio of costs of a washing machine and a television is $4:9$ . Ram spent $₹32500$ for both. Find the cost of washing machine and television.

Answer 1

Step 1: Finding the value of $x$

Ratio$=4:9$

Let the ratio be $x$.

Cost of washing machine $=4x$

Cost of television$=9x$

According to question

Total cost $=32500$

$$\begin{gathered} \Rightarrow 4x+9x=32500 \\ 13x=32500 \\ x=2500 \end{gathered}$$

Step 2: Finding cost of washing machine

Cost of washing machine

$$\begin{gathered} =4x \\ =4\times 2500 \\ =₹10000 \end{gathered}$$

Step 3: Finding cost of television

Cost of television

$$\begin{gathered} =9x \\ =9\times 2500 \\ =₹22500 \end{gathered}$$

Therefore, the cost of washing machine is $₹10000$ and the cost of television is$₹22500$.