Question

The cost of 11 sofa sets of the same kind is Rs 66,000. What amount will a tent house manager pay for 6 such sofa sets?

Answer 1

Hint: Now we are given with the price of 11 sofa sets. We will divide the price by 11 to find the price of 1 sofa set. Now we know the price of 6 sofa sets = 6 × price of 1 sofa set. Hence we can calculate the required price of 6 sofa sets.

Complete step by step answer:
Now we are given that the price of 11 sofa sets is Rs 66,000.
Now we will find the price of 1 sofa set.
To do so we will divide the price of 11 sofa sets by 11.
Hence we get, the price of 1 sofa set is ${\displaystyle \frac{66,000}{11}}=6,000$ .
Now the price of 1 sofa set is Rs 6000.
We want to find the price of 6 such sofa sets.
Hence we will multiply the price of 1 sofa set to 6.
Hence we get, the price of 6 sofa sets is 6 × 6000 = 36000.
Hence the price of 6 sofa sets will be Rs 36,000.

Note: Now note that we can also calculate the price quickly without calculating the price of 1 sofa set. In such questions remember the ratio of price and number of objects is always the same.
Hence if we say the price of 6 sofa sets is x. Then we can write as ${\displaystyle \frac{66000}{11}}={\displaystyle \frac{x}{6}}$ . Now we will solve this equation to find the value of x.