question_answer

Find the ratio of the price of coffee to that of tea, when coffee costs Rs. 24 per 100 gm and the tea costs Rs. 80 per kg

Answer:

In order to compare the price of coffee with that of tea, we must first find the cost of the same quantity of each of them. Let us find the cost or 1 kg of each of the two items We have/Cost of 100 gm. of coffee = Rs. 24 \[\Rightarrow \] cost of 1 gm. of coffee \[=Rs.\left( \frac{24}{100} \right)\] \[\Rightarrow \] cost of 1000 gm. of coffee \[=Rs.\left( \frac{24}{100}\times 1000 \right)\]                                     \[=Rs.\,240\] \[\therefore \]             cost of 1 kg of coffee \[=Rs.\,240\] [\[\because \] 1 kg = 1000 gm.] It is given that the cost of 1 kg of tea is Rs. 80. \[\therefore \]  Ratio of the price of coffee to the price of tea = Cost of 1 kg of coffee: Cost of 1 kg of tea \[=Rs.\,\,240:\,Rs.\,80\] \[=240:80\] \[=3:1\]                                                                                                                         [Dividing the first and second terms by their                                                 H.C.F. = 80]