A bag contains 50 Paisa ,25 Paisa,10 Paisa coins in the ratio 5:7:9 amounting to Rs.309 . find the number of coins of 50 Paisa ?
Answers
Step-by-step explanation:
Ratio of coins is 5:9:4 in terms of number of coins
What is the ratio in terms of value?
It is 5×50: 9×25: 4×10 and this works out to
250 : 225 : 40. The total of ratios is 250 +225+ 40 =515. That means in the least proportions the population equals to 515.
For this a value has been given. That is Rs 206. Since there are 100 paise for a Rupee and we are dealing with paise let the amont be converted to Paise. That is 206 ×100 = 20600 paise.
Now this is the value of the popoulation. Therefore 515 can be equated to 20600 paise
Therefore 1 unit = 20600/515 = 40
This means if we expand the least proportions by 40 times we would get the actual values.
Therefore nimbers of coins in the bag are as follows.
50 paise = 5 × 40 =200
25 paise =9 ×40 =360
10 paise =4 ×40 =160