A bag contains 25-paise, 50-paise and l-rupee coins in the ratio 8 : 2 : 7. If the total value of all the coins in the bag is Rs. 770, then find the total number of all the 25 paise and 50 paise coins in the bag.
A bag contains 25-paise, 50-paise and l-rupee coins in the ratio 8 : 2 : 7. If the total value of all the coins in the bag is Rs. 770, then find the total number of all the 25 paise and 50 paise coins in the bag.
Option 1 -
Rs. 770
Option 2 -
Rs. 154
Option 3 -
Rs. 231
Option 4 -
Rs. 147
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1 Answer
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Correct Option - 1
Detailed Solution:The bag has 25-paise, 50-paise and 1 -rupee coins in the ratio 8 : 2 : 7. Now this is the ratio of the number of coins while the total value of the coins has been given. So we first need to convert coins into value.
Let the coins be 8x, 2x and 7x respectively.
8x coins of 1/4 rupee each = value is Rs. 2x.
2x coins of 1/2 rupee each = value is Rs. x.
7x coins of 1 rupee each = value is Rs. 7x.
Now
2x + x + 7x = 770
10x = 770 x = 77
Number of 25 paise and 50 coins = 10 x = 770 coins
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