A bag contains several 50 paise ,1 rupee and 2 rupee coins in the ratio 8:6:7 respectively. If the value of investments contribution contribution of 2 rupee coins is more by 12 rupees than the contribution of all the remaining coins, then find the total number of coin's.
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Answer:
Total coins = 63
Step-by-step explanation:
50 Paise : 1 Rs : 2 Rs ::: 8 : 6: 7
Let say x is common multiplier then
50 Paise coins = 8x
Value of 50 Paise coing = 8x × (50/100) = 4x Rs
1 Rs Coins = 6x
Value of 1 Rs Coins = 6x × 1 = 6x Rs
2 Rs Coins = 7x
Value of 7Rs Coins = 7x × 7 = 14x Rs
Value of 2 rupee coins = 12 + value of 1 rupee coins + Value of 50 Paise coins
14x = 12 + 6x + 4x
=> 4x = 12
=> x = 3
Total Coins = 8x + 6x + 7x = 21x
21 x = 21 × 3 = 63
Total coins = 63
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