40 points------ Q) A bag contains 25 paise, 50 paise and ₹1 coins in the ratio of 2:3:5 and it amounts to ₹385. Find the number of coins of each type.
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Let the coins are be 2x , 3x , 5x
According to the question,
( 2x coins of 25 paise ) + ( 3x coins of 50 paise ) + ( 5x coins of 100 paise ) = 385
=> Rs ( 2x × 1 / 4 ) + Rs ( 3x × 1 / 2 ) + Rs ( 5x × 1 ) = 385
=> ( x / 2 ) + ( 3x / 2 ) + 5x = 385
=> ( x + 3x + 10x ) / 2 = 385
=> 14x = ( 385 × 2 )
=> x = ( 385 × 2 ) / 14
=> x = 55
Hence,
25 paise coins = 2( 55 ) = 110
50 paise coins = 3( 55 ) = 165
1 Rupee coins = 5( 55 ) = 275
Total number of coins = 110 + 165 + 275 = 550
According to the question,
( 2x coins of 25 paise ) + ( 3x coins of 50 paise ) + ( 5x coins of 100 paise ) = 385
=> Rs ( 2x × 1 / 4 ) + Rs ( 3x × 1 / 2 ) + Rs ( 5x × 1 ) = 385
=> ( x / 2 ) + ( 3x / 2 ) + 5x = 385
=> ( x + 3x + 10x ) / 2 = 385
=> 14x = ( 385 × 2 )
=> x = ( 385 × 2 ) / 14
=> x = 55
Hence,
25 paise coins = 2( 55 ) = 110
50 paise coins = 3( 55 ) = 165
1 Rupee coins = 5( 55 ) = 275
Total number of coins = 110 + 165 + 275 = 550
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gulabsingh22:
so good answere
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