216 rupees in a bag as coins of 1 rupee, 50 paise and 25 paise coins. If the ratio of their number is 2: 3: 4 How many 50 paise coins in total?
Answers
Hey !
Given,
In a bag, there are 1 Re, 50 p, 25 p coins
Total denomination of all coins = 216 Rs.
Ratio of their No. = 2:3:4
Let the No. of 1 Re coins be 2x
and the No. of 50 p coins be 3x
and the No. of 25 p coins be 4x
Express 50 ps and 25 ps in terms of Re, as the total denomination is given in terms of Rs.
1 Re = 100 ps.
=> 50 Ps = 0.5 Re
=> 25 ps = 0.25 Re
Total denomination of coins = sum of the product of Worth of each coin and the No. of coins.
=> Total denomination of coins = (No. of 1 Re coins × 1) + (No. of 50p coins × 0.5) + (No. of 25 ps coins × 0.25)
=> Total denomination = 2x(1) + 0.5(3x) + 0.25(4x)
= 2x + 1.5x+ 1(x)
= 4.5x
From given Data,
4.5x = 216
=> 45x = 2160
=> x = 2160/45
=> x = 48
•°• Total No. of 50p coins = 3x = 3(48) = 144.
Validation:
No. of 1 Re. coins = 2x = 96
No. of 50 p coins = 3x = 144
No. of 25 p coins = 4x = 192
216 = 96 Rs + 144 (0.5) + 192 ( 0.25)
216 = 96 Rs + 72 Rs + 48 Rs.
216 = 216
LHS = RHS
✓✓✓ Validated
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