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A box has 210 coins of denominations one-rupee and fifty paise only. The ratio of their respective values is 13 : 11. The number of one-rupee coin is
Answer & Solution
Correct Answer:
Option
D
Respective ratio of the NUMBER of coins;
= 13 : 11 × 2 = 13 : 22
Hence, Number of 1 rupee coins;
= $$\frac{{13 \times 210}}{{13 + 22}}$$ = 78
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Logintotal part =35
210÷35=6
(13×6)=78
first the unit must be same for ratio so we convert paisa into rupee; 11*2 = 22
Now 13 : 22 both rupees
Now 13x + 22x = 210 (if we multiply with x we get same no but we don't know x yet)
35x = 210
x = 6
Now 13x = 13 (6) = 78 Ans
:.-13*(1)
11*(2)
ATQ
13x*1+11x/.5=210
X=210/35
=>13*210/35=78
Two 5oty paisa make one rupee ms
Explanation:the given ratio is not possible for Given 210 coins
Take to consider above explanation
1 rupee coins have 78=78rupees
Renaming
210-78=132
Therefore ,50 paise coins have 132
78 and 132 are not in the given ratio (13:11)
Rupee:paise
13:11(11×2=22 convert into Rs.)
We have to calculate number of one rupee coin
Here. 13(ratio of rupee)×210(total coins)÷35(13+22 rupee numbers)
=78
13:22
13x+22x=35x
Hence,no'of 1 rupee coins
13÷35×210=78
And,no'of 50 paise conis
22÷35×210=132
Cross check
132+78=210Rs
13x+11x=210
24x=210
x=8.75
then 13*8.75=113.75~114 coins (But not expecting decimal points). Actually question is completely wrong.
A ratio can be applied between any types of different entities whom having same factors. But multiplying the ratio value to match the entity, is not a proper method. I again say review the question