# 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

A. 65

B. 66

C. 77

D. 78

**Answer: Option D **

__Solution(By Examveda Team)__

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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## Comments ( 18 )

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If you convert paise into rupee how can you multiply by 2 ? it should be 11/2. it means 50/50 paise make one rupee or one coin.

rupee 13 : 0.50 paisa 11

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

2 nos of 50 paisa is 1 rupee likewise 1 nos of 1 rupee is 1 rupee

:.-13*(1)

11*(2)

Let,, 1 paisa rupee and .50 poisa rupee are x respectively

ATQ

13x*1+11x/.5=210

X=210/35

=>13*210/35=78

50paisa 2

Two 5oty paisa make one rupee ms

11 is multipled by 2 because 11 is paisha not rupee.after multiplying 11 has become rupee

The above question is wrong

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)

Total coins-210

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

please explain properly its fully ???????

Ratio of 2 values must have same unit ..so we multiplied by 2 we get RS .

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

This is not the correct method of this because I don't understand why 11 is multiplied by 2???

Please explain this question

i didnt understand the formula

The solution is completely hypothetical.. Why we need to multiply 50 paise coin value by 2

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

@sailent ratio of two values must have same unit. so inorder to make 50paise into rupee we multiply by 2 (2*50paise = 1rupee)

Question just asked about number of one rupee coine then why 11*2?

to make 50 paise to 1 re.we multiply 11*2

Why multiply 11*2 I don't understand please anybody help me