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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

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

This Question Belongs to Arithmetic Ability >> Ratio

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Comments ( 18 )

  1. ROSHAN RAI
    ROSHAN RAI :
    1 year ago

    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.

  2. Muhammad Umair
    Muhammad Umair :
    2 years ago

    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

  3. Meera Murali
    Meera Murali :
    3 years ago

    2 nos of 50 paisa is 1 rupee likewise 1 nos of 1 rupee is 1 rupee
    :.-13*(1)
    11*(2)

  4. Al Masud
    Al Masud :
    3 years ago

    Let,, 1 paisa rupee and .50 poisa rupee are x respectively
    ATQ
    13x*1+11x/.5=210
    X=210/35
    =>13*210/35=78

  5. Himanshu Das
    Himanshu Das :
    3 years ago

    50paisa 2
    Two 5oty paisa make one rupee ms

  6. Md Hossain
    Md Hossain :
    3 years ago

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

  7. Darling Mahee
    Darling Mahee :
    3 years ago

    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)

  8. Jgcr Cngh
    Jgcr Cngh :
    3 years ago

    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

  9. Aatish Ghate
    Aatish Ghate :
    3 years ago

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

  10. Rakshi Rakshitha
    Rakshi Rakshitha :
    3 years ago

    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

  11. All Movies
    All Movies :
    4 years ago

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

  12. Dinesh Kumar
    Dinesh Kumar :
    4 years ago

    Please explain this question

  13. Srishti BM
    Srishti BM :
    4 years ago

    i didnt understand the formula

  14. Arivom Aaiyram
    Arivom Aaiyram :
    4 years ago

    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

  15. Hema Barbie
    Hema Barbie :
    4 years ago

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

  16. Rahul Gargvanshi
    Rahul Gargvanshi :
    5 years ago

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

  17. Naveen Verma
    Naveen Verma :
    6 years ago

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

  18. Sailent Suting
    Sailent Suting :
    6 years ago

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

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