By mistake instead of dividing rupee 117 among A,B and C in the ratio 1/2:1/3:1/4,it was divided in the ratio 2:3:4. who gained the most and by how much
Answers
Answer:
The ratio which has taken by Mistake
It is divided in ratio 2:3:4
So let,2x+3x+4x=117
9x=117x=13
So because of A=2x
Value of A=2*13=26
Same as value of B=3*13=39
And value of C=4*13=52
So, C gained the most and and 13 by B and 26 by A
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Now, Original ratio
Orginal ratio of A, B and C
1/2:1/3:1/4= 6: 4 : 3 [ Divide by 12 ]
∴ Share of A = 6/13× 117 = ₹ 54
Share of B = 4/13× 117 = ₹ 36
and share of C = 3/13× 117 = ₹ 27
Therefore, it is clear from above calculation that C gains maximum i.e. ₹ (52-27) = Rs 25
AnswEr :
⋆ First we will calculate Mistake Ratio :
- A : B : C = 2 : 3 : 4
Let the ratios be 2x, 3x and 4x to be divided among A, B and C respectively.
• According to the Question Now :
⇒ A + B + C = Rs. 117
⇒ 2x + 3x + 4x = 117
⇒ 9x = 117
- Dividing both term by 9
⇒ x = 13
⋆ S H A R E S ⠀B Y ⠀M I S T A K E :
◗ A = 2x = 2(13) = Rs. 26
◗ B = 3x = 3(13) = Rs. 39
◗ C = 4x = 4(13) = Rs. 52
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⋆ Now we will calculate Original Ratio :
- A : B : C = 1/2 : 1/3 : 1/4
we will change this Ratio in whole, for that we will multiply each of them by 12 i.e. LCM(2, 3, 4).
- A : B : C = 1/2*12 : 1/3*12 : 1/4*12
- A : B : C = 6 : 4 : 3
Let the Ratios be 6x, 4x and 3x to be divided among A, B and C respectively.
• According to the Question Now :
⇒ A + B + C = Rs. 117
⇒ 6x + 4x + 3x = 117
⇒ 13x = 117
- Dividing both term by 13
⇒ x = 9
• O R I G I N A L ⠀S H A R E S :
◗ A = 6x = 6(9) = Rs. 54
◗ B = 4x = 4(9) = Rs. 36
◗ C = 3x = 3(9) = Rs. 27
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In Mistake Ratio we can see that C Gained the Most and by Rs. (52 - 27) = Rs. 25
∴ C Gained the most and by Rs. 25.
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