Your questions is:
Divide the amount $650 among X, Y and Z such that X receives 1/3 of the amount what Y receives and Y receives 2/3 of the amount what Z receives. Calculate the amount received by X, Y and Z respectively.

It’s a very easy question for me please read my explanation of your question for better understanding.

According to the question,
Total amount = $650 …………………..i
Amount received by X = 1/3 of the amount received by Y ………….ii
Amount received by Y = 2/3 of the amount received by Z ………iii
We have to find the actual amount received by X, Y as well as Z.
Say the amount received by Z = 1.
∴ Amount received by Y = 2/3 * 1 = 2/3
And, from equation ii, we can say that,
Amount received by X = 1/3 (2/3) = 2/6.
∴ Ratios of the amount received by X, Y and Z respectively = 2/6:2/3:1 = 2:4:6
And, sum of the ratios = 2+4+6 = 12
∴ Amount received by X = (2/12) * 650 = 650/6 = $108.33 ………………iv
Amount received by Y = (4/12) * 650 = 650/3 = $216.66 ………..v
Amount received by Z = 6/12 * 650 = 650/2 = $325 ……………vi

So answer is :  $108.33, $216.66, $325

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Divide the integer 90 into two parts such that the second part is bigger than the first part by a value of 4. And the first part is equal to 7.

a. 1:90
b. 45:46
c. 7:11
d. 35:55
e. None of the above

Read my explanation of your question for better understanding.

Correct answer: d
Explanation:
According to  the question,

First part of the ratio = 7
Second part of the ratio is greater than the first part of the ratio by a value of 4.
Thus, second part of the ratio = 7+4 = 11.
Thus, we can write the ratio as 7:11
∴ Ratio of divisions = 7:11
And Sum of the ratios = 7 + 11 = 18
∴ We can calculate the first part as, 90*7/18= 630/18 = 35
Similarly, we can calculate the second part as, 90*11/18 = 990/18 = 55.

Hence, the correct answer is option d.

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Thanks for your questions.  Your question was – The average weight of 26 dogs was found to be 12.5 kg. When 1 more dog was added to this group, the average weight of the dogs was found to be 500gm more than the previous average weight. Find out the weight of the new dog that is added to the group.
Solvation:
According to he  question,
The average weight of 26 dogs = 12.5kg
∴ The total weight of 26 dogs = 26*12.5 = 325kg
When one more dog is added to this group the total number of dogs = 26+1 = 27.
The average weight of 27 dogs = 12.5kg+500gms = 13kg
∴ The total weight of 27 dogs = 27*13 = 351kg
∴ The weight of the new dog that is added to the group = 351 – 325 = 26kg.
.

I’m trying to solve your problem, Please let me know it is correct or not.

Your question was – Which of the following statements is false with respect to the values used to represent Roman Numbers?

According to your question, Correct answer is:  a

Question Explanation:

According to the rules established for writing the roman numbers,
Letter I represents a value of 1
Letter V represents a value of 5
Letter X represents a value of 10
Letter L represents a value of 50
Letter C represents a value of 100
Letter D represents a value of 500
Letter M represents a value of 1000
Hence, the correct answer is option a

Thanks. Please let me know it is correct or not.

Your Correct answer: d

Read  my Explanation:

Let ‘x’ be the total amount that is saved by Sam and divided between his wife, son and the two daughters.
According to the given question,

% of total amount received by son = 20 % ………i
∴ Amount received by his son = (20 * x)/100 = $ x/5 …….ii
% of total amount received by his wife = 35 % …….ii
∴ Amount received by his wife = (35/100) * (x – (x/5)) = $ 7x/4 ……..iii
% of total amount received by each of his daughter’s = (1/2) * (x – (x/5) – (7x/4))……………iv
But, it is given that, each of the two daughters receive an amount of $ 250.
∴ (1/2) * (x – (x/5) – (7x/4)) = 250
∴ 19x/20 = 250
∴ x = (250 * 20) / 19
∴ x = $263.15 ………………v
∴ Amount received by his wife = (35/100) * (x – (x/5)) = $ 7x/4 = (7 * 263.15) / 4
∴ Amount received by his wife = $460.5125
Hence, the correct answer is option d.

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Your Correct answer: c

I have solved this problem thus, you can read my Explanation for your better understanding:

According to the question,

The ratio of the number of boys and girls who appeared for the exam = 15:7 …..i
Hence, let the total number of boys = 15x …………..ii
And, the total number of girls = 7x ……………iii

It is also given that, the total % of girls who passed the exam = 65 % ……..iv
∴ Number of girls passing the examination = 7x * (65/100) = 4.55x …………v

It is also given that, the ratio of the number of boys and girls passing the exam = 3:2………….vi
∴ The number of boys who passed the exam = 3 * (4.55x) / 2 = 6.825x ………….vii
∴ % of boys passing the exam = (6.825x /15x) * 100 = 45.5 % ……..viii

Thus, 45.5% of the boys passed the examination.
Hence, the correct answer is option c.

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Thanks for your questions,
your problem is – Divide the number 395 into three different parts such that the second part is 25 % more than the first part and 20 % more than the third part.
Which answer is correct?
a . 125, 150, 120
b. 120, 125, 150
c. 120, 150, 125
d. 125, 120, 150
e. None of the above

Your Correct answer: c

Read this Explanation very carefully According to the question, Hope you will get clear Idea:

According to the  question,
Second part is 25 % more than the first part ………….i
Second part is 20 % more than the third part ………..ii
Let the third part = x …………iii
∴ The second part = x = 20 % of x
∴ The second part = x + (x/5) = 6x/5 = 1.20x …………iv
Similarly, the first part = 1.20x – 25 % of 1.20x
∴ The first part = 0.96x ………..v
But, the sum of all the three parts = 395 ………….vi
∴ From equations iii, iv, v and vi, we can say that,
x + 1.20x + 0.96x = 395
∴ x = 125 = third part
∴ Second part = 1.20 * x = 150
And, the first part = 0.96 * x = 120

Hence, the correct answer is option c

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Thanks you very much for your questions, Your questions is

If,
Discount 1 – 10 %, 20 %, 15 %,
Discount 2 – 20 %, 15 %, 10 %

Then

Which of the following discount scheme is better?

a. Discount 1 is better
b. Discount 2 is better
c. Both of them are equal
d. Both of them are unequal
e. None of the above

Solution:

Probably your Correct answer: c

Actually, this questions is also difficult for me. Moreover, I have tried to answer here. If you find any kind of mistake here, please let me know by comment.

Explanation:

Let the total amount be equal to 100.
Now, according to the first discount scheme,
After the first discount of 10 %, the amount = 90 ………i
∴ Discount = 10

After the second discount of 20 %, the amount = (20 * 90) / 100 = 72 ……..ii
∴ Discount = 18

And, after the third discount of 15 %, the amount = (15 * 72) / 100 = 61.2 ……iii
∴ Discount = 10.8

Hence, the total discount = 10 + 18 + 10.8 = 38.8 ………..iv

Now, according to the second discount scheme,
After the first discount of 20 %, the amount = 80 ………i
∴ Discount = 20

After the second discount of 15 %, the amount = (15 * 80) / 100 = 68 ……..ii
∴ Discount = 12

And, after the third discount of 10 %, the amount = (10 * 68) / 100 = 61.2 ……iii
∴ Discount = 6.8

Hence, the total discount = 20 + 12 + 6.8 = 38.8 ………..iv

∴ Both the discount schemes result in the same saving. Hence, both the discount
schemes are equal.

Hence, the correct answer is option c.

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Your Correct answer: b
Read this Explanation very carefully According to the question, Hope you will get clear Idea:
According to the question,
The ratio of the parts in which 1690 is divided = 1/2 : 1/3 : 1/4…………i
Let the actual numbers represented by the parts = a/2, a/3 and a/4 respectively ….…ii
Then, the sum of these parts = a/2 + a/3 + a/4 = 13a/12 …………….iii
But, according to the data given in the question, the actual number = 1690 …….iv
∴ From equation iii and equation iv, we can say that, 13a/12 = 1690 …………v
∴ a = (1690 * 12) / 13
∴ a = 1560
∴ The value of the first part = 1/2 * 1560 = 780
∴ The value of the second part = 1/3 * 1560 = 520
∴ The value of the third part = 1/4 * 1560 = 390
Hence, the correct answer is option b.

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Your Correct answer: a

Explanation:

Let the amount received by X, Y and Z be equal to x, y and z respectively.
∴ According to the question, 5x = 6x = 8x ………….i
Because it is given that 5 times of the amount that X receives, 6 times of the amount
that Y receives and 8 times of the amount that Z receives are one and the same.
The total amount = $ 1180
∴ We can say that, x + y + z = 1180 …………..ii
Using equation I and ii we can say that,
(x/24) + (y/20) + (z/15) = 1180/59
∴ x = $ 480
Y = $ 400
And z = $ 300
Hence, the correct answer is option a.

Thanks.

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