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10 Aug 2024, 13:45
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
56% (03:03) correct
44%
(02:59)
wrong
based on 115
sessions
History
Date
Time
Result
Not Attempted Yet
Sonu decides to distribute 2727 apples among Tina, Mina and Dika. He intends to distribute the apples, such that 5 times of what Tina gets, 4 times of what Mina gets and 9 times of what Dika gets are all equal. But by mistake, he distributed the apples in the ratio 4 : 3 : 2 among Tina, Mina, and Dika respectively. Due to this mistake, how many less apples did Mina get as compared to what he should have got?
A. 303
B. 306
C. 315
D. 324
E. 333
A. 303
B. 306
C. 315
D. 324
E. 333
13 Aug 2024, 06:36
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First, let's find out how the apples should have been distributed.
Let's say Tina gets x apples Then, Mina gets 5x/4 apples (because 5x = 4(5x/4))
And Dika gets 5x/9 apples (because 5x = 9(5x/9))
The total number of apples: x + 5x/4 + 5x/9 = 2727 => (36x + 45x + 20x) / 36 = 2727 => 101x / 36 = 2727 => 101x = 2727 * 36 => x = (2727 * 36) / 101 = 972
So, the correct distribution should have been:
Tina: 972
Mina: 5x/4 = (5 * 972) / 4 = 1215
Dika: 5x/9 = (5 * 972) / 9 = 540
Now, let's see how the apples were distributed in the ratio 4 : 3 : 2
Total parts = 4 + 3 + 2 = 9
Tina got: (4/9) * 2727 = 1212
Mina got: (3/9) * 2727 = 909
Dika got: (2/9) * 2727 = 606
The question asks how many less apples Mina got compared to what she should have got.
ina should have got: 1215 Mina actually got: 909 Difference: 1215 - 909 = 306Therefore, Mina got 306 less apples than she should have.
The correct answer is B. 306.
Let's say Tina gets x apples Then, Mina gets 5x/4 apples (because 5x = 4(5x/4))
And Dika gets 5x/9 apples (because 5x = 9(5x/9))
The total number of apples: x + 5x/4 + 5x/9 = 2727 => (36x + 45x + 20x) / 36 = 2727 => 101x / 36 = 2727 => 101x = 2727 * 36 => x = (2727 * 36) / 101 = 972
So, the correct distribution should have been:
Tina: 972
Mina: 5x/4 = (5 * 972) / 4 = 1215
Dika: 5x/9 = (5 * 972) / 9 = 540
Now, let's see how the apples were distributed in the ratio 4 : 3 : 2
Total parts = 4 + 3 + 2 = 9
Tina got: (4/9) * 2727 = 1212
Mina got: (3/9) * 2727 = 909
Dika got: (2/9) * 2727 = 606
The question asks how many less apples Mina got compared to what she should have got.
ina should have got: 1215 Mina actually got: 909 Difference: 1215 - 909 = 306Therefore, Mina got 306 less apples than she should have.
The correct answer is B. 306.
16 Sep 2024, 08:32
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siddhantvarma
can someone explain what happened in the first part i dont get it at all
Posted from my mobile device
16 Sep 2024, 08:58
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Bunuel
We are given that:
5T = 4M = 9D
T : M = 4 : 5 = 36 : 45
T : D = 9 : 5 = 36 : 20
Thus:
T : M : D = 36 : 45 : 20
Now, solving for the total:
36x + 45x + 20x = 2,727
x = 27
So, Mina should have received:
M = 45x = 45*27 = 1,215
However, due to the mistake, Mina actually received 3/9 of 2,727 (since the ratio was 4 : 3 : 2), which is:
3/9 of 2,727 = 909.
Therefore, the difference between what Mina should have received and what she actually got is:
1,215 - 909 = 306.
Answer: B.
