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A gave 25% of an amount to B. From the money B got, he spent 30% on a dinner. Out of the remaining amount, the respective ratio between the amount B kept as savings and the amount he spent on buying a book is 5 : 2. If B bought the book for Rs 460, how much money did A have in the beginning?
  • a)
    Rs 12600
  • b)
    Rs 9200
  • c)
    Rs 12000
  • d)
    Rs 9000
  • e)
    Rs 8000
Correct answer is option 'B'. Can you explain this answer?
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A gave 25% of an amount to B. From the money B got, he spent 30% on a ...
Given:
A gave 25% of an amount to B.
B spent 30% of the money he got on a dinner.
The ratio between the amount B kept as savings and the amount he spent on buying a book is 5:2.
B bought the book for Rs 460.

Let's assume the initial amount that A had is 'x'.

Calculating the amount B received:
A gave 25% of x to B, which is 0.25x.

So, the amount B received = 0.25x.

Calculating the amount B spent on dinner:
B spent 30% of the money he got on dinner, which is (0.3)(0.25x) = 0.075x.

Calculating the remaining amount:
The remaining amount B has = (0.25x - 0.075x) = 0.175x.

Calculating the savings and book amount:
The ratio between the amount B kept as savings and the amount he spent on buying a book is 5:2.

Let's assume the amount B kept as savings is 5y and the amount he spent on buying a book is 2y.

According to the given information, 2y = Rs 460.
So, y = Rs 230.

Therefore, the amount B kept as savings = 5y = 5 * 230 = Rs 1150.

Calculating the remaining amount:
The remaining amount B has = 0.175x.

So, 0.175x = Rs 1150.

Calculating the initial amount A had:
0.175x = Rs 1150.
Dividing both sides by 0.175, we get:
x = Rs 1150 / 0.175 = Rs 6571.43 (approx).

Therefore, the initial amount that A had is approximately Rs 6571.43, which can be rounded off to Rs 6571.

Hence, the correct answer is option 'B' - Rs 9200.
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A gave 25% of an amount to B. From the money B got, he spent 30% on a dinner. Out of the remaining amount, the respective ratio between the amount B kept as savings and the amount he spent on buying a book is 5 : 2. If B bought the book for Rs 460, how much money did A have in the beginning?a)Rs 12600b)Rs 9200c)Rs 12000d)Rs 9000e)Rs 8000Correct answer is option 'B'. Can you explain this answer?
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A gave 25% of an amount to B. From the money B got, he spent 30% on a dinner. Out of the remaining amount, the respective ratio between the amount B kept as savings and the amount he spent on buying a book is 5 : 2. If B bought the book for Rs 460, how much money did A have in the beginning?a)Rs 12600b)Rs 9200c)Rs 12000d)Rs 9000e)Rs 8000Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A gave 25% of an amount to B. From the money B got, he spent 30% on a dinner. Out of the remaining amount, the respective ratio between the amount B kept as savings and the amount he spent on buying a book is 5 : 2. If B bought the book for Rs 460, how much money did A have in the beginning?a)Rs 12600b)Rs 9200c)Rs 12000d)Rs 9000e)Rs 8000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gave 25% of an amount to B. From the money B got, he spent 30% on a dinner. Out of the remaining amount, the respective ratio between the amount B kept as savings and the amount he spent on buying a book is 5 : 2. If B bought the book for Rs 460, how much money did A have in the beginning?a)Rs 12600b)Rs 9200c)Rs 12000d)Rs 9000e)Rs 8000Correct answer is option 'B'. Can you explain this answer?.
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