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A gave 40% of his monthly salary to B. B spent 20% of this amount on taxi fare. He spent the remaining amount in the respective ratio of 3 : 5 on tuition fees and library membership. If he spent Rs 1720 for membership, what is A’s monthly salary?
- a)Rs 8500
- b)Rs 8600
- c)Rs 7600
- d)Rs 7500
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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A gave 40% of his monthly salary to B. B spent 20% of this amount on t...
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A gave 40% of his monthly salary to B. B spent 20% of this amount on t...
Let's assume A's monthly salary is x.
A gave 40% of his monthly salary to B, so B received (40/100)*x = 0.4x
B spent 20% of this amount on taxi fare, so he spent (20/100)*0.4x = 0.08x on taxi fare.
B spent the remaining amount on tuition fees and library membership.
The ratio of the amount spent on tuition fees to the amount spent on library membership is 3:5.
Let's assume the amount spent on tuition fees is 3y and the amount spent on library membership is 5y.
According to the question, B spent Rs 1720 on library membership, so 5y = 1720.
Therefore, y = 1720/5 = 344.
The amount spent on tuition fees is 3y = 3*344 = 1032.
So, B spent a total of 1032 + 1720 = 2752 on tuition fees and library membership.
Now, we know that the total amount B received from A is 0.4x.
We also know that B spent 0.08x on taxi fare and 2752 on tuition fees and library membership.
So, 0.4x - 0.08x = 2752.
Simplifying the equation, we get 0.32x = 2752.
Dividing both sides by 0.32, we get x = 2752/0.32 = 8600.
Therefore, A's monthly salary is Rs 8600. Answer: \boxed{8600}.
A gave 40% of his monthly salary to B, so B received (40/100)*x = 0.4x
B spent 20% of this amount on taxi fare, so he spent (20/100)*0.4x = 0.08x on taxi fare.
B spent the remaining amount on tuition fees and library membership.
The ratio of the amount spent on tuition fees to the amount spent on library membership is 3:5.
Let's assume the amount spent on tuition fees is 3y and the amount spent on library membership is 5y.
According to the question, B spent Rs 1720 on library membership, so 5y = 1720.
Therefore, y = 1720/5 = 344.
The amount spent on tuition fees is 3y = 3*344 = 1032.
So, B spent a total of 1032 + 1720 = 2752 on tuition fees and library membership.
Now, we know that the total amount B received from A is 0.4x.
We also know that B spent 0.08x on taxi fare and 2752 on tuition fees and library membership.
So, 0.4x - 0.08x = 2752.
Simplifying the equation, we get 0.32x = 2752.
Dividing both sides by 0.32, we get x = 2752/0.32 = 8600.
Therefore, A's monthly salary is Rs 8600. Answer: \boxed{8600}.
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A gave 40% of his monthly salary to B. B spent 20% of this amount on taxi fare. He spent the remaining amount in the respective ratio of 3 : 5 on tuition fees and library membership. If he spent Rs 1720 for membership, what is A’s monthly salary?a)Rs 8500b)Rs 8600c)Rs 7600d)Rs 7500e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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