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A sum of money is divided among 160 males and some females in the ratio 16:21. Individually each male gets Rs 4 and a female Rs 3. The number of females is
- a)280
- b)198
- c)284
- d)270
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A sum of money is divided among 160 males and some females in the rati...
Let number of females = F
Suppose 160 males get Rs 16k and F females get Rs 21k
∴ 160 x 4 = 16k
⇒ k = 40
∴ F females get Rs 840
∴ Number of females = 840/3 = 280
Suppose 160 males get Rs 16k and F females get Rs 21k
∴ 160 x 4 = 16k
⇒ k = 40
∴ F females get Rs 840
∴ Number of females = 840/3 = 280
Most Upvoted Answer
A sum of money is divided among 160 males and some females in the rati...
Given data:
- Sum of money divided among 160 males and some females
- Ratio of males to females = 16:21
- Amount received by each male = Rs 4
- Amount received by each female = Rs 3
We need to find the number of females.
Solution:
Let the total sum of money be Rs X.
According to the given ratio, the total number of parts = 16 + 21 = 37.
Hence, each part = X/37.
Amount received by each male = Rs 4.
Hence, the total amount received by 160 males = 160 × 4 = 640.
This amount is a part of the total sum of money.
Therefore, (16/37) × X = 640.
Simplifying the above equation, we get X = (640 × 37)/16 = 1480.
Amount received by each female = Rs 3.
Hence, the total amount received by all the females is (21/16) × 640 = 840.
Since each female received Rs 3, the number of females = 840/3 = 280.
Therefore, the number of females is 280, which is option (a).
HTML representation:
- Sum of money divided among 160 males and some females
- Ratio of males to females = 16:21
- Amount received by each male = Rs 4
- Amount received by each female = Rs 3
We need to find the number of females.
Solution:
Let the total sum of money be Rs X.
According to the given ratio, the total number of parts = 16 + 21 = 37.
Hence, each part = X/37.
Amount received by each male = Rs 4.
Hence, the total amount received by 160 males = 160 × 4 = 640.
This amount is a part of the total sum of money.
Therefore, (16/37) × X = 640.
Simplifying the above equation, we get X = (640 × 37)/16 = 1480.
Amount received by each female = Rs 3.
Hence, the total amount received by all the females is (21/16) × 640 = 840.
Since each female received Rs 3, the number of females = 840/3 = 280.
Therefore, the number of females is 280, which is option (a).
HTML representation:
Solution:
- Let the total sum of money be Rs X.
- Total number of parts = 16 + 21 = 37.
- Hence, each part = X/37.
- Amount received by each male = Rs 4.
- Total amount received by 160 males = 160 × 4 = 640.
- Therefore, (16/37) × X = 640.
- Simplifying the above equation, we get X = (640 × 37)/16 = 1480.
- Total amount received by all the females is (21/16) × 640 = 840.
- Hence, the number of females = 840/3 = 280.
- Therefore, the number of females is 280, which is option (a).
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A sum of money is divided among 160 males and some females in the ratio 16:21. Individually each male gets Rs 4 and a female Rs 3. The number of females isa)280b)198c)284d)270Correct answer is option 'A'. Can you explain this answer?
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