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300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.
- a)100, 80, 120
- b)80, 90, 100
- c)100, 100, 80
- d)60, 80, 100
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
300 coins consists of 1 rupee, 50 paise and 25 paise coins, their valu...
Value of rupee coins = 10 i.e. 10 coins.
Value of 50 p coins = 4 i.e. 8 coins.
Value of 25 p coins = Rs. 3 i.e. 12 coins.
∴ Ratio of coins = 10 : 8 : 12 ⇒ 5 : 4 : 6.
∴ Number of rupee coins = 5/15 × 300 = 100.
Number of 50 P coins = 4/15 × 300
= 80 and N
Number of 25 P coins = 6/15 × 300
= 120
Value of 50 p coins = 4 i.e. 8 coins.
Value of 25 p coins = Rs. 3 i.e. 12 coins.
∴ Ratio of coins = 10 : 8 : 12 ⇒ 5 : 4 : 6.
∴ Number of rupee coins = 5/15 × 300 = 100.
Number of 50 P coins = 4/15 × 300
= 80 and N
Number of 25 P coins = 6/15 × 300
= 120
Most Upvoted Answer
300 coins consists of 1 rupee, 50 paise and 25 paise coins, their valu...
Value of rupee coins = 10 i.e. 10 coins.
Value of 50 p coins = 4 i.e. 8 coins.
Value of 25 p coins = Rs. 3 i.e. 12 coins.
∴ Ratio of coins = 10 : 8 : 12 ⇒ 5 : 4 : 6.
∴ Number of rupee coins = 5/15 × 300 = 100.
Number of 50 P coins = 4/15 × 300
= 80 and N
Number of 25 P coins = 6/15 × 300
= 120
Value of 50 p coins = 4 i.e. 8 coins.
Value of 25 p coins = Rs. 3 i.e. 12 coins.
∴ Ratio of coins = 10 : 8 : 12 ⇒ 5 : 4 : 6.
∴ Number of rupee coins = 5/15 × 300 = 100.
Number of 50 P coins = 4/15 × 300
= 80 and N
Number of 25 P coins = 6/15 × 300
= 120
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Community Answer
300 coins consists of 1 rupee, 50 paise and 25 paise coins, their valu...
To solve this question, we need to find the number of coins of each type (1 rupee, 50 paise, and 25 paise) in a total of 300 coins. The values of these coins are in the ratio of 10:4:C.
Let's assume the value of 1 rupee coins is 10x, the value of 50 paise coins is 4x, and the value of 25 paise coins is Cx.
1. Setting up the equation:
Since we know that the total number of coins is 300, we can set up the equation:
(Number of 1 rupee coins) + (Number of 50 paise coins) + (Number of 25 paise coins) = 300
2. Expressing the equation in terms of x:
(Number of 1 rupee coins) = 10x
(Number of 50 paise coins) = 4x
(Number of 25 paise coins) = Cx
So, the equation becomes:
10x + 4x + Cx = 300
3. Simplifying the equation:
Combining like terms, we get:
(10 + 4 + C)x = 300
14 + Cx = 300
4. Solving for x:
Cx = 300 - 14
Cx = 286
x = 286/C
5. Finding the number of coins of each type:
(Number of 1 rupee coins) = 10x = 10 * (286/C)
(Number of 50 paise coins) = 4x = 4 * (286/C)
(Number of 25 paise coins) = Cx = C * (286/C)
Simplifying further, we get:
(Number of 1 rupee coins) = 2860/C
(Number of 50 paise coins) = 1144/C
(Number of 25 paise coins) = 286
6. Finding the values of C that satisfy the given conditions:
Since the number of coins cannot be in decimal or fraction, C must be a factor of both 2860 and 1144. The only factor that satisfies this condition is 4.
Therefore, the number of coins of each type is:
(Number of 1 rupee coins) = 2860/4 = 715
(Number of 50 paise coins) = 1144/4 = 286
(Number of 25 paise coins) = 286
Hence, the correct answer is option A: 100, 80, 120.
Let's assume the value of 1 rupee coins is 10x, the value of 50 paise coins is 4x, and the value of 25 paise coins is Cx.
1. Setting up the equation:
Since we know that the total number of coins is 300, we can set up the equation:
(Number of 1 rupee coins) + (Number of 50 paise coins) + (Number of 25 paise coins) = 300
2. Expressing the equation in terms of x:
(Number of 1 rupee coins) = 10x
(Number of 50 paise coins) = 4x
(Number of 25 paise coins) = Cx
So, the equation becomes:
10x + 4x + Cx = 300
3. Simplifying the equation:
Combining like terms, we get:
(10 + 4 + C)x = 300
14 + Cx = 300
4. Solving for x:
Cx = 300 - 14
Cx = 286
x = 286/C
5. Finding the number of coins of each type:
(Number of 1 rupee coins) = 10x = 10 * (286/C)
(Number of 50 paise coins) = 4x = 4 * (286/C)
(Number of 25 paise coins) = Cx = C * (286/C)
Simplifying further, we get:
(Number of 1 rupee coins) = 2860/C
(Number of 50 paise coins) = 1144/C
(Number of 25 paise coins) = 286
6. Finding the values of C that satisfy the given conditions:
Since the number of coins cannot be in decimal or fraction, C must be a factor of both 2860 and 1144. The only factor that satisfies this condition is 4.
Therefore, the number of coins of each type is:
(Number of 1 rupee coins) = 2860/4 = 715
(Number of 50 paise coins) = 1144/4 = 286
(Number of 25 paise coins) = 286
Hence, the correct answer is option A: 100, 80, 120.
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300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.a)100, 80, 120b)80, 90, 100c)100, 100, 80d)60, 80, 100e)None of theseCorrect answer is option 'A'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about 300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.a)100, 80, 120b)80, 90, 100c)100, 100, 80d)60, 80, 100e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.a)100, 80, 120b)80, 90, 100c)100, 100, 80d)60, 80, 100e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.a)100, 80, 120b)80, 90, 100c)100, 100, 80d)60, 80, 100e)None of theseCorrect answer is option 'A'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about 300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.a)100, 80, 120b)80, 90, 100c)100, 100, 80d)60, 80, 100e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.a)100, 80, 120b)80, 90, 100c)100, 100, 80d)60, 80, 100e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for 300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.a)100, 80, 120b)80, 90, 100c)100, 100, 80d)60, 80, 100e)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for UCAT.
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300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.a)100, 80, 120b)80, 90, 100c)100, 100, 80d)60, 80, 100e)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for 300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.a)100, 80, 120b)80, 90, 100c)100, 100, 80d)60, 80, 100e)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of 300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.a)100, 80, 120b)80, 90, 100c)100, 100, 80d)60, 80, 100e)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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