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In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: A sum of Rs 110 is in the from of Rs. 2, Rs. 1 and 50 paise coins in the ratio of 1 : 2 : 3 respectively, how many 50 paise coins are there? Quantity B: A sum of the money was distributed among A, B, C and D in a proportion of 5 : 2 : 3 : 2 respectively. If C received Rs. 30 more than what D received, then what was B’s share?

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: A sum of Rs 110 is in the from of Rs. 2, Rs. 1 and 50 paise coins in the ratio of 1 : 2 : 3 respectively, how many 50 paise coins are there? Quantity B: A sum of the money was distributed among A, B, C and D in a proportion of 5 : 2 : 3 : 2 respectively. If C received Rs. 30 more than what D received, then what was B’s share? Correct Answer Quantity A = Quantity B or No relation

Quantity A: 

Total sum = Rs. 110

Ratio of coins of Rs. 2, Rs. 1 and 50 paise = 1 : 2 : 3

Ratio of rupees of Rs. 2, Rs. 1 and 50 paise = (2 × 1) : (1 × 2) : (3/2) = 4 : 4 : 3

Let the ratio of rupees of Rs. 2, Rs. 1 and 50 paise be 4x : 4x : 3x

According to the question

(4x + 4x + 3x) = 110

x = 10

Total rupees of 50 paise = 3x = 3 × 10 = Rs. 30

Total coins of 50 paise = 30 × 2 = 60

Quantity B:

Ratio of A, B, C and D = 5x : 2x : 3x : 2x

According to the question

⇒ 3x – 2x = 30

⇒ x = 30

⇒ 2x = 30 × 2 = 60

∴ Quantity A = Quantity B or No relation

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