Two friends A and B have a total amount of ₹ 1,200. If 7/12th of A's amount is…
2017
Two friends A and B have a total amount of ₹ 1,200. If 7/12th of A's amount is the same as 25% of B's amount, how much amount does B have?
- A.
₹ 360
- B.
₹ 480
- C.
₹ 840
- D.
₹ 960
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Correct answer: C
Let A and B represent the amounts that friends A and B have, respectively. We know that A + B = ₹1,200. Also, 7/12 of A's amount equals 25% of B's amount. This gives us the equation: (7/12)A = 0.25B.
Rewriting 0.25 as a fraction, we get: (7/12)A = (1/4)B. Solving for A, we find: A = (12/7) × (1/4)B = (3/7)B.
Substitute A = (3/7)B into the total amount equation: (3/7)B + B = 1,200. This simplifies to (10/7)B = 1,200.
Solving for B: B = 1,200 × (7/10) = ₹840. Therefore, B has ₹840.