A and B together have Rs. 1210. If (4/15) of A equals (2/5) of B, how much does B have?

Problem restatement
Two amounts sum to Rs. 1210 and satisfy (4/15)A = (2/5)B. Find B.

Concept/Approach
Use the proportionality to express A in terms of B, then apply the total to solve for B.

Step-by-step calculation
(4/15)A = (2/5)B ⇒ multiply by 15: 4A = 6B ⇒ 2A = 3B ⇒ A = (3/2)BA + B = 1210 ⇒ (3/2)B + B = (5/2)B = 1210B = 1210 × (2/5) = Rs. 484

Verification/Alternative
A = (3/2) × 484 = 726; A + B = 726 + 484 = 1210; condition check: (4/15)A = 193.6, (2/5)B = 193.6.

Common pitfalls
Inverting the proportion (taking A = (2/3)B) or mishandling fraction arithmetic.

Final Answer
Rs. 484