Discussion

Explanation:

Let f kg be the free luggage allowance and let Raja and Praja have r kg and p kg excess luggage respectively.

Let x be the fixed rate per kg for excess luggage.

∴ 2f + r + p = 60   ... (i)

rx = 1200   ... (ii)

px = 2400   ... (iii)

(60 – f)x = 5400   ... (iv)

From (ii) and (iii),

p = 2r    ... (v)

Substituting in (i),

2f + 3r = 60

∴ f = 30 – 3r/2    ... (vi)

Substituting in (iv),

(60 – 30 + 3r/2)x = 5400

∴ 30x + 3rx/2 = 5400

From (ii),

rx = 1200

∴30x = 3600

∴ x = 120

∴ r = 10, p = 20 and f = 15

∴ Weight of Praja's luggage = p + f = 35 kg

Hence, option (d).

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