In an experiment four quantities a, b, c and d are measured

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In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively.
Quantity P is calculated as follows P = a³ b² % error in P is :
cd

1. 10%
2. 7%
3. 4%
4. 14%

Correct Option: D

P =

a³ b²

,

∆P

× 100% = 3

∆a

× 100% + 2

∆b

× 100% +

∆c

× 100% +

∆d

× 100%

cd

P

a

b

c

d

= 3 × 1% + 2 × 2% + 3% + 4% = 14%