P, Q, and R started a business with capitals in ratio 1:2:4. After 4 months, R withdrew 50% of his capital. After another 2 months, Q withdrew 25% of his capital. The business continued for 12 months total. Total profit is ₹2,40,000. Find profit ratio P : Q : R.

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1. Let capitals be $P=1x$, $Q=2x$, $R=4x$.  
2. P runs 12 months: $1x	imes12=12x$.  
3. Q runs 6 months at $2x$ and 6 months at $1.5x$: $2x	imes6+1.5x	imes6=12x+9x=21x$.  
4. R runs 4 months at $4x$ and 8 months at $2x$: $4x	imes4+2x	imes8=16x+16x=32x$.  
5. Ratio $P:Q:R=12:21:32$.  
FINAL_ANSWER: c

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