₹800 is lent at a certain rate of simple interest. After 4 months, another ₹1200 is lent at a rate which is twice the original rate. If the total simple interest after 1 year is ₹96, find the original rate.

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Accepted Answer

1. Interest on ₹800 for 1 year at rate $r\%$: $800	imes r/100=8r$.  
2. ₹1200 is lent after 4 months, so for 8 months at rate $2r\%$: $1200	imes 2r/100	imes	frac{8}{12}=16r$.  
3. Total interest $=8r+16r=24r$. This equals ₹96, so $24r=96$.  
4. Solve: $r=96/24=4$. So the original rate is **4%** (option **a**).  
FINAL_ANSWER: a

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