X lent ₹6,000 to Y for 3 years and ₹4,000 to Z for 2 years, both at the same simple interest rate. In total, he received ₹2,000 as interest from both. What is the rate of interest per annum(nearest integer)?

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1. Write the simple interest sum: $6000	imes r	imes3/100 + 4000	imes r	imes2/100 = 2000$.

2. Factor out $r/100$: $\dfrac{r}{100}(6000	imes3 + 4000	imes2)=2000$ so $\dfrac{r}{100}	imes26000=2000$.

3. Solve for $r$: $260r=2000$, so $r=\dfrac{2000}{260}=\dfrac{100}{13}\approx7.692\%$.

4. Nearest whole percent is **8%**.

FINAL_ANSWER: a

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