• # question_answer A person takes a loan of Rs.10, 000 partly from a bank at 8% p.a. and remaining from another bank at 10% p.a. He pays a total interest of Rs. 950 per annum. Amount of loan taken from The first bank (in Rs.) is A)  2500    B)  5200 C)  2050                D)  5020

[a] If the amount of loan taken from the first bank be Rs.x, then $\frac{x\times 8\times 1}{100}+\frac{(10000-\,x)\times 10}{100}=950$ $\Rightarrow \,\,\,8x+100000-\,10x=95000$ $\Rightarrow \,\,\,2x=100000-\,95000=5000$ $\Rightarrow x=Rs.\,\,2500$ Alternate Method: Final rate or interest $=\frac{950\times 100}{10000}=9.5%$using allegation method First amount : Second amount =1 : 3 Received amount $=10000\times \frac{1}{4}=2500$