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

Correct Answer: A

Solution :

[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 \[=10000\times \frac{1}{4}=2500\]