Quantitative Aptitude Ques 1353

Question: Prakash lends a part of Rs. 20000 at 8% simple interest and remaining at $ \frac{4}{3}% $ simple interest. His total income after a year was Rs. 800. Find the sum lent at 8%.

Options:

A) Rs. 8000

B) Rs. 12000

C) Rs. 6000

D) Rs. 10000

Show Answer

Answer:

Correct Answer: A

Solution:

  • Here, P = Rs. 20000, SI = Rs. 800 and T = 1 yr Now, average rate at which the amount was invested $ \frac{SI\times 100}{P\times T}=\frac{800\times 100}{20000\times 1}=4% $ From alligation rule,

$ \therefore $ Sum lent at $ 8%=\frac{\frac{8}{3}}{\frac{8}{3}+4}\times 20000=\frac{\frac{8}{3}}{\frac{8+12}{3}}\times 20000 $ $ =\frac{8}{3}\times \frac{3}{20}\times 20000=Rs\text{. 8000} $