Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-15

A sum of Rs. 7930 is divided into 3 parts and given on loan at 5% simple interest to A, B and C for 2 yr, 3 yr and 4 yr, respectively. If the amounts of all three are equal after their respective periods of loan, then A received a loan of

A) Rs. 2760

B) Rs. 3050

C) Rs. 2800

D) Rs. 2750

Correct Answer: A

Solution :

Let the principal with A, B and C be a, b and c, respectively.

Now, 110% of a = 115% of b = 120% of c = k [let]

So, \[a:b:c=\frac{1}{110}:\frac{1}{115}:\frac{1}{120}=\frac{1}{22}:\frac{1}{23}:\frac{1}{24}\]

\[a:b:c=23\times 24:22\times 24:22\times 23\]

\[=552:528:506\]

\[\therefore \] Loan received by \[A=\frac{23\times 24}{1586}\times 7930=2760\]