Instructions

Study the following graphs to answer these questions.

The bar graph below shows the revenue generated by six banks during 2016. The pie chart shows the percentage distribution of revenue earned through different modes.
Interest earned through - Business Loans (P), Home Loans (Q), Personal Loans (R), Auto Loans (S), deposits in other financial institute (T), Changes for providing services (U) and Others (V).

Question 129

Bank B and F earn interest by depositing their amounts in the financial institutes X, Y and Z. B earns interest from them in the ratio 2 : 3 : 1 and F in the ratio 4 : 3 : 3. By what percent F's earning from X is more/less than B's earning from X?

Solution
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We know the revenue and the split of revenue, we get the following table. 

Deposits in Other financial institutions is T. We see that T for B is 62.7 and T for F is 67.1

F is in the ratio 4:3:3 for the three financial institutions 
B is in the ratio 2:3:1 for the three financial institutions. 

We can say that the interest ratio for each of the three institutions is the same for both banks B and F. 

So, we need to find the percentage difference in the principal amount that Is invested. 

F it is 4/10 of the 67.1; this equals 26.84
B it is 1/3 of the 62.7; this equals 20.9

F's earnings will be more than B's by, $$\frac{26.81-20.9}{20.9}\times\ 100=28.42\%$$


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