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Date November 2011 Marks available 4 Reference code 11N.1.sl.TZ0.11
Level SL only Paper 1 Time zone TZ0
Command term Calculate Question number 11 Adapted from N/A

Question

Kunal borrows 200 000 Indian rupees (INR) from a money lender for 18 months at a nominal annual interest rate of 15%, compounded monthly.

Calculate the total amount that Kunal must repay at the end of the 18 months. Give your answer to the nearest rupee.

Markscheme

A=200000(1+15100×12)1.5×12     (M1)(A1)

Note: Award (M1) for substituted compound interest formula, (A1) for correct substitutions.


=250115.4788 INR     (A1)

=250115 INR     (A1)     (C4)

Note: Award final (A1) for their answer correct to the nearest rupee.

[4 marks]

Examiners report

In part (b), some candidates simply worked out the interest earned. If a correct substitution into the correct formula was seen leading to 50115 then only one mark was lost. Whilst many correctly quoted formula were seen in part (b), an incorrect substitution (particularly poor or missing use of the factor 12) lost the next two marks and, whilst the final mark could be earned irrespective of incorrect working, many candidates either ignored the final demand or did not know how to give their answer to the nearest rupee.

Syllabus sections

Topic 1 - Number and algebra » 1.9 » Financial applications of geometric sequences and series: compound interest.
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