Multiple choice

Raman lends 40% of his sum of money at 15% per annum, 50% of rest at 10% per annum and the rest at 18% per annum rate of interest. What would be annual rate of interest, if the interest is calculated on the whole sum? रमण अपनी राशि का 40%, 15% वार्षिक ब्याज की दर से, शेष का 50%, 10% वार्षिक ब्याज की दर से और शेष को 18% वार्षिक ब्याज की दर से देता है | वार्षिक ब्याज की दर क्या है यदि ब्याज को पूरी राशि पर गणित किया जाय ?

  1. 13.4%

  2. 14.33%

  3. 14.4%

  4. 13.33%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total sum be Rs.100. 40% at 15% gives Rs.6 interest. Remaining 60%: 50% of this (30% of total) at 10% gives Rs.3 interest. Rest (30% of total) at 18% gives Rs.5.4 interest. Total interest = 6 + 3 + 5.4 = Rs.14.4 on Rs.100, which is 14.4%. Options A (13.4%), B (14.33%), and D (13.33%) are calculation errors.

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