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A person had Rs.8400. He lent a part of it at 4% and the remaining at \( \Large 3\frac{1}{3} \)% simple interest. His total annual income was Rs.294. Find the sum he lent at 4%.

A) Rs.2310
B) Rs.2110
C) Rs.2500
D) Rs.2100

Correct Answer:




D) Rs.2100

Description for Correct answer:
SI on Rs.8400 for 1 yr = Rs.294

Therefore, Rate of interest \( \Large \frac{100 \times 294}{8400 \times 1} = \frac{7}{2}

= 3\frac{1}{2} \)%

According to the rule of allegation,

Rate I Rate II (4%) ( 10/3%)

Rate I (4%) : Rate Il (12%) = \( \Large \frac{1}{6} \) : \( \Large \frac{1}{2} \) = 1 : 3

Therefore, Money lent at 4% = \( \Large \frac{1}{4} \times 8400 \) = Rs.2100

Part of solved Mixture and Allegation questions and answers : >> Aptitude >> Mixture and Allegation

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