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Mixture and Allegation
A man lends Rs. 2000 for 3 years. A part he lends on 5% and the rest on 7% and receivesRs.330 as interest. How much money he lent on each case.
A) Rs.500, Rs.1500
B) Rs.400, Rs.1600
C) Rs.700, Rs.1300
D) Rs 600, Rs.1400
Correct Answer:
A) Rs.500, Rs.1500
Description for Correct answer:
Interest on whole money at 5% rate = \( \Large \frac{2000 \times 5 \times 3}{100} = Rs.300 \)
Interest on whole money at 7% rate =\( \Large \frac{2000 \times 7 \times 3 }{100} = 420\)
Actual Interests Rs.330
Ratio: 330-300 : 420-330.
30 : 90
1 : 3
D'ividing Rs.2000 in 1:3 ratio, we get .
Amount lent on 5% = \( \Large 2000 \times \frac{1}{4} \) = Rs.500
Amount lent on 7% = \( \Large 2000 \times \frac{3}{4} \) = Rs.1500
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