Multiple choice

Pankaj invested a certain amount in three different schemes A, B, and C with the rate of interest 8% p.a., 10% p.a. and 12% p.a. respectively. If the total interest accrued in one year was Rs. 6560 and the amount invested in Scheme C was 140% of the amount invested in Scheme A and 175% of the amount invested in Scheme B, what was the amount invested in Scheme B?

  1. 12000

  2. 14000

  3. 16000

  4. 12500

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A=100x, then C=140% of A=140x. Also C=175% of B, so 140x=1.75B, B=80x. Interest: 8% of A + 10% of B + 12% of C = 6560. 8x + 8x + 16.8x = 6560. 32.8x=6560, x=200. B=80x=16000. Check: A=20000 (8%=1600), B=16000 (10%=1600), C=28000 (12%=3360). Total interest = 1600+1600+3360=6560. ✓

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