Multiple choice

A sum of Rs. 1,550 was partly lent at 5% and 8% p.a for three years. Interest earned for Rs. 1,550 which was partly lent at 5% and 8% p.a. was Rs. 300. The ratio of the money lent at 5% to that lent at 8% is

  1. 8 : 5

  2. 5 : 8

  3. 16 : 15

  4. 15 : 16
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the amount at 5% and (1550-x) at 8%. Interest = (x*5*3)/100 + ((1550-x)*8*3)/100 = 300. 15x + 37200 - 24x = 30000. 9x = 7200, x = 800. The other part is 750. Ratio 800:750 = 16:15.

AI explanation

Let the principal lent at 5 percent be x and the principal lent at 8 percent be 1550 - x. Using the simple interest formula for 3 years, the total interest equation is (x x 5 x 3)/100 + ((1550 - x) x 8 x 3)/100 = 300. Simplifying this gives 15x + 37200 - 24x = 30000, which means 9x = 7200 and x = 800. The second part is 1550 - 800 = 750, making the ratio of the money lent at 5 percent to that lent at 8 percent equal to 800 : 750, which simplifies to 16 : 15.

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