Question

Arjun invested certain amount of money in three different schemes X, Y and Z with the rate of interest 20%, 25% and 35% respectively. The total interest accrued in one year was Rs. 3200 and the amount invested in scheme Z was 180% of the amount invested in scheme X and 250% of the amount invested in scheme Y.
What was the amount invested in scheme Y?

• A. 3068
• B. 2281
• C. 3268
• D. 2355
• E. 2897

Answer 1

The correct option is B

2281

Let p, q and r be the amounts invested in schemes X, Y and Z respectively.

$\left(\frac{p\times 20\times 1}{100}\right)+\left(\frac{q\times 25\times 1}{100}\right)+\left(\frac{r\times 35\times 1}{100}\right)=3200$

$4p+5q+7r=64000$

$R=250\%ofq=\frac{5}{2}q$

$R=180\%ofp=\frac{9}{5}q$

$P$ = $\frac{5}{9}\times \frac{5}{2}\times q=\frac{25}{18}q$

$\left(\frac{50}{9}\right)q+5q+\left(\frac{35}{2}\right)q=64000$

$q=2281.19$