Question

Divide Rs. $793$ into three parts such that their amounts after $2,3$ and $4$ years may be equal, the rate of interest being $5\%$. The ratio between these parts will be

• A. $10:15:20$
• B. $110:115:120$
• C. $\frac{1}{10}:\frac{1}{15}:\frac{1}{20}$
• D. $\frac{1}{110}:\frac{1}{115}:\frac{1}{120}$

Answer 1

The correct option is D $\frac{1}{110}:\frac{1}{115}:\frac{1}{120}$

$x,y,z\text{are three parts of amount}$

Amt $=x(1+\frac{5\times 2}{100})=y(1+\frac{5\times 3}{100})=z(1+\frac{5\times 4}{100})$
$=x\cdot \frac{11}{10}=y\cdot \frac{23}{20}=z\cdot \frac{6}{5}$
$⟹x:y:z=\frac{10}{11}:\frac{20}{23}:\frac{5}{6}=\frac{1}{110}:\frac{1}{115}:\frac{1}{120}$