A certain amount of money was divided among Pinu, Meena, Rinu and Seema. Pinu received 20% of the total amount and Meena received 40% of the remaining amount. If Seema received 20% less than Pinu, the ratio of the amounts received by Pinu and Rinu is

The correct option is 5:8.

Let us solve this step-by-step by assuming the total amount of money divided among Pinu, Meena, Rinu, and Seema is $X$.

Step 1: Calculate the amount received by Pinu
Pinu received 20% of the total amount.
$\text{Amount received by Pinu}=0.20\times X=0.20X$

Step 2: Calculate the remaining amount after Pinu's share
$\text{Remaining amount}=X-0.20X=0.80X$

Step 3: Calculate the amount received by Meena
Meena received 40% of the remaining amount.
$\text{Amount received by Meena}=0.40\times 0.80X=0.32X$

Step 4: Calculate the amount received by Seema
Seema received 20% less than Pinu.
$\text{Amount received by Seema}=0.20X-(0.20\times 0.20X)=0.20X-0.04X=0.16X$

Step 5: Calculate the amount received by Rinu
The sum of the amounts received by all four individuals equals the total amount $X$.
$\text{Pinu}+\text{Meena}+\text{Seema}+\text{Rinu}=X$
$0.20X+0.32X+0.16X+\text{Rinu}=X$
$0.68X+\text{Rinu}=X$
$\text{Amount received by Rinu}=X-0.68X=0.32X$

Step 6: Find the ratio of the amounts received by Pinu and Rinu
$\text{Ratio}=\frac{\text{Pinu's amount}}{\text{Rinu's amount}}=\frac{0.20X}{0.32X}=\frac{20}{32}$
Dividing the numerator and the denominator by their greatest common divisor, 4:
$\text{Ratio}=\frac{5}{8}$

Thus, the ratio of the amounts received by Pinu and Rinu is 5:8.