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.

To make the calculations easy, let us assume the total amount of money to be divided among the four people is 100 units. We will break down the distribution step-by-step.

Step 1: Calculate Pinu's share
The problem states that Pinu received 20% of the total amount.
Pinu's amount = 20% of 100 = 20 units.

Step 2: Calculate Meena's share
First, we must find the remaining amount after Pinu's share has been taken out:
Remaining amount = Total amount - Pinu's amount = 100 - 20 = 80 units.
Next, the problem states that Meena received 40% of this remaining amount.
Meena's amount = 40% of 80
Meena's amount = $\frac{40}{100}\times 80$ = 32 units.

Step 3: Calculate Seema's share
Seema received 20% less than Pinu. Since Pinu received 20 units, we need to subtract 20% of 20 from Pinu's total.
Seema's amount = 20 - (20% of 20)
Seema's amount = 20 - $(\frac{20}{100}\times 20)$
Seema's amount = 20 - 4 = 16 units.

Step 4: Calculate Rinu's share
The amount Rinu received is simply whatever is left over from the total after Pinu, Meena, and Seema have taken their shares.
Rinu's amount = Total - (Pinu + Meena + Seema)
Rinu's amount = 100 - (20 + 32 + 16)
Rinu's amount = 100 - 68 = 32 units.

Step 5: Find the ratio of Pinu's share to Rinu's share
From our calculations, Pinu received 20 units and Rinu received 32 units.
Ratio of Pinu's amount to Rinu's amount = 20 : 32.
To simplify this ratio, we can divide both numbers by their greatest common divisor, which is 4.
Ratio = $\frac{20}{4}$ : $\frac{32}{4}$ = 5 : 8.

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