Mina has an amount of Rs 6X and she invested 1/3rd of amount in two different schemes A and B in the ratio of 3:2 respectively. From remaining, she paid Rs 2400 to her maid and remaining Rs P he invested in post office. If X : P = 5 : 16, then which of the following statement/s is or are correct?

1. Amount invested in scheme B is more than the amount invested in post office.
2. Amount spend on maid is more than the amount spend on scheme A
3.  Amount invested in scheme B equal to Amount spend on maid

Calculation:

Total amount 6X.

Invest in scheme A is 6X × (1/3) × ( 3/5) = 1.2X

Invest in scheme B is 6X × (1/3) × (2 /5 ) =0.8X

Remaining amount 6X -2X = 4X

Amount given to maid = Rs 2400 

Amount invest in Post office [ 4X – 2400] =P = 16X/5

Or, 20x – 12000 = 16X

Or, 4X = 12000

Or, X = 3000

Invest in scheme A is

⇒ 1.2 × 3000 = 3600

Invest in scheme B is

⇒  0.8 ×  3000 = 2400

Amount invest in post office

⇒ 4 × 3000 – 2400 = 9600

Now,

1)Amount invested in scheme B is more than the amount invested in post office.

Invest in scheme B is = 2400

Amount invest in post office = 9600

It is false.

2) Amount spend on maid is more than the amount spend on scheme A. 

Amount given to maid = Rs 2400 

Invest in scheme A is = 3600

It is false.

3) Amount invested in scheme B equal to Amount spend on maid.

Amount given to maid = Rs 2400 

Invest in scheme B is = 2400

It is true.

Hence the only statement III is correct.