Ram has 15 toffees, 10 biscuits and 5 chocolates. He gave one-third toffees to Sohan and half of the biscuits to Mohan. Sohan exchanged all toffees with Mohan against two biscuits. Mohan gave the remaining biscuits to Ram to get two chocolates. How many biscuits will be left with Ram, if he gives half of the biscuits, in the end, to Sohan?

Correct option is B

Given:

Ram has 15 toffees, 10 biscuits, and 5 chocolates.

Ram gave one-third of his toffees to Sohan.

Ram gave half of his biscuits to Mohan.

Sohan exchanged all his toffees with Mohan for two biscuits.

Mohan gave his remaining biscuits to Ram for two chocolates.

Ram gave half of his final biscuit count to Sohan.

Solution:

Ram gives to Sohan and Mohan:

Toffees to Sohan: $$\frac{15 } 3$$​= 5 toffees

Biscuits to Mohan: $$\frac {10 } 2$$​= 5 biscuits

Sohan's exchange with Mohan:

Sohan gives 5 toffees to Mohan.

Mohan gives 2 biscuits to Sohan.

Mohan gives remaining biscuits to Ram for chocolates:

Mohan had 5 biscuits and gave 2 to Sohan, so he has 5 - 2 = 3 biscuits left.

Mohan gives these 3 biscuits to Ram.

Ram gives 2 chocolates to Mohan.

Ram's items after the exchanges:

Toffees: 15 - 5 = 10

Biscuits: 10 - 5 + 3 = 8

Chocolates: 5 - 2 = 3

Ram gives half of his biscuits to Sohan:

Biscuits given to Sohan: $$\frac 8 2$$​= 4

Biscuits remaining with Ram: 8 - 4 = 4

Therefore, Ram will be left with 4 biscuits.