# If they divide the amount of money equally, how much does Mrs. Jain lose with this deal?

+1 vote
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On the market, Mrs. Jain and Mrs. Sharma sell apples. Mrs. Jain sells her apples per two for Rs 50. The apples of Mrs. Sharma are a bit smaller; she sells hers per three for Rs 50. At a certain moment, when both women have the same amount of apples left, Mrs. Sharma is being called away. She asks her neighbor to take care of her goods. To make everything not too complicated, Mrs. Jain puts all apples to one big pile, and starts selling them for Rs 100 per five apples. When Mrs. Sharma returns at the end of the day, all apples have been sold. However, when they start dividing the money, there appears to be a shortage of Rs 350.

Supposing they divide the amount of money equally, how much does Mrs. Jain lose with this deal?

posted May 13, 2014

Lets assume that they has 30 apples with each so
If they would have sold separately then
Mrs Jain would have made `15*50 = 750`
Mrs Sharma would have made `10*50 = 500`

Sold together i.e. `(30+30)/5 * 100 = 1200`

Total Loss: 50

Since total loss given is 350 so both have 210 apples each when they started the deal -

Now lets collect the total loss to Mrs Anju -
Total collection without the deal `175*50 = 8750`
Total collection with the deal for My Anju `[(350+350)/5] * 100 *.5 = 7000`

Total loss `8750 - 7000 = 1750`

–1 vote

What is the logic ???

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