word Problem 10 (Profit for new price and cost price)

Problem 10: A man sold his watch at loss of 5%. He had sold it for Rs 56.25 more he would have gained 10%. Find the cost price of the watch.

a. Rs 300                   b. Rs 375                  c.Rs 400               d. Rs 200

Solution:

We suppose cost price as ‘y’

Loss was 5% of CP

But fromula for loss is

So his sale price was 19y/20

Now come to the situation as wished in the question

If had he sold  it with more 56.25 Rs then sale price would have been 19y/20+56.25 Rs

i-e

Wished sale price;

and in this case he would have earned profit of 10% of his CP

Wished profit;

But formula for profit is

So, the cost price for the watch is Rs 375

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