Word Problem 15 (finding cost price for a sale price)

Problem 15: A person bought an article and sold it at a gain of 5%, Had he bought it at 5% less and sold it for Rs 1 less, he would have made a profit of 10%, Find the cost price of the article.

a. Rs 100                         b. Rs 150                           c. Rs 200                           d. Rs 500

Solution:

We suppose cost price = cp= Rs y

Given he earns profit of 5%

So, from there we can find sale price sp by formula

put values;

—————now come to the situation described ————-

Now if cp were to be 5% less then it would have been ;

and sp with Re 1 less would have been;

Then by given condition profit would have been earned 10% more of 5% less cost price, i-e

But we know

Put situational  values of  p, sp and cp

So, the option c is correct answer

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