Question 66

A sold an article for ₹1495 at a profit of 15%. He purchased another article having cost price equal to the previous article. He sold this new article at a profit of 10%. How much total profit has A earned?

Solution

Cost price(CP),  Selling price(SP),  Profit(P)

A sold an 1st article for ₹1495 at a profit of 15%.

SP of 1st article = 1495

P% = 15%

P % = $$ \frac{SP - CP}{CP} \times 100 $$

Substituting,

$$ \frac{15}{100} = \frac{1495 - CP}{CP} $$

On solving, CP = 1300

 A purchased 2nd article having cost price equal to the 1st article.

CP = 1300

P% = 10%

 P% = $$ \frac{SP - CP}{CP} \times 100 $$

Substituting,

$$ \frac{10}{100} = \frac{SP - 1300}{1300} $$

On solving, SP = 1430

Total CP = 1300 + 1300 = 2600

Total SP = 1495 + 1430 = 2925

Total P = 2925 - 2600 = 325


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