Question

2. A man bought antain number of glass venels for $600. He
booke of them. Then he sold the remaining for & lo move
than he had given fou it thereby gaining $50 on the
whole How many glass vessels did he buy and also find
the cost of each glass vessels.
​

Answer 1

$\huge\bigstar{\underline{\mathfrak{\green{Correct\: Question:-}}}}$

A man bought a certain no. of toys for Rs.180; he kept one for his own use and sold the rest for Rs.1 each more than he gave for them; besides getting his own toy for nothing he made a profit of Rs. 10. find no. of toys.

$\huge\bigstar{\underline{\mathfrak{\green{Solution:-}}}}$

$\large{\sf{The\: correct\:answer\:is\:20}}$

Lets the number toys be x and cost price of each toy is y.

so, xy = 180

And after removing one item, and increasing cost price by 1 rupee

Total cost is (x - 1)(y - 1) = 180 + 10 (Here, 10 is profit)

$\implies$xy - y x-1 = 190

$\implies$180 - y x = 191

$\implies$x - y = 11

[since xy = 180, y = 180 / x]

$\implies$x - 180 / x = 11

$\implies$x² - 180 = 11x

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