Question

the cost price of 16 book is equal to the selling price of 30 book find the gain percent​

Answer 1

Question : The cost price of 16 books is equal to the selling price of 30 books. Find the loss percent.

Solution :

Let the selling price(SP) of 1 book be Rs 1.

Then, the selling price (SP) of 16 books = Rs 16

$\because{Cost\: price\:(CP) \:16 \:books = Selling\: price \:(SP) \:of \:30\: books}$

$\therefore{Cost\: price\: (CP)\: of \:16 \:books \:= Rs\: 30}$

$\fbox{ SP = Rs \:16\: and \:CP=Rs\: 30}$

$\because {CP\: is \:greater \:than \:SP, \:there\: is\: a\: loss. }$

Loss

= CP-SP

= Rs(30-16)

= Rs 14

$Loss\%=(\frac{Loss}{CP}\times100)\%$

$Loss\%=(\frac{14}{30}\times100)\%$

$\fbox{ loss\% = 47\%\: approx }$

Note : We obtained loss% = 46.666.... So we taken approx .

Answer 2

Let the SP of 1 book = Rs 1

SP of 16 books = Rs 16

CP of 16 books = SP of 30 books

= Rs 30

SP of 30 books = CP of 16 books

= Rs 16

So, CP > SP

Loss = CP –SP

= 30 – 16

= Rs 14

$loss\% = \frac{loss}{c.p} \times 100 \\ loss\% = \frac{14}{30} \times 100 \\ loss\% = \frac{140}{3}\% \\ = 46 \frac{2}{3}$