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Question

(C) Let the man spend $x$ Rs on each type of pen.The number of pens bought at $5$ Rs/pen is $\frac{x}{5}$.The number of pens bought at $10$ Rs/pen is

Vedclass · Accepted Answer

$\frac{60}{7}$ Rs

Vedclass · Answer

(C) Let the man spend $x$ Rs on each type of pen.The number of pens bought at $5$ Rs/pen is $\frac{x}{5}$.The number of pens bought at $10$ Rs/pen is $\frac{x}{10}$.The number of pens bought at $20$ Rs/pen is $\frac{x}{20}$.Total cost = $x + x + x = 3x$.Total number of pens = $\frac{x}{5} + \frac{x}{10} + \frac{x}{20} = \frac{4x + 2x + x}{20} = \frac{7x}{20}$.Average cost per pen = $\frac{	ext{Total cost}}{	ext{Total number of pens}} = \frac{3x}{\frac{7x}{20}} = 3x 	imes \frac{20}{7x} = \frac{60}{7}$ Rs/pen.

$x_i$	$3$	$6$	$10$	$12$	$7$	$15$
$f_i$	$3$	$4$	$2$	$8$	$13$	$10$

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
$f_i$	$8$	$30$	$40$	$12$	$10$

$x_i$	$5$	$15$	$25$	$35$	$45$	$55$
$f_i$	$12$	$18$	$27$	$20$	$17$	$6$

If a man spends an equal amount of money to buy three types of pens at $5$ Rs/pen,$10$ Rs/pen,and $20$ Rs/pen,what is the average cost per pen?

Similar Questions

If the mean of the numbers $27 + x$,$31 + x$,$89 + x$,$107 + x$,and $156 + x$ is $82$,then the mean of $130 + x$,$126 + x$,$68 + x$,$50 + x$,and $1 + x$ is:

The median of the following frequency distribution is:

$x_i$ $3$ $6$ $10$ $12$ $7$ $15$

$f_i$ $3$ $4$ $2$ $8$ $13$ $10$

Find the median of the following frequency distribution.

Class $0 - 10$ $10 - 20$ $20 - 30$ $30 - 40$ $40 - 50$

$f_i$ $8$ $30$ $40$ $12$ $10$

The number of observations in a group is $40$. If the average of the first $10$ observations is $4.5$ and the average of the remaining $30$ observations is $3.5$,then the average of the whole group is:

Find the mean of the following frequency distribution:

$x_i$ $5$ $15$ $25$ $35$ $45$ $55$

$f_i$ $12$ $18$ $27$ $20$ $17$ $6$

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