Question

A stationary shop had three types of pens costing $Rs$ 10,Rs 25 and Rs 50 . There were twice as many 25 -rupee pens as there were 10 -rupee pens. The 50 -rupee pens added up to a value of Rs 350 . If the total value of pens was Rs 1550, how many pens of each type were there?

Answer 1

Combined value of 10Rs and 25Rs pen = 1550-350=1200 Rs

Let number of pens of 10 Rs = x

then x $\cdot$10+2x$\cdot$25=1200

(x)60=1200

$\therefore$ x=20(number of 10 Rs pen)

$\therefore$ number of 20 Rs pen = 2 $\cdot$ 20=40 pens

and number of 50 Rs pen = 350/50=7 pens