Question

A purse contains ₹250 in notes of denomination of 10 rupee and 50 rupee .If the number of 10 rupee notes is one more than that of ₹ 50 notes ,find the number of notes of each denomination

Answer 1

Answer:

Solution : Let the number of 50-rupee notes =

$x$

Then, the number of 10-rupee notes = (× + 1)

According to the problem

Value of 50-rupee notes + value of 10 - rupee notes = ₹ 250

i.e.,. 50

$x \: + \: 10 \: ( x + 1) = 250$

=>$5 \: x \: + \: (x + 1) = 25$

=>$5x \: + \: x \: = 25 - 1$

=>$6 \: x \: = 24$

=>$x = \frac{24}{6} = 4$

Step-by-step explanation:

Hence, the number of 50 rupee notes = 4, and the number of 10 rupee notes is 4 + 1, i.e., 5.

Check : Total amount in the purse = Four 50 rupee notes + Five 10 rupee notes.

= ₹ (50 × 4 + 10 × 5 ) = ₹ (200+50) = ₹250.