Question

Meena went to a bank to withdraw ₹ 2000. She asked the cashier to give her
₹50 and ₹100 notes only. Meena got 25 notes in all. Find how many notes of
₹50 and ₹ 100 she received.. ​

Answer 1

✧ Given :-

• ₹2000 is being withdrawn by Meena.
• She asked to give her ₹50 and ₹100 notes.
• The manager gave her 25 notes.

✧ To find :-

• The number of ₹50 and ₹100 she got =??

$\sf { \underline{ \green{ ✧ \purple A \red n \orange s \pink w \blue e \green r: -}}}$

• $\rm{\underline{Number of ₹50 notes = 10}}$
• $\rm{\underline{Number of ₹100 notes = 15}}$

✯ Step by step Explanation ✯

• Let's assume that the no. of ₹50 notes and ₹100 notes is x and y respectively.

$\bf \therefore \: the \: total \: no. \: of \: notes \\ \bf \: \implies \:x + y \: = 25(given). .......(i)$

• Total money meena has :-

50x + 100y = ₹2000(given)

On Simplification,

$\bf \implies \cancel{50}(x + 2y) = \cancel{₹2000} \\ \bf \implies \: x + 2y = 40. ......(ii)$

✧ Now, subtraction of both equation :-

$\bf \cancel x + y = 25 \: \\ \bf -{ \underline{\cancel x - 2y = - 40}} \\ \bf \implies \cancel - y = \cancel - 15 \\ \bf \therefore \: y = 15$

Putting the value of y in equation (i) :-

$\bf \implies \: x + 15 = 25 \\ \bf \implies \: x = 10$

$\bf { \boxed{ \boxed{\therefore \bf number \: of \:₹ 50 \: notes \: = 10}}} \\ { \boxed{ \boxed{\bf \therefore \: number \: of \:₹ 100 \: notes \: = 15}}}$