Question

Lakshmi is a cashier in a bank. She has currency notes of denominations

Rs 100, Rs 50 and Rs 10, respectively. The ratio of the number of these

notes is 2:3:5. The total cash with Lakshmi is Rs 4,00,000. How many

notes of each denomination does she have​

Answer 1

Step-by-step explanation:

Let x be common

2x+3x+4x =400000

9x=400000

X=400000/9

Now you will get the answer

Answer 2

$\underline{\underline{\sf{\maltese\:\:Given}}}$

$\sf \implies Lakshmi \: has \: notes \: of \: Rs. \: 100 , \: Rs. \: 50 \: and \: Rs. \: 10$

$\sf \implies Notes \: are \: in \: the \: ratio \: of \: is \: 2:3:5$

$\sf \implies Total \: cash \: with \: Lakshmi = Rs. \: 400000$

$\underline{\underline{\sf{\maltese\:\:To \: find }}}$

$\sf \implies Number \: of \: notes \: of \: each \: denomination = \: ?$

$\underline{\underline{\sf{\maltese\:\:Solution }}}$

$\star \sf \: \underline{ Let \: us \: consider \: that},$

$\sf \implies Number \: of \: Rs. \: 100 \: notes \: as \: 2x$

$\sf \implies Number \: of \: Rs. \: 50 \: notes \: as \: 3x$

$\sf \implies Number \: of \: Rs. \: 10 \: notes \: as \: 5x$

$\star \sf \: \underline{Amount \: of \: each \: notes : }$

$\sf \implies Amount \: of \: 100 \: rupees \: note = 2x \times 100 = 200x$

$\sf \implies Amount \: of \: 50 \: rupees \: note = 3x \times50 = 150x$

$\sf \implies Amount \: of \: 10 \: rupees \: note = 5x \times10 = 50x$

$\star \sf \: \underline{ According \: to \: question,}$

$\sf \implies 200x+150x+50x=400000$

$\sf \implies 400x=400000$

$\sf \implies x= \dfrac{400000}{400}$

$\sf \implies x= 1000$

$\small{ \bf Now, }$

$\star \sf \: \underline{ Number \: of \: notes \: of \: each \: denomination :}$

$\sf \implies Number \: of \: Rs. \: 100 \: notes \: ( 2x) = 2 \times 1000 = 2000$

$\sf \implies Number \: of \: Rs. \: 50 \: notes \:( 3x) = 3 \times 1000 = 3000$

$\sf \implies Number \: of \: Rs. \: 10 \: notes \: ( 5x ) = 5 \times 1000 = 5000$

$\small{ \bf Therefore, }$

$\sf \implies Total\: notes \:of \:Rs.\: 100 = 2000 \:notes$

$\sf \implies Total \:notes \:of\: Rs.\: 50 = 3000 \:notes$

$\sf \implies Total \:notes\: of\: Rs.\: 10 = 5000 \:notes$