Question

Lakshmi is a cashier in bank she has currency of notes of dominations rupees hundred rupees 50 and 10 respectively the ratio of the number of these notes is 2 : 3 :5 the total cash with Lakshmi is rupees 400000
How many notes of each denomination does she has

Answer 1

$\Large{\underline{\sf{\purple{Given}}}}$

• Lakxmi has notes of Rs 100 , Rs 50 and Rs 10 .

• Total amount she has 4 lakh rupees .

• Notes are in the ratio of 2 : 3 : 5.

$\Large{\underline{\sf{\purple{To\:Find}}}}$

• Number of notes of each denomination.

$\Large{\underline{\sf{\purple{To\:Convert}}}}$

The notes are in ratio = 2 :3 :5

Now let's assume that :-

→ Number of Rs 100 notes is 2x .

→ Number of Rs 50 notes is 3x .

→ Number of Rs 100 notes is 5x.

And now let's assume amount of each note .

→ Amount of 100 rupees note = 2x ×100 = 200x

→ Amount of 50 rupees note = 3x × 50 = 150x

→ Amount of 10 rupees note = 5x × 10 = 50x

We are given total amount of money is 4 lakhs .

$\sf{ \implies \: 200x + 150x + 50x = 400000}$

$\sf{\implies 400x \:=\: 4,00,000}$

$\sf{\implies x \: = \: \frac{4,00,000}{400}}$

$\large{\underline{ \underline{ \sf{ \green{\implies x \: = \: 1000}}}}}$

Now we have to find out the number of notes of each denomination .

→ Number of Rs 100 notes = 2 (1000)

→ Number of Rs 50 notes = 3 (1000)

→ Number of Rs 10 notes = 5 (1000)

$\large{\underline{\underline{\sf{\green{\implies Rs \: 100 \: = \: 2000 \: notes}}}}}$

$\large{\underline{\underline{\sf{\green{\implies Rs \: 50 \: = \: 3000 \: notes}}}}}$

$\large{\underline{\underline{\sf{\green{\implies Rs \: 10 \: = \: 5000 \: notes}}}}}$

$\Large{\underline{\sf{\purple{Verification}}}}$

Total amount was given as 4 lakhs

Amount of Rs 100 notes = 100× 2000

→ 2 lakhs

Amount of Rs 50 notes = 50× 3000

→ 1.5 lakhs

Amount of Rs 10 notes = 10× 5000

→ 50 k

Now adding all these amounts

$\sf{200000 + 150000 + 50000 = 4000000}$

Hence verified

Answer 2

✯✯ QUESTION ✯✯

Lakshmi is a cashier in bank she has currency of notes of dominations rupees hundred rupees 50 and 10 respectively the ratio of the number of these notes is 2 : 3 :5 the total cash with Lakshmi is rupees 400000.How many notes of each denomination does she has?

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✰✰ ANSWER ✰✰

$Ratio\:of\:Notes=2:3:5$

➜Now : -

$\longrightarrow{Let\:Rs100\:Notes=2x}$

$\longrightarrow{Let\:Rs50\:Notes=3x}$

$\longrightarrow{Let\:Rs10\:Notes=5x}$

➜Now,Amount of Each Note : -

$\textbf{Rs100\:Notes=2x(100)}$

$\longrightarrow{200x}$

$\textbf{Rs50\:Notes=3x(50}$

$\longrightarrow{150x}$

$\textbf{Rs10\:Notes=5x(10)}$

$\longrightarrow{50x}$

➜A.T.Q : -

$\longrightarrow{200x+150x+50x=400000}$

$\longrightarrow{400x=400000}$

$\longrightarrow{x=\cancel\dfrac{400000}{400}}$

$\longrightarrow{\small{\boxed{\boxed{\bold{\orange{\sf{x=1000}}}}}}}$

➜So,

$\textbf{Rs100\:Notes=2(1000)}$

$\longrightarrow{2000}$

$\textbf{Rs50\:Notes=3(1000)}$

$\longrightarrow{3000}$

$\textbf{Rs10\:Notes=5(1000)}$

$\longrightarrow{5000}$

➜Verification : -

$\textbf{Rs100\:Notes=100(2000)}$

$\longrightarrow{200000}$

$\textbf{Rs50\:Notes=50(3000)}$

$\longrightarrow{150000}$

$\textbf{Rs10\:Notes=10(5000)}$

$\longrightarrow{50000}$

➜On Adding all Amounts : -

$\longrightarrow{200000+150000+50000=400000}$

✺ HENCE VERIFIED ✺