In an ATM if the currency notes of denominations of Rs.500/-, Rs.100/- and Rs.50/- respectivel the notes are in the ratio of 3:3:4. The total cash in the ATM is Rs.400,000/- How many notes 0 each denominations that ATM contains?

Understand ratio and total cash: Understand the ratio of the currency notes and the total cash in the ATM. The ratio of the notes is given as 3:3:4 for Rs.500, Rs.100, and Rs.50 notes respectively. The total cash in the ATM is Rs.400,000.Calculate total parts in ratio: Calculate the total number of parts in the ratio. The ratio has 3 parts for Rs.500 notes, 3 parts for Rs.100 notes, and 4 parts for Rs.50 notes. So, the total number of parts is 3 + 3 + 4 = 10 parts.Determine value of each part: Determine the value of each part in the ratio. Since the total cash is Rs.400,000 and there are 10 parts, each part is worth Rs.400,000 / 10 = Rs.40,000.Calculate number of Rs.500 notes: Calculate the number of Rs.500 notes. Since each part is worth Rs.40,000 and the Rs.500 notes are 3 parts of the ratio, the total value of Rs.500 notes is 3 * Rs.40,000 = Rs.120,000. To find the number of Rs.500 notes, divide this amount by the denomination: Rs.120,000 / Rs.500 = 240 notes.Calculate number of Rs.100 notes: Calculate the number of Rs.100 notes. Similarly, the Rs.100 notes are also 3 parts of the ratio, so the total value of Rs.100 notes is also Rs.120,000. To find the number of Rs.100 notes, divide this amount by the denomination: Rs.120,000 / Rs.100 = 1,200 notes.Calculate number of Rs.50 notes: Calculate the number of Rs.50 notes. The Rs.50 notes are 4 parts of the ratio, so the total value of Rs.50 notes is 4 * Rs.40,000 = Rs.160,000. To find the number of Rs.50 notes, divide this amount by the denomination: Rs.160,000 / Rs.50 = 3,200 notes.

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In an ATM if the currency notes of denominations of Rs. $500$ , Rs. $100$ and Rs. $50$ respectively the notes are in the ratio of $3:3:4$ . The total cash in the ATM is Rs. $400,000$ . How many notes of each denominations that ATM contains?

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Q. In an ATM if the currency notes of denominations of Rs.

500

, Rs.

100

and Rs.

50

respectively the notes are in the ratio of

3:3:4

. The total cash in the ATM is Rs.

400,000

. How many notes of each denominations that ATM contains?

Understand ratio and total cash: Understand the ratio of the currency notes and the total cash in the ATM. $\newline$ The ratio of the notes is given as $3:3:4$ for Rs. $500$ , Rs. $100$ , and Rs. $50$ notes respectively. The total cash in the ATM is Rs. $400,000$ .
Calculate total parts in ratio: Calculate the total number of parts in the ratio. $\newline$ The ratio has $3$ parts for Rs. $500$ notes, $3$ parts for Rs. $100$ notes, and $4$ parts for Rs. $50$ notes. So, the total number of parts is $3 + 3 + 4 = 10$ parts.
Determine value of each part: Determine the value of each part in the ratio. $\newline$ Since the total cash is Rs. $400,000$ and there are $10$ parts, each part is worth Rs. $\frac{400,000}{10} = 40,000$ .
Calculate number of Rs. $500$ notes: Calculate the number of Rs. $500$ notes. Since each part is worth Rs. $\newline$ $40,000$ and the Rs. $500$ notes are $3$ parts of the ratio, the total value of Rs. $500$ notes is $3 \times Rs.40,000 = Rs.120,000$ . To find the number of Rs. $500$ notes, divide this amount by the denomination: $\frac{Rs.120,000}{Rs.500} = 240$ notes.
Calculate number of Rs. $100$ notes: Calculate the number of Rs. $100$ notes. Similarly, the Rs. $100$ notes are also $3$ parts of the ratio, so the total value of Rs. $100$ notes is also Rs. $120,000$ . To find the number of Rs. $100$ notes, divide this amount by the denomination: Rs. $120,000$ / Rs. $100$ = $1,200$ notes.
Calculate number of Rs. $50$ notes: Calculate the number of Rs. $50$ notes. $\newline$ The Rs. $50$ notes are $4$ parts of the ratio, so the total value of Rs. $50$ notes is $4 \times \text{Rs.}40,000 = \text{Rs.}160,000$ . To find the number of Rs. $50$ notes, divide this amount by the denomination: $\text{Rs.}160,000 / \text{Rs.}50 = 3,200$ notes.