Math, asked by AmanKabir, 1 year ago

(14) Lakshmi is a castrer in a bank. She has currency notes of denominations
100. 50 and 10. respectively. The ratio of the number of these
notes is 2:3:5. The total cash with Lakshmi is 4,00,000. How many​

Answers

Answered by santy2
2

Answer:

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

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

notes is 2:3:5. The total cash with Lakshmi is 4,00,000. How many notes of each currency does Lakshmi have:

Lakshmi has  2000, 100 notes; 3000, 50 notes and  5000, 10 notes.

Step-by-step explanation:

The ratio of the notes of the currency 100 : 50 : 10 is  2 : 3 : 5

Since this ratio is of the number of notes, then let the total number of notes be x

2:3:5 of x ( the total number of notes)

Find the number of notes of each currency in terms of y

Total ratio = 2 + 3 + 5 = 10

Number of 100 notes = 2/10 × y = 0.2y

Number of 50 notes = 3/10 × y = 0.3y

Number of 10 notes  = 5/10 × y = 0.5y

We can then find the amount of each notes and equate it to the total amount, 4,00,000

100 notes = 0.2y × 100 = 20 y

50 notes = 0.3y × 50 = 15 y

10 notes = 0.5y × 10 = 5 y

These are the total amounts of each or the currencies

Therefore:   20y + 15y + 5y = 4,00,000

                     40y = 400000

                         y = 400000/40

                         y = 10,000

Therefore the total number of notes, y = 10000 notes

Find the number of notes of each currency using the ratio 2:3:5

100 notes = 2/10 × 10,000 = 2000 notes

50 notes   = 3/10 × 10,000 = 3000 notes

10 notes    = 5/10 × 10,000  = 5000 notes

Therefore there are 2000, 100 notes currency

                                 3000, 50 notes currency

                                 5000, 10 note currency

Answered by Anonymous
0

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Lakshmi is a cashier in a bank. she has currency note 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 denominations does she have?

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Let the number of notes of different denomination be x.

∴ Numbers of Rs100 notes, 50 notes and Rs10 notes will be 2x,3x and 5x respectively.

Amount of 100 Rs notes ⇒Rs100×2x=200x

Amount of 50 Rs notes ⇒Rs50×3x=150x

Amount of 10 Rs notes ⇒Rs10×5x=50x

  • As per the question:-

Total amount =400000

200x+150x+50x=400000

400x=400000,x=1000

No of Rs 100 notes =2x=2×1000=2000

No of Rs 50 notes =3x=3×1000=3000

No of Rs 10 notes =5x=5×1000=5000

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Hope it helps you!.

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