Question

Tanu has a total of Rs. 590 as currency notes in the denominations of Rs. 50, Rs. 20 and Rs. 10. The ratio of the number of Rs. 50 notes and Rs. 20 notes is 3:5. If she has a total of 25 notes, how many notes of Deach denomination she has ? ​

Answer 1

AnswEr :

⋆ Number of Each Denomination :

◗ Let the Number of Rs. 50 Notes be 3n.

◗ Number of Rs. 20 Notes be 5n.

◗ Number of Rs. 10 Notes be [Total - (3n + 5n)] = (25 - 8n)

⋆ Value of Each Denomination :

↦ Rs. 50 Notes = (3n × 50) = 150n

↦ Rs. 20 Notes = (5n × 20) = 100n

↦ Rs. 10 Notes = (25 - 8n) × 10 = 250 - 80n

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• According to the Question Now :

⇒ Rs. (50 + 20 + 10) Note Value = Rs. 590

⇒ 150n + 100n + 250 - 80n = 590

⇒ 250n - 80n = 590 - 250

⇒ 170n = 340

• Dividing both term by 170

⇒ n = 2

• D E N O M I N A T I O N :

◗ Rs. 50 = 3n = 3(2) = 6

◗ Rs. 20 = 5n = 5(2) = 10

◗ Rs. 10 = (25 - 8n) = (25 - 8(2)) = 9

∴ Number of Rs. 50, Rs. 20 and Rs. 10 Notes will be 6, 10 and 9 respectively.

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• V E R I F I C A T I O N :

↠ Rs. (50 + 20 + 10) Note Value = Rs. 590

↠ 150n + 100n + (250 - 80n) = Rs. 590

↠ 150(2) + 100(2) + (250 - 80(2)) = Rs. 590

↠ Rs. (300 + 200 + (250 - 160))= Rs. 590

↠ Rs. (500 + 90) = Rs. 590

↠ Rs. 590 = Rs. 590 ⠀⠀⠀Hence, Verified!

#answerwithquality #BAL

Answer 2

Answer:

$\bold\red{Notes\:of\:Rs.50=6}$

$\bold\red{Notes\:of\:Rs.</h3><h3>20=10}$

$\bold\red{Notes\:of\:Rs.10=9}$

________________________

● Total currency = Rs.590

● Denominations = Rs.50,20 & 10

● Ratio of Rs.50 and Rs.20 =3:5

● Total notes = 25

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Let's take number if Rs.50 as 3x and Rs.20 as 5x.

So, number of Rs.10 = 25-(3x+5x)=25-8x

Denominations:-

Number of Rs.50 notes = 50 ×(3x)=150x

Number of Rs.20 notes = 20 ×(5x)=100x Rs.10 notes = 10 ×(25-8x)= 250-8x

__________________________

According to question:-

150x + 100x + 250-80x = 590

$\longrightarrow\tt 170x = 590-250$

$\longrightarrow\tt 170x = 340$

$\longrightarrow\tt x =\frac{340}{170}$

$\longrightarrow\tt x = 2$

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Denominations list:-

Number of Rs.50 = 3 × 2 = 6

Number of Rs.20 = 5 × 2 = 10

Number of Rs.10 = 25 -(8×2)= 9

#Answerwithquality & #BAL