Deveshi has a total of Rs 590 as currency notes in the denomination of Rs 50,rs20 and Rs 10. the ratio of the number of rs50 notes and Rs 20notes is 3:5.if she has a total of 25 notes, how many notes of each denomination she has?
Answers
Answer:
No. of notes of Rs 50 = 6
No. of notes of Rs 20 = 10
No. of notes of Rs 10 = 9
Step-by-step explanation:
Given:
Total of Rs = 590
Ratio of Rs50 notes and Rs 20notes = 3:5
Total of notes = 25
Find:
No. of notes each denomination
Solution :
Let
No. of notes of Rs 50 = 3x
No. of notes of Rs 20 = 5x
No. of notes of Rs 10 = 25 - (3x+5x)
= 25 - 8x
Total of Rs = 590
So,
⇒ 3x × 50 + 5x × 20 + 10(25 - 8x) = 590
⇒ 150x + 100x + 250 - 80x = 590
⇒ 150x + 100x - 80x = 590 - 250
⇒ 170x = 340
⇒ x = 340 / 170
⇒ x = 2
★ No. of notes of Rs 50 = 3x
⇒ 3 (2) = 3 × 2 = 6
★ No. of notes of Rs 20 = 5x
⇒ 5 (2) = 5 × 2 = 10
★ No. of notes of Rs 10 = 25 - 8x
⇒ 25 - 8 (2) = 25 - 8 × 2
⇒ 25 - 16
⇒ 9
Therefore,
No. of notes of Rs 50 = 6
No. of notes of Rs 20 = 10
No. of notes of Rs 10 = 9