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  • Deveshi 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 Rs 50 notes and Rs 20 notes is 3:5.If she has a total of 25 notes,how many denominations of each denomination has she? (write with steps)

Deveshi 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 Rs 50 notes and Rs 20 notes is 3:5.If she has a total of 25 notes,how many denominations of each denomination has she? (write with steps)

Answers (1)

Let the number of Rs. 50 notes and Rs. 20 notes be 5x and 3x respectively.

As she has 25 notes in total. then the number of Rs. 10 notes = 25 - (3x + 5x) = 25 - 8x

Given, Total money = Rs. 590

According to the question,

3x × 50 + 5x × 20  + 10 (25 - 8x) = 590

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

Or, 170x = 340

Or, x = 2

Hence, the number of Rs. 50 notes = 3 × 2 = 6

The number of Rs. 20 notes = 5 × 2 = 10

The number of Rs. 10 notes = 25 - 8 × 2 = 9

Posted by

shubham.krishnan

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