Praveen has rupees 4662 in the from of 2 and 5, 10 rupees notes. if these notes are in the ratio of 3:5:8 the number of five rupees notes within him is
Answers
Given :
- Total rupees praveen has = Rs. 4662
- In which there were 2 , 5 and 10 Rupees notes.
Assuming the notes are in ratio of 3:5:8
To find :
- Total no. of Rs. 5 notes
Solution:
Let x to be included in the ratio then 3x , 5x and 8x
Let the no. of Rs 2 , Rs 5 and Rs 10 be 3x , 5x and 8x
Now According to question,
3x × 2 + 5x × 5 + 10x × 8 = Rs. 4662
= 6x + 25x + 80x = Rs.4662
= 111x = Rs. 4662
=> x = Rs. 4662/111
x = Rs. 42
Now finding the no. of all Rs. 2 , Rs. 5 and Rs.10 notes
No. of Rs.2 notes = 3× 42 = 126
No. of Rs.5 notes = 5 × 42 = 210
No. of Rs.10 notes = 8 × 42= 336
In question, it is asking the no. of Rs. 5 notes
= 210
ǫᴜᴇsᴛɪᴏɴ :-
Praveen has rupees 4662 in the from of 2 and 5, 10 rupees notes. if these notes are in the ratio of 3:5:8 .
Gɪᴠᴇɴ :-
- Total money = 4662
- Dimensions of money = 2 , 5 and 10
- Ratio of money = 3 : 5 : 8
ᴛᴏ ғɪɴᴅ :-
- Number of 5-rupee notes
sᴏʟᴜᴛɪᴏɴ :-
Let the ratio of number of notes be 'x'
Then,
According to Question
➦ Number of 2-Rupee notes = 3x
➦ Number of 5-rupee notes = 5x
➦ Number of 10-rupee notes = 8x
Now,
➢ Sum of money = 4662
By adding all rupees with their number of notes we get,
➨ 2 × 3x + 5 × 5x + 10 × 8x = 4662
➨ 6x + 25x + 80x = 4662
➨ 111x = 4662
➨ x = 4662/111 = 42
Hence,
➲ Number of 5-rupee notes = 5 × 42 = 210