Question

14. Lakshmi is a cashier in a bank. She has currency notes of denominations
3100, 750 and 10, respectively. The ratio of the number of these
notes is 2:3:5. The total cash with Lakshmi is 34.00,000. How many
notes of each denomination does she have?
15. I have a total of 300 in coins of denomination 31, 2 and 35. The
number of 2 coins is 3 times the number of 5 coins. The total number of
coins is 160. How many coins of each denomination are with me?
16. The organisers of an essay competition decide that a winner in the
competition gets a prize of 100 and a participant who does not win gets
a prize of 25. The total prize money distributed is 3,000. Find the
number of winners, if the total number of participants is 63.

Answer 1

Answer:

14)She has currency notes 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.

15)Let the number of coin 5 = Rs.x

so the number of coin 2 = 3x

so the number of coin 1 = 160 - 4x

so amount of rs.5 = 5x

so the amount of rs.2 = 6x

a/q

5x + 6x + 160 - 4x = 300

7x = 300 - 160

7x = 140

x = 20

so the number of coin of 5 = 20 coins

so the number of coin of 2 = 60 coins

so the number of coin of 1 = 80 coins

16)Let x be the number of the winners. So, the number of participants who does not win (63−x).

Prize money given to x winners = Rs. (100×x)= Rs. 100x

and prize money given to (63−x) participants = Rs. 25(63−x)

Given, total prize money distributed = Rs. 3000

∴100x+25(63−x)=3000  

⇒4x+(63−x)=120            ...[On dividing both sides by 25]

⇒3x+63=120

⇒3x=120−63             ...[Transposing 63 to RHS]

⇒3x−57⇒x=  

3

57

​  

=19

∴ The number of winners is 19

Explanation:

I Hope that it may help you