NCERT Class 8 Mathematics Solutions: Chapter 2 –Linear Equations in One Variable Exercise 2.2 Part 6

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Question: 14 Lakshmi is a cashier in a bank. 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. How many notes of each denomination does she have?


Let number of notes be Rs.100, Rs.50, Rs.10. be 2x, 3x, and 5x respectively.

According to question,

Hence, number of Notes =

Number of Rs. 50 Notes

Number of Rs. 10 Notes

Therefore, required denominations of notes of Rs.100, Rs.50, Rs, 10 are 2000, 3000, and 5000 respectively.

Question: 15 I have a total of Rs.300 in coins of denomination Rs.1, Rs.2 and Rs.5. The number of Rs.2 coins is 3 times the number of Rs.5 coins. The total number of coins is 160. How many coins of each denomination are with me?


Let the number of Rs.5 coins be .

Number Rs.2 coins = and,

Number of Rs.1 coins =

Now, Value of Rs. 5 Coins = =

Value of Rs. 2 Coins = =

Value of Rs. 1 Coins = =

Number of Rs.5 coins:

Number of Rs.2 coins:

Number of Rs.1 coins:

Question:16 The organizers of an essay competition decide that a winner in the competition gets a prize of Rs.100 and a participant who does not win, gets a prize of Rs.25. The total prize money distributed is Rs.3, 000. Find the number of winners, if the total number of participants is 63.


Let the numbers of winner be

Number of participant didn't win Total money given to the winner Total money given to participant didn't win

Total sum of money = Rs.3000

Thus, the numbers of winners are 19.