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?

Answer:

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?

Answer:

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.

Answer:

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.