# NCERT Class 8 Mathematics Solutions: Chapter 2 – Linear Equations in One Variable Exercise 2.2 Part 6 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question: 14** Lakshmi is a cashier in a bank. She has currency notes of denominations ₹ 100, ₹ 50 and ₹ 10 respectively. The ratio of the number of these notes is 2: 3: 5. The total cash with Lakshmi is ₹ 4,00, 000. How many notes of each denomination does she have?

**Answer**:

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

According to question,

Hence, number of Notes =

Number of ₹ 50 Notes

Number of ₹ 10 Notes

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

**Question: 15** I have a total of ₹ 300 in coins of denomination ₹ 1, ₹ 2 and ₹ 5. 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?

**Answer**:

Let the number of ₹ 5 coins be .

Number ₹ 2 coins = and,

Number of ₹ 1 coins =

Now, Value of ₹ 5 Coins = =

Value of ₹ 2 Coins = =

Value of ₹ 1 Coins = =

Number of ₹ 5 coins:

Number of ₹ 2 coins:

Number of ₹ 1 coins:

**Question: 16** The organizers 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**:

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 = ₹ 3000

Thus, the numbers of winners are 19.