A certain sum of money consists of 30 coins, some of which are 10 paisa coins and the rest are 5 paisa coins . If the total value of the coins is TK. 2 , what is the number of 10 paisa coins?

A 10
B 15
C 12
D 8

Correct Answer: 10

x = number of 10 paisa coins; y = number of 5 paisa coins . so,x + y = 30 and x = 30 - y ATQ, 10x + 5y = 200 Substitute for x. 10(30 - y) + 5y = 200 or,300 - 10y + 5y = 200 or, - 5y = - 100 or,y = 20 so,x = 30 - 20 = 10 ∴ the number of 10 paisa coins is 10
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