Question

1. A bag contains 50p, 25p and 10p coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.

200,160,300

360, 160, 200

200, 360,160

160, 360, 200

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Answer 1

Answer:

option C) 200 , 360 , 160

Step-by-step explanation:

206 = (100*206) p

= 20600 p

the ratio of coins is 5 : 9 : 4

commun value of the ratio is k

number of 50 p is 5k

number of 25 p is 9k

number of 10 p is 4k

amount of 50 p = (50*5k) p = 250k p

amount of 25 p = (25*9k) p = 225k p

amount of 10 p = (10*4k) p = 40k p

given that total amount is Rs 206

= 20600 p

250k + 225k + 40k = 20600

=> 515k = 20600

=> k = 20600/515

=> k = 40

number of 50 p is (40*5) = 200

number of 25 p is (9*40) = 360

number of 10 p is (4*40) = 160