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QA – Placement Quizzes | Algebra | Question 14

Last Updated : 28 Jun, 2021

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If a total of 324 coins of 20 paise and 25 paise make a sum of Rs 71. Then find the number of 25-paise coins.

(A)

104

(B)

120

(C)

124

(D)

128

Answer: (C) (D)

Explanation:

Let the number of 20-paise coins be x and the number of 25-paise coins be y. Then, x + y = 324 (equation 1) And, x/5 + y/4 = 71 4x + 5y = 71*20 (Multiplying by 20 on both sides) Substituting the value of x from equation 1, we get 4(324-y) + 5y = 71*20 1296 – 4y + 5y = 1420 y = 124.

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