Some one rupee, 50 paisa and 25 paisa coins make up rupees 93.75 and their numbers are in the proportion of 3 ∶ 4 ∶ 5. Find the number of each type of coins?

Question

Question

This question was previously asked in

RRB ALP CBT I 17 Aug 2018 Shift 2 Official Paper

Answer 1

Given:

Some one rupee, 50 paisa and 25 paisa coins make up rupees 93.75 and their numbers are in the proportion of 3 ∶ 4 ∶ 5.

Calculation:

Let the number of coins of one rupee, 50 paisa and 25 paise be 3x, 4x and 5x respectively.

According to the question,

3x × 1 + 4x × 0.50 + 5x × 0.25 = 93.75

⇒ 3x + 2x + 1.25x = 93.75

⇒ 6.25x = 93.75

⇒ x = 93.75/6.25

⇒ x = 15

Hence, there are (3 × 15) i.e. 45 one rupee coins, (4 × 15) i.e. 60, 50 paisa coins, and (5 × 15) i.e. 75, 25 paise coins.

∴ There are 45, 60, and 75 coins of one rupee, 50 paisa, and 25 paisa respectively.