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A case contains ₹ 480 in the form of coins of one rupee, 50 paise, and 25 paise. The number of 50 paise coins is three times the number of 25 paise coins and four times the number of one rupee coins. How many 25 paise coins are there in the case?

A case contains ₹ 480 in the form of coins of one rupee, 50 paise, and 25 paise. The number of 50 paise coins is three times the number of 25 paise coins and four times the number of one rupee coins. How many 25 paise coins are there in the case? Correct Answer 192

GIVEN:

Total rupee in a case = ₹ 480

50 paise coins are three times the number of 25 paise coins and four times the number of one rupee coins

CALCULATION:

It is given that 50 paise coins are three times the number of 25 paise coins

So, we can say that the ratio of 50 paise coins and 25 paise coins = 3 ∶ 1

Also, 50 paise coins are four times the number of one rupee coins

So, the ratio of 50 paise coins and one rupee coins = 4 ∶ 1

Now

Rs. 1 ∶ 50p ∶ 25p

3 ∶ 3 ∶ 1

1 ∶ 4 ∶ 4

3 ∶ 12 ∶ 4

No. of coins = 3x ∶ 12x ∶ 4x

Value of coins = 3x × 1 ∶ 12x × 1/2 ∶ 4x × 1/4

Total value = 3x + 6x + x = 10x

Given

10x = ₹ 480

⇒ x = ₹ 48

Value of 25 paise coins = x = ₹ 48

No. of coins of 25 paise coins = 48 × 4 = 192

∴ No. of 25 paise coins = 192.

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