A box contains 420 coins in rupee, 50 paise and 20 paise

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A box contains 420 coins in rupee, 50 paise and 20 paise coins. The ratio of their rupee values being 13 : 11 : 7. The number of 50 paise coins is

1. 42
2. 78
3. 66
4. 132

Correct Option: D

Ratio of their values =13:11:7
Ratio of their numbers = 13 : 22 : 35
∴ 13x + 22x + 35x = 420
⇒ 70x = 420 ⇒ x = 6
∴ Number of 50 paise coins
= 22x = 22 × 6 = 132