Question

A sum of Rs 36.90 is made up of 180 coins which are either 10 paise coins or 25 paise coins Determine the number of each type of coins

• A. $126$ of $10$ p coins and $54$ of $25$ p coins
• B. $54$ of $10$ p coins and $126$ of $25$ p coins
• C. $90$ of $10$ p coins and $90$ of $25$ p coins
• D. $54$ of $10$ p coins and $90$ of $25$ p coins

Answer 1

Answer: (B)

$54$ of $10$ p coins and $126$ of $25$ p coins

Given : Total no of coins $=180$

Let, the no of $10$ paise coins $x$

No of $25$ paise coins $=180-x$

Value of $10$ paise coins $=10x$

Value of $25$ paise coins $=25(180-x)$

A.T.Q,

$10x+25(180-x)=3690$

$⟹10x+4500-25x=3690$

$⟹4500-3690=25x-10x$

$⟹15x=810$

$⟹x=\frac{810}{15}=54$

$\therefore$ No of $10$ paise coins $=54$

No of $25$ paise coins $=180-54=126$