Question

Ranjana's mother gave her $Rs.245$ for buying a New Year card.If she got some $10$-rupees cards, $\frac{2}{3}$ as many $5$-rupee cards and $\frac{1}{5}$ as many $15$-rupee cards. How many of each kind did she buy in order of $10$ rupees, $5$ rupees, and $15$ rupee cards?

• A. $15,10,31$
  
• B. $15,7,3$
• C. $15,10,3$
  
• D. None of the above

Answer 1

Answer: (C)

$Let$
$She\text{bought:}$
$\text{10Rs}cards=x$
$5Rscards=\frac{2}{3}x$
$15Rscards=\frac{1}{5}x$
$Totalmoneyshewashaving=Rs245$
$Accordingtoquestion$
$10\left(x\right)+5\left(\frac{2}{3}x\right)+15\left(\frac{1}{5}x\right)=245$
$\Rightarrow 10x+\frac{10x}{3}+3x=245$
$\Rightarrow 13x+\frac{10x}{3}=245$
$\Rightarrow \frac{39x+10x}{3}=245$
$\Rightarrow 49x=735$
$x=15$
$Hence$
$Shebought$
$\text{10Rs}cards=15$
$5Rscards=10$
$15Rscards=3$