- Home
- Standard 13
- Quantitative Aptitude
7.Profit and Loss
hard
On a $Rs.\,10,000$ payment order, a person has a choice between three successive discounts of $10 \%, 10 \%$ and $30 \%$ and three successive discounts of $40 \%, 5 \%$ and $5 \% .$ By choosing the better offer, he can save in $Rs.$?
A
$200$
B
$225$
C
$400$
D
$255$
Solution
Let us assume payment order be $Rs. 100$
$Case – 1:$ Successive discount of $10 \%, 10 \%, 30 \%$
$\Rightarrow 100 \times \frac{90}{100} \times \frac{90}{100} \times \frac{70}{100}=$ Rs. 56.7
$Case – 2:$ Successive discount of $40 \%, 5 \%, 5 \%$
$\Rightarrow 100 \times \frac{60}{100} \times \frac{95}{100} \times \frac{95}{100}= Rs .54 .15$
For $Rs.$ $100,$ person can save $Rs.$ $(56.7-54.15)$
$=$ $Rs.$ $2.55$
Hence, for $Rs. 10000 ,$ he can save
$=$ Rs. $\frac{2.55}{100} \times 10000=$ $Rs. 255$
Standard 13
Quantitative Aptitude
