# Percentages Part 5

More or less concept

Problem 1: A reduction of 25% in the price of the sugar enables a person to purchase 4kg more for 800 RS. Find the original and current price per kg?

Solution: Let the original price = x

Reduced price = $\frac{3x}{4}$

$\frac{800}{\frac{3x}{4}}-\frac{800}{x}=4$

$\frac{800}{3x}=4$

Original price $x=66.66$

Reduced price=$\frac{3x}{4}=\frac{3\times&space;66.66}{4}=50$

Shortcut: 25% $\rightarrow$ $\frac{1}{4}$

4-3=1

1 $\rightarrow$ 4

3 $\rightarrow$ 3*4=12

4 $\rightarrow$ 4*4=16

$\frac{800}{12}=66.66$         $\frac{800}{16}=50$

Problem 2: Due to 30% increase in the price of apples, 6 apples are less available for RS 520. Find the new price and the old price of an apple?

Solution :30%  $\rightarrow$ $\frac{3}{10}$

3 $\rightarrow$ 6

1 $\rightarrow$ 2

13*2=26

10*2=20

$\frac{520}{26}=20$            $\frac{520}{20}=26$

old price=20               new price=26