Question

7. Amilkman sold two of his buffaloes for 20,000 each On
one he made a gain of 5% and on the other a loss of 10%.
Find his overall gain or loss. Hint: Find CP of each)​

Answer 1

$\huge{\underline\mathbb\blue{SOLUTION!!...}}$

cost of each buffalo = $ 20,000

cost of 2 buffaloes = 2 × 20,000

$\</strong><strong>p</strong><strong>i</strong><strong>n</strong><strong>k</strong><strong>{\underline\textb</strong><strong>f</strong><strong>{</strong><strong>total </strong><strong>selling</strong><strong> </strong><strong>proce</strong><strong> </strong><strong>of</strong><strong> </strong><strong>2</strong><strong> </strong><strong>buffaloes</strong><strong> </strong><strong>=</strong><strong> </strong><strong> </strong><strong>4</strong><strong>0</strong><strong>,</strong><strong>0</strong><strong>0</strong><strong>0</strong><strong>}</strong><strong>}</strong><strong>[</strong><strong>/</strong><strong>tex</strong><strong>]</strong></h3><p></p><h3><strong>[tex]\</strong><strong>r</strong><strong>e</strong><strong>d</strong><strong>{\underline\textbf{</strong><strong>c</strong><strong>p</strong><strong> </strong><strong>of</strong><strong> </strong><strong>1</strong><strong>s</strong><strong>t</strong><strong> </strong><strong>buffal</strong><strong>o</strong><strong> </strong><strong>+</strong><strong> </strong><strong>cp</strong><strong> </strong><strong>of</strong><strong> </strong><strong>2</strong><strong>n</strong><strong>d</strong><strong> </strong><strong>buffal</strong><strong>o</strong><strong>}$

$\green{\underline\textbf{</strong><strong>for</strong><strong> </strong><strong>1</strong><strong>s</strong><strong>t</strong><strong> </strong><strong>buffal</strong><strong>o</strong><strong>...}</strong><strong>}</strong><strong>$

let the cp be x...

gain = sp - cp

gain = 20000 - x

$\green{\underline\textbf{</strong><strong>also</strong><strong>...}</strong><strong>}</strong><strong>$

$gain\% = \frac{gain}{cost \: price} \times 100$

$5 = \frac{20000 - x}{x} \times 100$

$5x = (20000 - x) \times 100$

$5 x = 2000000 - 100x$

$5x + 100x = 2000000$

$105x = 2000000$

$x = \frac{2000000}{105}$

$\green{\underline\textbf{</strong><strong>for</strong><strong> </strong><strong>2</strong><strong>n</strong><strong>d</strong><strong> </strong><strong>buffalo</strong><strong>...}</strong><strong>}</strong><strong>$

let the cp be y...

loss = cp - sp

loss = y - 20000

$\green{\underline\textbf{</strong><strong>also</strong><strong>...</strong><strong>}</strong><strong>}$

$loss\% = \frac{loss}{cost \: price} \times 100$

$10= \frac{y - 20000}{y} \times 100$

$10y = (y - 20000) \times 100$

$10y = 100y - 2000000$

$10y- 100y = - 2000000$

$- 90y = - 2000000$

$y = \frac{2000000}{90}$

$\</strong><strong>r</strong><strong>e</strong><strong>d</strong><strong>{\underline\textbf{</strong><strong>total</strong><strong> </strong><strong>cp</strong><strong>...</strong><strong>}</strong><strong>}$

cp of 1st buffalo + cp of 2nd buffalo

$\frac{2000000}{90} + \frac{2000000}{105}$

$2000000( \frac{1}{90} + \frac{1}{105} )$

$2000000( \frac{105}{105} \frac{ + }{ \times } \frac{90}{9} )$

$2000000( \frac{65}{105 \times 3} )$

$200000 (\frac{13}{21 \times 3} )$

$\frac{2600000}{63}$

$41269.83$

$\</strong><strong>b</strong><strong>l</strong><strong>u</strong><strong>e</strong><strong>{\underline\textbf{</strong><strong>sp</strong><strong> </strong><strong>=</strong><strong> </strong><strong> </strong><strong>4</strong><strong>0</strong><strong>,</strong><strong>0</strong><strong>0</strong><strong>0</strong><strong>}</strong><strong>}</strong><strong>$

$\</strong><strong>b</strong><strong>l</strong><strong>u</strong><strong>e</strong><strong>{\underline\textbf{</strong><strong>cp</strong><strong> </strong><strong>=</strong><strong> </strong><strong> </strong><strong>4</strong><strong>1</strong><strong>,</strong><strong>2</strong><strong>6</strong><strong>9</strong><strong>.</strong><strong>8</strong><strong>3</strong><strong>}</strong><strong>}$

since,

cp > sp

he made a loss...

$\green{\underline\textbf{</strong><strong>loss</strong><strong> </strong><strong>=</strong><strong> </strong><strong>cp</strong><strong> </strong><strong>-</strong><strong> </strong><strong>sp</strong><strong>}</strong><strong>}</strong><strong>$

$= 41269.83 - 40000$

$= 1269.83$

therefore, his overall lose is $ 1,269.83

❗hope!!...it helps uhh...❗