Question

Meenu bought two fans for Rs.1200 each. She sold one at
a loss of 5% and the other at a profit of 10%. Find the selling price of each. Also find out the total profit or loss.​

Answer 1

$\huge\gray{\textsf{\textbf Given}}$

$\tt\longrightarrow{Meenu\: bought\: two\: fans\: for\: Rs.1200\: each.}$

$\tt\longrightarrow{She\: sold\: one\: at\: a\: loss\: of\: 5}$%.

$\tt\longrightarrow{The\: other\: sold\: at\: a\: profit\: of\: 10}$%.

$\huge\gray{\textsf{\textbf To find}}$

$\tt\longrightarrow{The total profit or loss.}$

$\huge\gray{\textsf{\textbf Solution}}$

Overall CP of each fan = $\sf{Rs 1200}$

One is sold at a loss of 5%.

This means if CP is Rs $\sf{Rs 100}$, SP is Rs $\sf{95}$

⠀

Therefore, when CP is Rs $\sf{Rs 1200}$,

then SP = Rs $\sf{\dfrac{95}{100} × 1200 = Rs 1140}$

Also second fan is sold at a profit of 10%.

It means, if CP is Rs 100, SP is Rs 110.

Therefore, when CP is Rs 1200,

then SP = Rs $\sf{\dfrac{110}{110} × 1200 = Rs 1320}$

⠀

Total CP = $\sf{Rs 1200 + Rs 1200 = Rs 2400}$

Total SP = $\sf{Rs 1140 + Rs 1320 = Rs 2460}$

⠀

Since total SP> total CP, a profit of Rs (2460 - 2400) or Rs 60 has been made.