Question

Salman bought 40 chairs at rupees 175 each he sold one fourth of them at a loss of 8% at what price each must he sell the remaining chairs so as to gain 10% on the whole deal

Answer 1

Answer:

40×1/4

10

8/100×175

14

he sold them at $161

Answer 2

◙ Given ◙

Salman bought 40 chairs at 175 each. He sold one-fourth of them at a loss of 8%.

• Cost price of 1 chair = ₹ 175
• Cost price of 40 chairs = 175 × 40 = ₹ 7000
• Loss percentage (for selling 10 chairs) = 8 %
• Gain percentage = 10 %

◙ To Find ◙

The price at which Salman must sell the remaining chair so as to gain 10% on the whole deal.​

◙ Given ◙

We know,

$\color{red}{\sf{SP=\dfrac{CP \times (100+gain \% )}{100} }}$

Putting the values :-

$\sf{\longrightarrow SP=\dfrac{7000\times(100+10)}{100} }\\\\\sf{\longrightarrow SP=70 \times 110}\\\\\sf{\longrightarrow SP=7700}$

$\rule{170}2$

We also know,

$\color{red}{\sf{SP=\dfrac{CP \times (100-loss \% )}{100} }}$

For 10 chairs, he had a loss of 8 % for each chair.

Putting the values :-

$\sf{\longrightarrow SP=\dfrac{175\times(100-8)}{100} }\\\\\sf{\longrightarrow SP=\dfrac{175 \times 92}{100}}\\\\\sf{\longrightarrow SP=\dfrac{16100}{100} }\\\\\sf{\longrightarrow SP= 161}$

→ Selling price for 10 chairs (at loss) = 161 × 10 = ₹ 1610

To gain 10 % by selling 40 - 10 = 30 chairs, the SP must be :-

$\sf{SP=7700-1610}\\\\\boxed{\sf{\color{lime}{\longrightarrow SP= 6090}}}$

Therefore, Salman must sell the remaining chairs with price ₹ 6090 to have a gain of of 10 %.