Question

A dealer gets Rs 30 less if instead of selling a chair at a gain of 12% he sells it at a gain of 8%. Find the cost price of the chair.

Answer 1

Answer:

₹ 750

Step-by-step explanation:

Let CP = x

Gain = 12 %

SP = x × (100+12)/100

= x × 112/100

= 28x/ 25

CP = x

Gain = 8 %

SP = x × (100+8)/100

= x × 108/100

= 27x/25

Loss = SP 1 – SP 2

₹ 30 = 28x/25 - 27x/25

₹ 30 = 28x – 27x/25

₹ 30 = x/25

₹ 30 × 25 = x

Therefore x = ₹ 750

Answer 2

Answer:

price of the chair = ₹ 750

Step-by-step explanation:

Let the CP be "$x$"

Gain   = 12%

SP      = $x$ ×  (100 + 12)/100

         = $x$ × 112 ÷ 100

        = 28$x$ ÷ 25

CP    = $x$

Gain = 8%

SP     = $x$ × (100 +8) ÷ 100

        = $x$ × 108 ÷ 100  

         = 27$x$ ÷ 25

Loss  = SP 1 - SP 2

₹30  = 28$x$ ÷ 25 - 27$x$ ÷ 25

₹30   = 28$x$ - 27$x$ ÷ 25

₹30   = 1$x$ ÷ 25

x       = ₹30 × 25

x       = ₹ 750

Hope This Helps You

Have A Good Day :)