Question

Miraj losses 1/6 of the cost when she sold a chair for rupees 1200 find the cost price of the chair ( plz do in page if possible but the answer should be =₹1440.)​

Answer 1

$\LARGE{ \underline{\underline{ \sf{Required \: answer:}}}}$

GiveN:

• Miraj losses 1/6th of the cost price while selling a chair.
• Selling price of the chair is Rs. 1200

To FinD:

• Cost price of the chair?

Step-by-step Explanation:

We know the relationship of CP, loss and SP:

$\cdot\large{ \boxed{ \rm{CP - Loss = SP}}}$

Here,

• Loss = 1/6 CP
• SP = Rs. 1200

Plugging the given values,

⇒ CP - 1/6 CP = Rs. 1200

⇒ CP (1 - 1/6) = Rs. 1200

⇒ CP × 5/6 = Rs. 1200

⇒ CP = Rs. 1200 × 6/5

⇒ CP = Rs. 1440

Hence,

• The CP of the chair is Rs. 1440

Explore more!!

Let's look into the steps:

• Taking CP common from both the terms.

• Then isolate CP in any one side of the equation by dividing 5/6 because inverse of multiplication is division.

• And we will get the required value of Cost price.

Answer 2

ᴇxᴀᴄᴛ ǫᴜᴇsᴛɪᴏɴ :-

• Miraj losses 1/6 of the cost when she sold a chair for rupees 1200 find the cost price of the chair.

ᴀɴsᴡᴇʀ :-

• ₹ 1440

ᴛᴏ ғɪɴᴅ :-

• The cost price of the chair.

sᴏʟᴜᴛɪᴏɴ :-

Selling price of a chair = ₹ 1200

Let the cost price be ' n '

C.P = x = 1200 + $\frac{1}{6}$

∴ x = 1200 + $\frac{x}{6}$

➦ x - $\frac{x}{6}$ = 1200

➦ $\frac{6x - x}{6}$ = 1200

➦ $\frac{5x}{6}$ = 1200

➦ x = 1200 × $\frac{6}{5}$ striking 1200 to 240 and 5 as 1

➦ x = 240 × $\frac{6}{1}$

➦ x = 240 × 6 = 1440

∴ x = 1440

ғɪɴᴀʟ ᴀɴsᴡᴇʀ :-

• The cost price of the chair = ₹ 1440