Question

FOR 10 POINTS






Nidhi purchased two sareers for $2150 each.She sold one saree at a loss of 8% and the other at a gain.If she had a gain of $1230 on the whole transaction, find the selling price of the second saree.


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Answer 1

Solution :-

CP of each Saree = $2150

Total CP of 2 stares = $2150 * 2 = $4300

Loss % on one Saree = 8%

SP of one saree = CP * (100 - loss%)/100

= 2150 * (100 - 8)/100

= 215 * 92/10

= 215 * 9.2

= $ 1978

Let the SP of second Saree be x

Total SP of 2 Sarees = x + 1978

Gain on whole transaction = $1230

⇒ Total SP - Total CP = 1230

⇒ x + 1978 - 4300 = 1230

⇒ x - 2322 = 1230

⇒ x = 1230 + 2322 = 3552

Therefore the selling price of second Saree is $3552.

Answer 2

||✪✪ QUESTION ✪✪||

Nidhi purchased two sareers for $2150 each.She sold one saree at a loss of 8% and the other at a gain.If she had a gain of $1230 on the whole transaction, find the selling price of the second saree.

|| ★★ FORMULA USED ★★ ||

→ SP = CP * (100+ P%)/100 = CP * (100 - L%)/100

→ Profit and loss % are always on CP.

|| ✰✰ ANSWER ✰✰ ||

it has been given that, Nidhi purchased two sareers for $2150 each .

That Means ,

➳ Her overall CP = 2150 * 2 = $4300. -------- Equation(1)

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Now, she sold One saree at a Loss of 8% .

So,

➺ SP1 = CP * (100 - L%)/100

➺ SP1 = 2150 * (100 - 8)/100

➺ SP1 = 2150 * 92 /100

➺ SP1 = $1978 . ------------ Equation (2)

_________________

Now, it has been said that, she had a gain of $1230 on the whole transaction. .

So ,

From Equation (1), we can say that,

➪ overall SP = overall CP + overall gain

➪ overall SP = 4300 + 1230

➪ overall SP = $ 5530 -------------- Equation (3)

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Now , From Equation (2) , we have SP of First saree ,

So, if we subtract Equation (2) , From Equation (3) , we get SP of second saree .

☞ SP of second saree = Overall SP - SP of first saree

☞ SP2 = 5530 - 1978

☞ SP2 = $3552 . -------------- Equation (4).

So, SP of second saree was $3552.

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★★Extra Brainly Knowledge★★

If you want The profit % of second saree on which she sold , we can find now,

☛ CP2 = $2150

☛ SP2 = $3552

☛ Profit = 3552 - 2150

☛ Profit = $1402

☛ Profit % = (Profit in $ * 100) / CP

☛ Profit % = (1402*100)/2150

☛ Profit % = 65.20% (Approx) .

Hence, we can say that, she sold the second saree at a profit of 65.20% to gain $1230 overall.