Question

1. Find the gain or loss percent
(a) C.P = Rs.900 and S.P = Rs.1080
(b) C.P = Rs.2400 and S.P = Rs.2250
(c) C.P = Rs.750 and S.P = Rs.850
(d) C.P = Rs.10200 and S.P = Rs.8670

Answer 1

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✓ The price at which an article is purchased, is called it's 'Cost Price', abbreviated as C.P

✓ The price at which an article is sold, is called it's 'Selling Price', abbreviated as S.P

✓ GAIN : If SP is greater than CP, then Seller is said to have a Profit or Gain

GAIN = SP - CP

GAIN% = $\dfrac{Gain}{C.P} × 100$

✓ LOSS : If the SP is less than CP, then Seller is said to have incurred a Loss.

LOSS = CP - SP

LOSS% $\dfrac{Loss}{C.P} × 100$

✓✓✓ Loss or Gain is always reckoned on C.P

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(a)
Given,
CP = Rs. 900
SP = Rs. 1080

Here,

-- Find Gain
Gain = 1080 - 900 = Rs. 189

--- Find Gain%
Gain% = $\frac{Gain}{C.P} × 100$

Gain% = $\frac{180}{900} × 100$

Gain% = $\frac{180}{9}$

Therefore, Gain% = 20

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(b)
Given,
CP = Rs. 2400
SP = Rs. 2250

Here,
SP < CP.
So the Seller is said to have 'Loss'
where, Loss = CP - SP

--- Find Loss
Loss = 2400 - 2250 = Rs. 150

--- Find Loss%

Loss% = $\frac{Loss}{C.P}× 100$

Loss% = $\frac{150}{2400}×100$

Loss% = $\frac{25}{4}$

Therefore, Loss% = 6.25

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(c)
Given,
CP = Rs. 750
SP = Rs. 850

Here,
SP > CP.
So the Seller is said to have 'Profit' or 'Gain'
where, Gain = SP - CP

--- Find Gain
Gain = 850 - 750 = Rs. 100

--- Find Gain%
Gain% = $\frac{Gain}{C.P} × 100$

Gain% = $\frac{100}{750} × 100$

Gain% = $\frac{40}{3}$

Therefore, Gain% = 13.33

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(d)
Given,
CP = Rs. 900
SP = Rs. 1080

Here,
SP < CP.
So the Seller is said to have 'Loss'
where, Loss = CP - SP

--- Find Loss
Loss = 10200 - 8670 = Rs. 1530

--- Find Loss%
Loss% = $\frac{Loss}{C.P} × 100$

Loss% = $\frac{1530}{10200} × 100$

Loss% = $\frac{1530}{102}$

Therefore, Loss% = 15

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Answer 2

SOLUTION :-

C.P = Cost Price

S.P = Selling Price

> greater than

< smaller than

Now,

If C.P > S.P than there will be Loss

If C.P < S.P than there will be Profit

Loss = C.P - S.P

Profit = S.P - C.P

Loss % = $\frac{Loss}{C.P} \times 100$

Profit % = $\frac{Profit}{C.P} \times 100$

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(a) C.P = Rs.900 and S.P = Rs.1080

Here,

C.P < S.P

than there will be Profit

Profit =  S.P - C.P

Profit = Rs 1080  - Rs 900

Profit = Rs 180

Now,

Profit % = $\frac{Profit}{C.P} \times 100$

Profit % = $\frac{180}{900} \times 100$

Profit % = 20%

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(b) C.P = Rs.2400 and S.P = Rs.2250  

Here,

C.P > S.P

than there will be Loss

Loss =  C.P - S.P

Loss = Rs 2400 - Rs 2250

Loss = Rs 150

Now,

Loss % = $\frac{Loss}{C.P} \times 100$

Loss % = $\frac{150}{2400} \times 100$

Loss % = 6.25%

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(c) C.P = Rs.750 and S.P = Rs.850

Here,

C.P < S.P

than there will be Profit

Profit =  S.P - C.P

Profit = Rs 850  - Rs 750

Profit = Rs 100

Now,

Profit % = $\frac{Profit}{C.P} \times 100$

Profit % = $\frac{100}{750} \times 100$

Profit % = 13.33%

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(d) C.P = Rs.10200 and S.P = Rs.8670

Here,

C.P > S.P

than there will be Loss

Loss =  C.P - S.P

Loss = Rs 10200 - Rs 8670

Loss = Rs 1530

Now,

Loss % = $\frac{Loss}{C.P} \times 100$

Loss % = $\frac{1530}{10200} \times 100$

Loss % = 15%