Selina solutions

Selina solutions

Grade 7

Profit, Loss and Discount | Exercise 9(B)

Question 1

Q1) Find the cost price, if:

(i) S.P. = Rs. 21 and gain = 5%

(ii) S.P. = Rs. 22 and loss = 12%

(iii) S.P. = Rs. 340 and gain = Rs. 20

(iv) S.P. = Rs. 200 and loss = Rs. 50

(v) S.P. = Re. 1 and loss = 5 p.

Solution:

(i) SP = Rs. 21, Gain = 5%

∴ CP = \frac{SP\times100}{100+gain\%}=\frac{21\times100}{100+5}=\frac{21\times100}{105}=Rs.20

(ii) SP = Rs. 22 , Loss = 12%

∴ CP = \frac{SP\times100}{100-Loss\%}=\frac{22\times100}{100-12}=\frac{22\times100}{88}=Rs.25

(iii) SP = Rs. 340, Gain = Rs. 20

∴ CP = SP - Gain

= 340 - 20 = Rs. 320

(iv) SP = Rs. 200

Loss = Rs. 50

∴ CP = SP + Loss

= 200 + 50 = Rs. 250

(v) SP = Re.1 , Loss = 5 paise

∴ CP = SP + loss

= Re 1 + 5p

= Rs. 1.05

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Question 1

Q1) Find the cost price, if:

(i) S.P. = Rs. 21 and gain = 5%

(ii) S.P. = Rs. 22 and loss = 12%

(iii) S.P. = Rs. 340 and gain = Rs. 20

(iv) S.P. = Rs. 200 and loss = Rs. 50

(v) S.P. = Re. 1 and loss = 5 p.

Solution:

(i) SP = Rs. 21, Gain = 5%

∴ CP = \frac{SP\times100}{100+gain\%}=\frac{21\times100}{100+5}=\frac{21\times100}{105}=Rs.20

(ii) SP = Rs. 22 , Loss = 12%

∴ CP = \frac{SP\times100}{100-Loss\%}=\frac{22\times100}{100-12}=\frac{22\times100}{88}=Rs.25

(iii) SP = Rs. 340, Gain = Rs. 20

∴ CP = SP - Gain

= 340 - 20 = Rs. 320

(iv) SP = Rs. 200

Loss = Rs. 50

∴ CP = SP + Loss

= 200 + 50 = Rs. 250

(v) SP = Re.1 , Loss = 5 paise

∴ CP = SP + loss

= Re 1 + 5p

= Rs. 1.05

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subject-cta
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