**ML Aggarwal CBSE Solutions Class 8 Math 6th Chapter Percentage and its Applications Exercise 6.2**

**(1) **(i) CP = 400/-

SP = 468/-

Profit = 468 – 400 = 68

Profit % = Profit/CP X 100

= 68/400 X 100

= 17 % (Ans)

(ii) C.P. = 13600/-

S.P. = 12104/-

Loss = 13600 – 12104 = 1496/-

Loss % = Loss/CP X100

= 1496/13600 X100

= 11 % (Ans)

**(2) **S.P = RS 1636.25

Gain = RS 96.25

CP = 163.25 – 96.25 [∵Cp = Sp – gain]

= Rs 1540.00

∴ gain % = gain/CP X100

96.25/154.00 X100

= 6.25% (Ans)

**(3) **SP = 770/-

Loss = 110/-

∴ CP = SP + Loss [∵ Loss = CP – SP]

= 770 + 110

= 880/-

∴ Loss % = Loss/CP X100

= 110/880 X100

= 12.5 % (Ans)

**(4) **1 dozen = 12 egg

Price of 1 dozen (12 egg) = 9.60/-

∴ Price of 25 dozen (25X12) = 9.60X25

∴ Price of 25 dozen (300 eggs) = 240/-

∴ Price of 300 eggs = 240/-

∴ Price of 30 eggs = 240/300 X30

= 24/-

∴ Price of 1 eggs = 24/30 = 0.8/-

No of remaining egg = (300 – 30)

= 270 eggs

Given, she sold 270 egg = 270X1

= 270/-

Her gain = 270 – 240 = 30/-

Gain % = 30/240 X100

= 25/2 = 12.5%

**(5) **CP = 20000/-

Repairing cost = 1400/-

∴ Total expenditure = 20000 + 1400

= 21400/-

Profit = 20%

SP = 21400X120/100

= 25,680/-

**(6) **Cost price 1 bicycle = 1200/-

∴ Cost price of 200 bicycle = 1200X200 = 240000/-

Transportation cost of 200 bicycle = 200X30

= 6000/-

∴ Total expenditure = 240000 + 6000 + 4000

= 250000/-

SP of 200 bicycle = 200X1350 = 270000/-

∴ Profit of bicycle = 270000 – 250000

∴ Profit % = 20000/240000 X100 = 25/3 = 8.33%

**(7) **Let, SP = x

CP = 90% of x

= 90x/100 = 9x/10

∴ Profit = x – 9x/10 = 10x – 9x/10 = x/10

∴ Profit% = x/10/(9x/10) X100

= 33.3% (Ans)

**(8) **CP of notebooks @ 4 = 35/-

CP of notebooks @ 1 = 35/4 /-

SP of notebooks @ 5 = 58/-

∴ SP of notebooks @ 1 = 58/5 /-

∴ gain = 58/5 – 35/4

= 232 – 175/20

= 57/20

(i) gain % = 57/20/(35/4) X100

= 57/20 X 4/35 X100

= 228/7 = 32 4/7 % (Ans)

(ii) Let, x no of note books he should sell.

CP of 1 note book = 35/4 /-

∴ CP of x note book = 35x/4 /-

SP of 1 note book = 58/5 /-

∴ SP of x note book = 58x/5 /-

According to question –

58x/5 – 35x/4 = 171

Or, 232x – 175x/20 = 171

Or, 57x = 171X20

Or, x = 171X20/57

Or, x = 60

∴ 60 no of notebooks he should sell (Ans)

**(9) **CP of no of 3 bananas = 1 /-

∴ CP of no of 1 bananas = 1/3 /-

SP of no of 4 bananas = 1 /-

∴ SP of no of 1 bananas = 1/4 /-

∴ Loss = 1/3 – 1/4

= 4-3/12 = 1/12 /-

∴ Loss % = 1/12/(1/3) X100

= 1/12 X3X100

= 25%

**(10) **1 dozen = 12 eggs

CP of 12 eggs = 36 /-

∴ CP of 1 egg = 36/12 = 3 /-

Profit = 50 %

∴ SP of 1 egg = 150X3/100 = 9/2

= 4.50 /- (Ans)

**(11) **CP of Laptop = 40000/-

CP of mobile = 24000/-

CP of total transaction = 8%

Loss for mobile = 12%

∴ SP of laptop = 40000X108/100

= 43200/-

∴ SP of total whole transaction = 43200 + 21120

= 64320/-

Profit = 64320 – 64000/-

= 320/-

= 1/2 = 0.5% (Ans)

**(12) **CP of 1^{st} gadget = 44000/-

CP of 2^{nd} gadget = 44000/-

Loss for 1^{st} gadget = 12%

Profit for 2^{nd} gadget = 10%

SP of 1^{st} gadget = 88X44000/100

= 38720/-

SP of 2^{nd} gadget = 110X44000/100

= 48,400/-

Total CP of two gadget = 44000+44000

= 88000/-

Total SP of two gadget = 38720+48400

= 87120/-

∴ Overall loss = 88000 – 87120

= 880/-

**(13) **(i) SP = 450/-

Loss = 10%

CP = 450X100/90

= 500/- (Ans)

(ii) SP = 690/-

Profit = 15%

CP = 690X100/115

= 600/- (Ans)

**(14) **SP_{1} = 3920/-

Gain = 12%

CP = 3920X100/112

= 3500/-

Again SP_{2} = 4375/-

∴ Profit = 4375 – 3500

= 875/-

∴ Profit% = 875/3500 X100

= 25% (Ans)

** **

** **

** (16) **SP_{1} of sweater = x

∴ Loss = 5%

∴ CP = 100x/95

Now, SP_{2} when profit 15% = (100x/95) X115/100

= 100x X 115/100 X 25

= 115x/95 = 23x/19

According to question –

X + 260 = 23x/19

Or, 19x + 4940 = 23x

Or, 23x – 19x = 4940

Or, 4x = 4940

Or, x = 4940/4

Or, x = 1235

∴ SP_{1}= 1235

∴ CP = 100 X 1235/95 = 1300/-

**(17) **Let, SP_{1} = x

Loss = 8%

∴ CP = 100x/92

Now, SP_{2} when profit would be 12% = 112X (100x/92)/100

= 112 X 100x / 100X92

= 112x/92

According to question –

X + 150 = 112x/92

Or, 92x + 13800 = 112x

Or, 112x – 92x = 13800

Or, 20x = 13800

Or, x = 13800/20

Or, x = 690

∴ SP_{2} = 690/-