# CTET Maths - Percentage

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• Option : A
• Explanation :

CP of the merchant who calculates his % profit on CP = (3760/1.175) =Rs.3200
His profit = 0.175 x 3760 = Rs.560
Profit of the merchant who calculates his % profit on SP = 0.175 x 3760 = Rs.658
Difference in profit = 658 - 560 =Rs.98.

• Option : B
• Explanation :

Selling price = 800 x 1.25 =Rs. 1000

∴ Marked price =  (1000/0.95) =1053 Rs.

• Option : B
• Explanation :

Let there be n number of balls in each packet.
∴ 6n x 8 = CP + 96
⇒48n = CP + 96  ------------ (i)
Also, 6 (n - 1) x 9 = CP + 90
⇒54n - 54 = CP + 90
54n = CP + 144 ------------(ii)
Solving equations (i) and (ii),
we get, n = 8
∴ CP = 48 x 8 96 = 384 - 96 =  Rs.288
Each packet cost = Rs.48.

• Option : A
• Explanation :

Let CP in A be Rs. x
∴ CP in B = Rs. 0.9x
∴ 0.9x + 15 + 10 = x
⇒0.1x = 25
⇒x = 250
∴Price in B = 250 x 0.9 = Rs.225

• Option : A
• Explanation :

80% of the total proit is divided in the ratio
20000: 24000: 16000 = 5 : 6 : 4
80% of total profit = 5x + 6x + 4x = 15x
Total profit =(15x/80%)= 18.75x
Share of C in profit = 4x + 20% of 18.75
= 4x + 3.75x = 7.75x
∴Share of A in proit = 5x
Share of B in proit = 6x
∴(6z + 5x) - 7.75x = 487.50
⇒3.25x = 487.50
⇒x = 150
∴Total profit = 18.75 x 150 = Z 2812.50.