Question

(i) John bought a watch for Rs 540 and sold it for Rs 585. Find his profit and profit percentage.

(ii) A dealer gave 9 % discount on an electric fan and charge Rs 728 from the customer. Find the marked

price of the fan.

(iii) Write the quotient when the sum of a 2 digit number 23 and number obtained by reversing the

digits is divided by

(a) 11 (b) sum of the digits

(iv) The smallest number by which 686 should be divided to make it a perfect cube is.​

Answer 1

Answer:

• 1) Cost price of watch = 540
• selling price of watch = 585
• Here sp is greater than cp ,hence profit
• Profit = Sp - Cp = 585- 540 = 45rupees
• profit percentange = Profit * 100 / cp
• 45 * 100 / 540 = 8.33%

2)

• 2) Marked Price = Discount - selling price
• let marked price be x
• given discount = 9% of x
• Marked price - Discount = Sp
• = x - 9% of x = 728
• = x - 9x/100 = 728
• = 100x - 9x = 728
• 100
• 91x = 728 * 100
• x = 728*100/91
• x = 800
• Marked price = 800

3)

• Given number = 23
• Reversing = 32
• Sum = 23 + 32 = 55
• a) 55/11 = 5
• b) 55/55=1

4)686 = 2*7*7*7

• Since 2 is left out .. divife 686 with 2
• 686/2 = 343
• Cube root of 343 = 7³