# NCERT Class 7 Mathematics Model Paper 2 Questions and Answers Part 6

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37. If 3 articles are sold for the cost price of 4, then what is the profit percentage?

OR

A man bought a car for Rs.60,000 and spent 10% of the cost of the car for the purchase of new tires. At what price should he sell the car to make a gain of 15% ?

Ans:

Let the C.P. of 1 article = Re 1. Then, S.P. of 3 articles = C.P. of 4 article = Rs. 4 C.P of 3 articles = Rs. 3 Profit = Rs 4 – Rs 3 = Re 1. Profit% = 1 3 × 100 = 33 1 3 %

OR C.P of car = `60,000

Amount spent on purchase of new tires = 10% of cost of car

Total cost price = 60,000 + 6000 = `66,000 Profit% = 15%

The price at which he must sell the car

38. A man left 25% of his money to his mother, 55% to his daughter and the remaining `9000 to his brother. How much money did he leave? Find the shares of his mother and daughter.

OR

Find the value of x if

(i) 8% of `x is `100.

(ii) 32% of x kg is 400 kg.

(iii) 35% of `x is `280.

(iv) 45% of x marks is 405.

Ans:

Let man has initially `x

Mother

Daughter

Mother’s share

Daughter’s share

OR

(i)

(ii)

(iii)

(iv)

39. Draw the net of:

(i) A cube

(ii) A triangular prism

(iii) A triangular pyramid

(iv) A cylinder

(i)

(ii)

(iii)

(iv)

40. ABCD is a square field of side 80 m. If EF is perpendicular to DC, find the area of ‘EDC. Also, find the area of the shaded portion.

Ans:

Area of square

Area of

So, area of shaded portion

= Area of square – Area of