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\ 02-Jan-2025 Bharat Arora Proof-2 Reader’s Sign _______________________ Date __________

12. Assertion (A): A man purchased a cistern for ₹1,040 and sold it for ₹1352. His gain per cent
is 30%.

100
Reason (R): In case of gain, CP =    100 + P%    × SP .

B. Fill in the blanks.

1. The cube of every ................. number is even.
2. A man marked a box for `3000 and sold for `2850 at a discount of .................

3. The sum of the first n odd natural numbers is .................
4. If one diagonal of a rectangle is 12 cm long, length of the other diagonal is .................

5. 5% GST is charged on an article marked `2000 after allowing a discount of 5%, then the
amount payable is .................
C. State whether the following statements are True (T) or False (F).

1. The number of digits in the square root of 14884 is 3.
2. Diagonals of a rhombus bisect each other at 90°.

3. The upper limit of the continuous class-interval 45-55 is 55.

4. If 8% of a number is 48, then the number is 580.
5. If the four angles of a quadrilateral are in the ratio of 9 : 8 : 4 : 15, then the angles are 45°,
40°, 20° and 75°.
D. Attempt the following questions.

1
1. The product of two rational number is 4. If one of the number is , find the other.
6
2. The sum of three consecutive multiples of 7 is 777. Find the numbers.

3. Rohan’s monthly salary is `72,000. He plans his monthly budget as shown in the table.
Represent the given data using a circle graph.
Item Amount (`)

House rent 12,000

Education 16,000
Food 16,000

Medical 9,000

Others 9,000
Saving 10,000

4. What is the value of 18 – 17 ?
3
3
5. Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 147456. Find the
numbers.

6. Find the amount and compound interest on `40,000 for 2 years at 10% per annum compounded
half-annually.

Mathematics-8 192