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\ 06-Jan-2025 Bharat Arora Proof-7 Reader’s Sign _______________________ Date __________

2. Assertion (A): `1600 amounts to `1681 in one year at a compound interest of 5% per annum,
compounded half-yearly.
 R  2n R
Reason (R): Amount when interest is compounded half-yearly is A = P 1 + 200  , where 200 is


half-yearly rate and 2n is the number of half years.
3. Assertion (A): A second-hand car is bought for `2,25,000 and spent `25,000 for repairs. Then it is
sold for `3,00,000, at a profit of 50%.
100 × SP
Reason (R): In case of profit, CP =
100 + Profit%
C. Fill in the blanks.
1. A sum becomes `3136 after 2 years at 12% p.a. compounded annually. The sum is ............... .
2. A man marked a box for `2500 and sold it for `2125 at a discount of ...............% .

3. ............... is charged on the sale of an item by the government and is added to the bill amount.
4. ............... expenses are the additional expenses incurred by a buyer for an item over and above its
cost of purchase.
5. The loss per cent on selling 140 geometry boxes at the loss of SP of 10 geometry boxes is equal to
............... .
6. 5% GST is charged on an article marked `2000 after allowing a discount of 5%, then the amount
payable is ............... .

D. State whether the following statements are True (T) or False (F).
1. If a number was increased by 20% and then decreased by 20%, then the number remains the same.

2. If number A is 50% less than number B, then number B is 100% more than number A.
3. Abida bought 100 pens at the rate of `3.50 per pen, and a sales tax of 4% was imposed, so she had
to pay `364.
4. Four times a number is a 300% increase in the number, then one-fourth of the same number is a
300% decrease in the number.
5. A man purchased a cistern for `1,040 and sold it for `800. His gain per cent is 30%.

6. 2500 is smaller than 500 by 50%.
E. Answer the following questions.

1. A principal gives `3,200 as simple interest at the rate of 10% p.a. in 2 years. What will be the compound
interest at the rate of 5% p.a. for 3 years on the same principal?

2. Arvind borrows a sum of `2,50,000 at 6% p.a. simple interest for 3 years. On the same day, Asif
borrows the same sum at the same rate of interest but compounded annually for 3 years. Who pays
more interest and by how much?

3. A machine was purchased 3 years ago at `x and its value depreciated by 10% per annum. If its present
value is `1,21,743, what is the value of x?
4. Babli bought 160 kg of mangoes at `48 per kg. She sold 70% of the mangoes at `70 per kg and the
remaining mangoes at `40 per kg. Find Babli’s gain or loss per cent on the whole dealing.
5. John purchased a set of tools with list price `1250 on which the rate of GST is 18%. He also purchased
a packet of nuts and bolts with a list price of `360 on which the rate of GST is 12%. Calculate the
total amount he paid for the purchase of these articles.

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