**Q1. The price of an article is cut by 10%. To restore it to former value. The new price must be increased by**

(a) 10%

(b) 9%

(c) 111/9%

(d) 11%

**Q2. An increase of 20% in the price of mangoes enables a person to purchase 4 mangoes less for Rs. 40. The price of 15 mangoes before increase was**

(a) Rs. 10

(b) Rs. 15

(c) Rs. 20

(d) Rs. 25

**Q3. A reduction of 20% in the price of sugar enables me to purchase 5 kg more for Rs. 600. Find the price of sugar per kg before reduction of price.**

(a) Rs. 24

(b) Rs. 30

(c) Rs. 32

(d) Rs. 36

**Q4. The marked price of an article is Rs. 500. A shopkeeper gives a discount of 5% and still makes a profit of 25%. The cost price of the article is.**

(a) Rs. 384

(b) Rs. 380

(c) Rs. 300

(d) Rs. 376

**Q5. A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price. If the customer pays Rs. 3,402 as the price including the sales tax, then the marked price is**

(a) Rs. 3,400

(b) Rs. 3,500

(c) Rs. 3,600

(d) Rs. 3,800

**Q6. The cost price of a table is Rs. 3,200. A merchant wants to make 25% profit by selling it. At the time of sale he declares a discount of 20% on the marked price. The marked price (in Rs.) is**

(a) 5,000

(b) 6,000

(c) 4,000

(d) 4,500

**Q7. A person lends 40% of his sum of money at 15% per annum, 50% of rest at 10% per annum and the rest at 18% per annum rate of interest. What would be the annual rate of interest, if the interest is calculated on the whole sum?**

(a) 13.4%

(b) 14.33%

(c) 14.4%

(d) 13.33%

**Q8. Ramesh deposited Rs. 15600 in a fixed deposit at the rate of 10% per annum simple interest. After every second year, he adds his interest earnings to the principal. The interest at the end of fourth year is**

(a) Rs. 1716

(b) Rs. 1560

(c) Rs. 3744

(d) Rs. 1872

**Q9. An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and an other contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in the new alloy will be.**

(a) 1/2 kg

(b) 1/8 kg

(c) 3/14 kg

(d) 7/9 kg

**Q10. The ratio in which tea costing Rs. 192 per kg is to be mixed with tea costing Rs. 150 per kg so that the mixed tea, when sold for Rs. 194.40 per kg. gives a profit of 20% is**

(a) 2 : 5

(b) 23 : 5

(c) 5 : 3

(d) 5 : 2

**Q11. The ratio of the quantities of sugar, in which sugar costing Rs. 20 per kg. and Rs. 15 per kg. should be mixed so that here will be neither loss nor gain on selling the mixed sugar at the rate of Rs. 16 per kg.**

(a) 2 : 1

(b) 1 : 2

(c) 4 : 1

(d) 1 : 4

**Q12. Internal bisectors of ∠B and ∠C of ∆ABC interest at O. If ∠BOC = 102°, then the value of ∠BAC is**

(a) 12°

(b) 24°

(c) 48°

(d) 60°

**Q13. The angle between the external bisectors of two angles of a triangle is 60°. Then the third angle of the triangle is**

(a) 40°

(b) 50°

(c) 60°

(d) 80°

**Q14. I is the incentre of ∆ABC, If ∠ABC = 60°, ∠BCA = 80°, then the ∠BIC is**

(a) 90°

(b) 100°

(c) 110°

(d) 120°

**Q15. AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is**

(a) 4

(b) 5

(c) 6

(d) 8