1. A person sells his table at a profit of 12 (1/2)% and the chair at a loss of 10% but on the whole he gains Rs 9. On the other hand if he sells the table at a loss of 10% and the chair at a profit of 12 (1/2)% then he neither gains nor loses. Find the cost price of the table and the chair. (2)
- (1) Rs 210, Rs 170
- (2) Rs 200, Rs 160
- (3) Rs 250, Rs 160
- (4) Rs 260, Rs 200
- (5) Rs 200, Rs 180
2. A bucket contains a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold? (1)
- (1) 50 litres, 70 litres
- (2) 14 litres, 70 litres
- (3) 65 litres, 72 litres
- (4) 18 litres, 90 litres
- (5) 45 litres, 70 litres
3. Two fair dices are thrown. Find the probability of getting a sum of two numbers divisible by 2 and 3. (2)
- (1) 5/6
- (2) 1/6
- (3) 3/4
- (4) 5/7
- (5) 7/9
4. A puts Rs 280 more in a business than B, but B has invested his capital for 3 months while A has invested his capital for 4 months. if the share of A is Rs 55 more than that of B out of the total profits of Rs 245, find the total capital in the business. (3)
- (1) Rs 1520
- (2) Rs 1800
- (3) Rs 3320
- (4) Rs 3230
- (5) Rs 3340
5. The compound interest on a certain sum for 2 years is Rs 60.60 and simple interest is Rs. 60. Find the rate of interest per annum and the sum. (4)
- (1) 2%, Rs 1600
- (2) 2%, Rs 1400
- (3) 3%, Rs 1500
- (4) 2%, Rs 1500
- (5) 4%, Rs.1500