If the positions of the digits of a two-digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1 : 2, what is the original number? 

Mr. Duggal invested Rs. 20, 000 with rate of interest at 20 p.c.p.a. The interest was compounded half yearly for first year and in the next year it was compounded yearly. What will be the total interest earned at the end of two years? 

Naresh purchased a TV set for Rs. 11,250 after getting a discount of 10 % on the labeled price. He spent Rs. 150 on transport and Rs. 800 on installation. At what price should it be sold so that the profit earned would have been 15 % if no discount was offered? 

8 men and 4 women together can complete a piece of work in 6 days. Work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working and after 2 days, 4 men left and 4 new women joined, in how many more days will the work be completed? 

The cost of fencing a circular plot at the rate of Rs.15 per meters Rs. 3,300. What will be the cost of flooring the plot at the rate a Rs . 100 per square meter? 

Out of 5 men and 3 women. committee of 3 members is to be formed so that it has 1 woman and 2 men. In how many different ways can it be done? 

Mr. Girdhar spends 50 % of his monthly income on household items and out of the remaining he spends 50% on transport 25% on entertainment, 10% on sports and remaining amount of Rs.900 is saved. What is Mr.Giridhar's monthly income? 

Prakash, Sunil and Anil started a business jointly investing Rs. 11 lakhs, Rs. 16.5 lakhs and Rs 8.25 lakhs respectively. The profit earned by them in the business at the end of three years was Rs. 19.5 lakhs. What will be the 50% of Anil's share in the profit?