MISCELLANEOUS EXERCISE - 1 -Solve the following problems.1. A salesman gets a commission of 6.5% on the total sales made by him and bonus of 1% on sales over Rs.50,000. Find his total income on a turnover of Rs.75,000.2. A shop is sold at 30% profit, the amount of brokerage at the rate of 3/4 % amounts to Rs.73,125. Find cost of the shop.3. A merchant gives 5% commission and 1.5% del credere to his agent. If the agent sells goods worth Rs.30,600 how much does he get? How much does the merchant receive?4. After deducting commission at 7 1/2 % on first Rs.50,000 and 5% on balance of sales made by him, an agent remits Rs.93750 to his principal. Find the value of goods sold by him.5. The present worth of Rs.11,660 due 9 months hence is Rs.11,000. Find the rate of interest.6. An article is marked at Rs.800, a trader allows a discount of 2.5% and gains 20% on the cost. Find the cost price of the article7. A salesman is paid fixed monthly salary plus commission on the sales. If on sale of Rs.96,000 and Rs.1,08,000 in two successive months he receives in all Rs.17,600 and Rs.18,800 respectively. Find his monthly salary and rate of commission paid to him.8. A merchant buys some mixers at 15% discount on catalogue price. The catalogue price is Rs.5,500 per piece of mixer. The freight charges amount to 2 1/2 % on the catalogue price. The merchant sells each mixer at 5% discount on catalogue price. His net profit is Rs.41,250. Find number of mixers.9. A bill is drawn for Rs.7000 on 3rd May for 3 months and is discounted on 25th May at 5.5%. Find the present worth.10. A bill was drawn on 14th April 2005 for Rs.3,500 and was discounted on 6th July 2005 at 5% per annum. The banker paid Rs.3,465 for the bill. Find the period of the bill.11. The difference between true discount and banker’s discount on 6 months hence at 4% p.a. is Rs.80. Find the true discount, banker’s discount and amount of the bill.12. A manufacturer makes clear profit of 30% on cost after allowing 35% discount. If the cost of production rises by 20%, by what percentage should he reduce the rate of discount so as to make the same rate of profit keeping his list prices unaltered.13. A trader offers 25% discount on the catalogue price of a radio and yet makes 20% profit. If he gains Rs.160 per radio, what must be the catalogue price of the radio?14. A bill of Rs.4,800 was drawn on 9th March 2006 at 6 months and was discounted on 19th April 2006 for 6 1/4 % p.a. How much does the banker charge and how much does the holder receive?15. A bill of Rs.65,700 drawn on July 10 for 6 months was discounted for Rs.65,160 at 5% p.a. On what day was the bill discounted?16. An agent sold a car and charged 3% commission on sale value. If the owner of the car received Rs.48,500, find the sale value of the car. If the agent charged 2% from the buyer, find his total remuneration.17. An agent is paid a commission of 4% on cash sales and 6% on credit sales made by him. If on the sale of Rs.51,000 the agent claims a total commission of Rs.2,700, find the sales made by him for cash and on credit.