Question

a) The difference between simple and compound interest on a sum of money at 20% per annum for 3 years is Rs. 48. What is the sum?

b) A milkman sells cow milk at the rate of Rs. 55 litre including a profit 12 per cent. He also sells buffalo milk at the rate of Rs. 36 per litre including a profit of 20%. How much profit will he earn in five days if he sells 8 litres of cow milk and 10 litres of buffalo milk per day?

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Answer 1

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Question = a) The difference between simple and compound interest on a sum of money at 20% per annum for 3 years is Rs. 48. What is the sum?

Answer :- a) Assume that sum is p

= P(r/100)2× ((r/100)+3)
48 = P×(20/100)2×(20/100)+3
48 = P×4/100×16/5;
48 = P×64/500;
= 64P = 48×500;
Hence, P = Rs. 375.


Question :- b) A milkman sells cow milk at the rate of Rs. 55 litre including a profit 12 per cent. He also sells buffalo milk at the rate of Rs. 36 per litre including a profit of 20%. How much profit will he earn in five days if he sells 8 litres of cow milk and 10 litres of buffalo milk per day?

Answer :- Total cow milk sold = 5×8 = 40 litres
Total buffalo milk sold = 5×10 = 50 litres 

SP of 40 litres cow milk = 40×55 = Rs. 2200. 
So,
Profit on cow's milk = (2200×12)/112 = Rs. 235.71
Profit on buffalo's milk = (50×36×20)/120 = Rs. 300

Total Profit = 235.71+300 = Rs. 535.71