Chapter 8 – Comparing Quantities
Assignment − 4
Q.1. What sum of money lent out at 16 per cent per annum simple interest would produce ₹ 9600 as interest in 2 years?
Q.2. Ballu bought a gas stove for ₹ 900 and later sold it to Tillu at a profit of 5 per cent. Tillu used it for a period of two years and later sold it to Gullu at a loss of 20 per cent. For how much did Gullu get it?
Q.3. In a debate competition, the judges decide that 20 per cent of the total marks would be given for accent and presentation. 60 per cent of the rest are reserved for the subject matter and the rest are for rebuttal. If this means 8 marks for rebuttal, then find the total marks.
Q.4. Divide ₹ 10000 in two parts so that the simple interest on the first part for 4 years at 12 per cent per annum may be equal to the simple interest on the second part for 4.5 years at 16 per cent per annum.
Q.5. ₹ 9000 becomes ₹ 18000 at simple interest in 8 years. Find the rate per cent per annum.
Q.6. In how many years will the simple interest on a certain sum be 4.05 times the principal at 13.5 per cent per annum?
Q.7. The simple interest on a certain sum for 8 years at 12 per cent per annum is Rs 3120 more than the simple interest on the same sum for 5 years at 14 per cent per annum. Find the sum.
Q.8. The simple interest on a certain sum for 2.5 years at 12 per cent per annum is ₹ 300 less than the simple interest on the same sum for 4.5 years at 8 per cent per annum. Find the sum.
Q.9. 150 students are studying English, Maths or both. 62 per cent of students study English and 68 per cent are studying Maths. How many students are studying both?
Q.10. Mr. Sharma deposited Rs 20000 as a fixed deposit in a bank at 10% per annum. If 30% is deducted as income tax on the interest earned, find his annual income.
Q.11. A flowerist buys 100 dozen roses at Rs 2 a dozen. By the time the flowers are delivered , 20 dozen roses are mutilated and are thrown away. At what price should he sell the rest if he needs to make a 20% profit on his purchase?
Q.12. A woman bought 50 dozen eggs at Rs 6.40 a dozen. Out of these 20 eggs were found to be broken. She sold the remaining eggs at 55 paise per egg. Find her gain or loss percent.
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