Chapter 8 – Comparing Quantities
Assignment − 3
Q.1. Vani invested money for a period from May 2006 to April 2008 at rate of 12% per annum. If interest received by her is ₹ 1620, find the money invested.
Q.2. A person wanted to sell a scooter at a loss of 25%. But at the last moment he changed his mind and sold the scooter at a loss of 20%. If the difference in the two SP’s is ₹ 4000, then find the CP of the scooter.
Q.3. The population of a village is 8000. Out of these, 80% are literate and of these literate people, 40% are women. Find the ratio of the number of literate women to the total population.
Q.4. In an entertainment programme, 250 tickets of ₹ 400 and 500 tickets of ₹ 100 were sold. If the entertainment tax is 40% on ticket of ₹ 400 and 20% on ticket of ₹ 100, find how much entertainment tax was collected from the programme.
Q.5. Rashi earns ₹ 200,000 per month and spends 80% of it. Due to pay revision, her monthly income increases by 20% but due to price rise, she has to spend 20% more. Find her new savings.
Q.6. In an examination, there are three papers each of 100 marks. A candidate obtained 53 marks in the first and 75 marks in the second paper. How many marks must the candidate obtain in the third paper to get an overall of 70 per cent marks?
Q.7. Unequal masses will balance when the following proportion is true:
\( \frac{mass_1}{length_2} = \frac{mass_2}{length_1} \)
What is the mass of the child on the right?
Q.8. An analysis showed that 0.06 per cent of the T-shirts made by one company were defective. A student says this is 6 out of every 100. What is the student’s error?
Q.9. A student said that the ratios \( \frac{3}{4} \) and \( \frac{9}{16} \) were proportional. What error did the student make?
Q.10.
A clothing store charges ₹ 1024 for 4
T-shirts. A student says that the unit price is ₹ 25.6 per T-shirt. What is the
error? What is the correct unit price?
Q.11. A tea merchant blends two varieties of tea in the ratio of 5 : 4. The cost of first variety is ₹ 200 per kg and that of second variety is ₹ 300 per kg. If he sells the blended tea at the rate of ₹ 275 per kg, find out the percentage of her profit or loss.
Q.12. A piece of cloth 5 m long shrinks 10 per cent on washing. How long will the cloth be after washing?
Q.13. Chhotu obtained 426 marks out of 600 and the marks obtained by Lambu are 560 out of 800. Whose performance is better?
Q.14. A memorial trust donates ₹ 5,00,000 to a school, the interest on which is to be used for awarding 3 scholarships to students obtaining first three positions in the school examination every year. If the donation earns an interest of 12 per cent per annum and the values of the second and third scholarships are ₹ 20,000 and ₹ 15,000 respectively, find out the value of the first scholarship.
Q.15. Parag got 99 per cent marks in Mathematics, 76 per cent marks in Hindi, 98 per cent in English, 100 per cent in Science, and 95% in Social Science. If each subject carries 100 marks, then find the percentage of marks obtained by Parag in the aggregate of all the subjects.
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