# RD Sharma Solutions Class 7 Percentage Exercise 11.6

## RD Sharma Solutions Class 7 Chapter 11 Exercise 11.6

### RD Sharma Class 7 Solutions Chapter 11 Ex 11.6 PDF Free Download

#### Exercise 11.6

Q1. Ashu had 24 pages to write. By the evening, he had completed 25% of his work. How many pages were left?

$Total\;number\;of\;pages=24\\ Number\;of\;pages\;completed=25\%\;of\;24\;pages\\ =\frac{25}{100}\times24\\ =\frac{1}{4}\times24\\ =6\;pages\\ Therefore\;no\;of\;pages\;left= Total-Pages\;completed\\ =\left(24-6 \right )pages\\ =18\;pages$

Q2. A box contains 60 eggs. Out of which $16\frac{2}{3}$ % are rotten ones. How many eggs are rotten?

$Total\;number\;of\;eggs=60\\ Number\;of\;eggs\;rotten=16\frac{2}{3}\%\;of\;60\;eggs\\ =16.66\%\;of\;60\;eggs\;\\ =\frac{16.66}{100}\times60\\ =10\;eggs\\ Therefore\;no\;of\;eggs\;rotten= 10\;eggs\;$

Q3. Rohit obtained 45 marks out of 80. What per cent marks did he get?

$Total\;number\;of\;marks=80\\ Rohit\;obtained=45\\ Required\;percentage=\frac{45}{80}\times100\\ =\frac{9}{16}\times100\\ =56.25\%$

Q4. Mr Virmani saves 12% of his salary. If he receives Rs 15900 per month as salary, find his monthly expenditure.

$Salary=Rs.15900\\ Savings=12\%\;of\;salary\\ =\frac{12}{100}\times\;15900\\ =Rs.1908\\ Therefore\;Expenditures= Salary-Savings\\ =Rs.15900-Rs.1908\\ =Rs.13992$

Q5. A lawyer willed his 3 sons Rs 250000 to be divided into portions 30%, 45% and 25%. How much did each of them inherit?

$Total\;amount=Rs.250000\\ Therefore\\ 30\%\;of\;amount=\frac{30}{100}\times250000\\ =30\times2500\\ =Rs.75000\\ 45\%\;of\;amount=\frac{45}{100}\times250000\\ =45\times2500\\ =Rs.112500 \\ 25\%\;of\;amount=\frac{25}{100}\times250000\\ =25\times2500\\ =Rs.62500\\ Therefore\;portions\;of\;amounts\;are\;Rs.75000,Rs.112500\;and\; Rs.62500$

Q6. Rajdhani College has 2400 students, 40% of whom are girls. How many boys are there in the college?

$Total\;number\;of\;students=2400\\ 40\%\;of\;2400=\frac{40}{100}\times\;2400\\ =40\times24\\ =960 girls\\ Therefore\;no\;of\;boys=Total\;students-girls\\ =2400-960\\ =1440\;boys$

Q7. Aman obtained 410 marks out of 500 in CBSE XII examination while his brother Anish gets 536 marks out of 600 in IX class examination. Find whose performance is better?

$Aman\;scored\;410\;marks\;out\;of\;500\\ =\frac{410}{500}\times100\\ =82\%\\ Anish\;scored\;536\;marks\;out\;of\;600\\ =\frac{536}{600}\times100\\ =89\%\\ Anish\;performance\;is\;better$

Q8. Rahim obtained 60 marks out of 75 in Mathematics. Find the percentage of marks obtained by Rahim in Mathematics.

$Total\;no\;of\;marks=75\\ Rahim\;obtained=60\\ Required\;percentage=\frac{60}{75}\times100\\ =80\%$

Q9. In an orchard, $16\frac{2}{3}$ % of the trees are apple trees. If the number of trees in the orchard is 240, 3 find the number of other type of trees in the orchard.

$Total\;number\;of\;trees=240\\ Apple\;trees=16\frac{2}{3}\times\;240\\ =16.66\%\;of\;240\\ =\frac{16.66}{100}\times240\\ =40\;trees\\ No\;of\; trees\; other\; than\; apple\; tree=Total\;trees-apples\;trees\\ =240-40\\ =40\;trees$

Q10. Ram scored 553 marks out of 700 and Gita scored 486 marks out of 600 in science. Whose performance is better?

$Ram\;obtained\;553\;out\;of\;700\\ Ram\;percentage=\frac{553}{700}\times100\\ =\frac{553}{7}\\ =79\% Gita\;obtained\;486\;out\;of\;600\\ ita\;percentage=\frac{486}{600}\times100\\ =\frac{486}{6}\\ =81\%\\ Therefore\;Gita\;performance\;is\;better$

Q11. Out of an income of Rs 15000, Nazima spends Rs 10200. What per cent of her income does she save?

$Total\;income=Rs.15000\\ Savings=Income-Expenditure\\ =Rs.15000-Rs.10200\\ =Rs.4800\\ Percentage\;of\;income=\frac{4800}{15000}\times100\\=32\%$

Q12. 45% of the students in a school are boys. If the total number of students in the school is 880, find the number of girls in the school.

$Total \;number\; of \;students=880\\ number \;of \;boys=45\%\;of\;880\\ =\frac{45}{100}\times 880\\ =45\times8.8\\ =396boys\\ No\; of \;girls=Total\;students-no\; of\;boys\\ =880-396\\ =484\;girls\\ Therefore\;no\;of\;girls=484\;girls\\$

Q13. Mr. Sidhana saves 28% of his income. If he saves As 840 per month, find his monthly income.

$28\% of\; salary=Rs.840\\ Let\; the\; salary\; of\; Mr.Sidhana\;be\;x 28\%\;of\;x=840\\ x=\frac{840\times100}{28}\\ =Rs.3000\\ Therefore\;Mr.Sidhana\;salary\;is\;Rs.3000$

Q14. In an examination, 8% of the students fail. What percentage of the students pass? If 1650 students appeared in the examination, how many passed?

$Total \;no\; of \;students=1650\\ 8\% \;of\; students \;failed\\ Passed\; students\%=100\%-8\%\\ =92\%\\ Therefore\;number\; of \;students \;passed=92\%\;of \;1650\\ =\frac{92}{100}\times1650\\ =92\times16.5\\ =1518\\ Therefore\;1518\;students\;passed$

Q15. In an examination, 92% of the candidates passed and 46 failed. How many candidates appeared?

$92\%\; of\; students \;passed \;means\; 8\% \;students \;failed\\ Let\; the \;number\; of \;students\; be \;x \;then,\\ 8\%\; of \;x=46\\ x=\frac{46\times100}{8}\\= 575\\ Therefore\; total \;number\; of \;students=575$

#### Practise This Question

The sum of the rational numbers 819 and 457 is _____.