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Question 1:

The marked price of an article is ₹ 530. After two successive discounts, it is sold for ₹ 396.44. If the first discount is $x \%$ and the second discount is $15 \%$, then what is the value of $x$ ?

Question 2:

If a nine-digit number $85345 x 61 y$ is divisible by 72 , then the value of $(2 x-y)$ is:

Question 3:

Find the value of $(5 \times 8)+12 \div 4 \times 2+8-2$

Question 4:

Of the 80 students who took an examination from school B, only 80% managed to pass. School A had 120 more students than that of B taking the exam, and 24 fewer students passed. Find out the pass percentage in school A.

Question 5:

In an exam, the average marks of 40 students is 75. Afterwards, it is found that the marks of 2 students are taken wrong as 56 and 38 instead of 65 and 69. Find the correct average.

Question 6:

The difference between the $\mathrm{Cl}$ and $\mathrm{SI}$ in 2 years at $11 \frac{1}{9} \%$ p.a is Rs $90 .$ Find the principal.

Question 7:

A and B started a business with Rs.15000 and Rs. 18000 respectively. If $\mathrm{A}$ withdrew Rs. 5000 after 3 months, B added Rs.2000 more after 5 months and $\mathrm{C}$ invested Rs. 55000 for last two months. Find the share of $B$ at the end of a year. If the difference between A's and C's share of profit after a year is Rs. 3000 ?

Question 8:

A policeman goes from his home to police station with his bike at a speed of $50 \mathrm{~km} / \mathrm{h}$, he is late by 30 minute. If he goes at $60 \mathrm{~km} / \mathrm{h}$, he is late by only 5 minute. Find the distance between his house and police station. (in $\mathrm{km}$ )

Question 9:

Aarti and Bharti take 30 days and 42 days respectively to complete a work individually. Aarti starts working alone and then a few days later Bharti joins her. In all, they take 20 days to complete the work. After how many days did Bharti join the work?

Question 10:

The volume of a metallic cylindrical pipe is $1232 \mathrm{~cm}^{3}$. If its external radius is $7 \mathrm{~cm}$ and thickness is $2 \mathrm{~cm}$, then the length of the pipe (correct to one decimal place) (in cm) is: (Take $\pi=\frac{22}{7}$ )