Solving an Equation with Variables on One Side

Q.

The boys and girls in the college are in the ratio $3:2.$ If $20\%$of the boys and $25\%$of the girls are adults, what is the percentage of students who are not adults?

1. $80\%$

2. $75\%$

3. $78\%$

4. $50\%$

Q.

The marked price of an article when it is sold for $\mathrm{Rs}.880$ after a discount of $12\%$ is ______.

Q. In a test with total of 60 questions, 3 marks is awarded for a correct answer and 1 mark is deducted for each wrong answer. Also, no marks is awarded or deducted for not attempting the question. Ranjan has got 110 in the particular test and he had not attempted 10 questions. How many questions did he answer correctly?

1. 35
2. 50
3. 55
4. 40

Q.

The share of $A$ when $₹25$ are divided between $A$ and $B$ so that $A$ gets$₹8$more than $B$ is _________.

Q. If a train runs at 40 kmph, it reaches the destination 15 minutes late. But if the train runs at 50 kmph, it is late by 5 minutes. Find the distance covered by the train.

1. 50 km
2. 43 km
3. 33 km
4. 30 km

Q. A person travels a certain distance with a speed of 10 km/hr and travels rest of the distance at a speed of 20 km/hr. If the total distance he travels is 15 km and all together he travels for one hour, then how much distance does he travel at a speed of 10 km/hr?

1. 10 km
2. 20 km
3. 7 km
4. 5 km

Q. Find the value of $x$ from the following figure.

1. ${40}^{\circ }$
2. ${60}^{\circ }$
3. ${50}^{\circ }$
4. ${49}^{\circ }$

Q.

Find the value of x.

1. 

2. 

3. 

4. 

Q.

Casey paid $\$32$ for a book that was on a sale at $20\%$ off. What was the original price for that book $?$

Q. If $AB\parallel CD$, find the value of $x$ in the following figure.

1. ${25}^{\circ }$
2. ${20}^{\circ }$
3. ${30}^{\circ }$
4. ${35}^{\circ }$

Q. On selling a mobile phone for ₹ 9000, a shop keeper gets a profit of 5%. Find the cost price of the mobile phone.

1. ₹ 8230
2. ₹ 8571
3. ₹ 8550
4. ₹ 7500

Q. Question 10
A pair of linear equations which has a unique solution x = 2 and y = - 3 is
(A) x + y = 1 and 2x – 3y = -5
(B) 2x + 5y = - 11 and 4x + 10y = - 22
(C) 2x – y = 1 and 3x + 2y = 0
(D) x – 4y + 14 = 0 and 5x – y – 13 = 0

Q. Ravi works as a cashier in a bank. He has notes of denominations ₹100, ₹50, and ₹10. The ratio of these notes is 2:3:5 respectively. If the total amount of cash with Ravi is ₹4, 00, 000, then the number of ₹50 notes with him is _____.

1. 3000
2. 4000
3. 1000
4. 5000

Q. Question 10
The number of boys and girls in a class are in the ratio7:5.The number of boys is 8 more than the number of girls. What is the total class strength?

Q. ₹1480 is in denominations of ₹10, ₹20 and ₹50. The ratio of ₹10 and ₹20 is 5:6. If there are a total of 60 notes, then the number of ₹50 is

1. 20
2. 24
3. 16
4. 8

Q. Find the value of $x$ in the following figure.

1. ${20}^{\circ }$
2. ${15}^{\circ }$
3. ${10}^{\circ }$
4. ${25}^{\circ }$

Q. In class of 60 students, the number of girls is $\frac{7}{5}$ times the number of boys. How many boys are there in the class?

1. 35
2. 25
3. 20
4. 40

Q. Aman and Ali together can finish a piece of work in 12 days. If Aman alone can finish the same work in 18 days, then Ali alone can complete the same work in how many days?

1. 40 days
2. 32 days
3. 36 days
4. 24 days

Q. Rehana got 24% discount on her frock. If she paid ₹ 532 after discount, what is the marked price of the frock?

1. ₹ 850
2. ₹ 720
3. ₹ 620
4. ₹ 700

Q. If two consecutive numbers are divided by 3 and 2 respectively, then the difference between the second quotient and the first quotient is 4. Find the consecutive numbers.

1. 20, 21
2. 21, 22
3. 22, 23
4. 23, 24

Q. Find the quotient when difference of 985 and 589 is divided by 9.

Q.

The ratio of costs of a washing machine and a television is $4:9$ . Ram spent $₹32500$ for both. Find the cost of washing machine and television.

Q. What is the value of y in the following figure?

1. ${10}^{\circ }$
2. ${20}^{\circ }$
3. ${15}^{\circ }$
4. ${30}^{\circ }$

Q. A woman has to walk a certain distance. She covers the first half at a speed of 5 kmph and the second half at a speed of 8 kmph. If the total time taken by her is 26 minutes, then find the total distance.

1. $\frac{5}{2}$ km
2. $\frac{8}{3}$ km
3. $\frac{4}{3}$ km
4. $\frac{3}{2}$ km

Q.

$290$ coins are in the denominations of $₹5,₹2$ and $₹1$ and are in the ratio $1:4:5$. Find the total values of the coins.

Q. Asmita bought a dress for ₹630 after a discount of 25%. The marked price of the dress is ___

1. ₹960
2. ₹840
3. ₹750
4. ₹800

Q.

A winter jacket is marked down $75\%$ from its original price. According to the new price tag, it now costs$\$52.50$. What was the original price?

Q.

Question 7
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs50 per meter and trouser material that costs him Rs90per meter. For every 2 meters of the trouser material he buys 3 meters of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs36, 600 How much trouser material did he buy?

Q.

A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice, as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

1. None of these

2. 20 hrs

3. 35 hrs

4. Cannot be determined

Q. If three consecutive numbers are divided by 17, 7, 6 respectively and the quotients are added, the result is 13. The second number is

1. 35