Questions to Practice Ratio for Quantitative Techniques of CLAT 2020

Questions to Practice Ratio for Quantitative Techniques of CLAT 2020

  • Garima conducted a survey and it was observed that​​ the ratio of male​​ students​​ to female students who receive elementary education is 7:3. Only 8% of such female students opt for Higher Education. If the total number of​​ students​​ in the country are 30000, calculate the no. of female students who opted for Higher education.

 

  • Arti distributed an amount of Rs. 20000​​ among Hema, Rekha, Jaya and Sushma in the ratio of 2:3:7:5. How much more money should be given to Hema so that Hema and Sushma have equal amount?

 

 

  • In one bowl (500 ml) of Sambhar, the water and other contents are in the ratio 7:3. Find the quantity of water in Sambhar?

 

  • The cyclist A cycles on a cycling track of 40 km in 3 hours and the cyclist B at the same speed will cover how much distance in 18 hours?

 

 

  • From a magic wooden box, two magic blocks are randomly taken out with numbers mentioned on it. Both the numbers are​​ in the ratio 1:3 and the greater number is 27 more than twice the smaller number, find the greater number.

 

  • The ratio of prices of the sunglasses of Rayban and Titan Eye are in the ration 7: 2. If the price of Titan eye is increased by Rs. 1000, the new ratio becomes 2:1. Find the original price of Titan eye sunglass?

 

 

  • A box contains an amount of Rs. 200 in the form of Rs. 2 , Rs. 5 and Rs. 10 coins in the ration of 5: 4: 2. Find the number of Rs. 5 coins.

 

  • The pension of ​​ A, B and C senior citizens of PWD department is in the ratio 3:5:2 and the total of their pensions is Rs. 300000. If we want each of them to have equal pension, how much more should be added to the existing pension of C?

 

  • What is the price of 86 kgs of potato if 1 quintal costs Rs. 1000?

 

 

DO IT ​​ YOURSELF!!!

In a mixed fruit juice carton​​ of I L, the pomegranate juice, the guava juice and the​​ litchi juice are in equal​​ quantities. How much more guava juice should there in the same​​ carton, to make the ratio 1:2:1.

 

 

Solution with Explanation:

  • Let the male students and female students be 7x and 3x respectively

7x+3x = 30000

x = 30000/10 = 3000

Therefore no. of female students = 3x = 9000

No. of female students opting for higher education = (8/100)*9000

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 8* 90 = 720

 

  • Let the money given to Hema, Rekha, Jaya and Sushma be 2x, 3x, 7x and 5x

2x+ 3x+ 7x+5x =​​ 20000

17x = 20000

x = 20000/ 17

 ​​ ​​​​ =​​ Rs. 1176.4

Money to Hema = 2x = 2* 1176.4 = 2352.8 = Rs. 2353 (approx.)

Money to Sushma = 5x = 5 * 1176.4 = Rs. 5882

Equal amount to Jaya and Sushma = (2353 + 5882)/ 2 =Rs. 4117.5

Money that should be given to Hema = 4117.5 – 2353

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = Rs.​​ 1764.5

 

  • Let the water and other contents be 7x and 3x respectively

7x + 3x = 500

x = 50 ml.

Quantity of water in Sambhar = 7*50 = 350 ml.

 

  • Since the speed is constant, therefore

40:3 :: x:18

40/3 = x/18​​ 

x = (40*18)/3

 ​​ ​​​​ = 240 kms

 

  • Let the numbers be x and 3x respectively.

3x = 2x+ 27

X = 27

Greater number = 3x = 3* 27 = 81

 

  • Let the prices of the sunglasses of Rayban and Titan Eye be 7x and 2x respectively.

7x / (2x + 1000) = 2/1

7x = 4x + 2000

x = 2000/ 3 = Rs. 666.66 = Rs.667​​ (approx.)

Original Price of Sunglass of titan eye= Rs. 666.66​​ 

 

  • Let the number of Rs. 2 , Rs. 5 and Rs. 10 coins​​ be 5x, 4x and 2x respectively.

2*(5x) + 5* (4x) + 10 (2x) = 200

10x + 20x+ 20x = 200

x = 200/ 50 = 4

No. of Rs. 5 coins = 4x = 4* 4 = 16 coins

 

  • Let the pension of ​​ A, B and C be 3x, 5x and 2x.

3x + 5x+2x = 300000

10x = 300000

x = 300000/10 = Rs. 30000

Existing pension of C =​​ 2x = Rs. 60000

Equal Pension = 300000/3 = 100000

To be added = 100000- 60000

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = Rs. 40000

 

  • 1 quintal = 100 kgs

Since t is in proportion​​ 

100/1000 = 86/x

1/10 = 86/x

x​​ = Rs. 860

Read the theory on Simple and Compound Interest here.

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