RATIO & PROPORTION PART 2 BY: MAYANK AGNIHOTRI

QUESTIONS Ques 1. The employer decreases the number of his employees in the ratio 10:9 and increases their wages in the ratio 11:12. What is the ratio of his two expenditures? Sol. Required ratio = 10 x11 : 9 x12-110 : 108-55 : 54 Ans { using compounded ratio formula ) Ques 2. Two numbers are in the ratio 1 :2. If 7 is added to both the numbers, their ratio changes to 3:5. Find the greatest number. Sol. Let the numbers be 1x & 2x according to question-=s 1x+73 2x+7 5 3(2x + 7) = 5(1x + 7) - 6 + 21 = 5x + 35 x=14 greater no. = 2x = 2 14 = 28 Ans

16 Ques 3. The area of a square isof the area of circle. Find the ratio of the side of the square to the diameter of the circle. Sol. Let side of square be 'a' & radius of circle be r' area of square a & area of circle Tr2 2 & area of circle-rr2 a 4 Now A.Ta Diameter = 2r =-= 2: 1 Ans Ques 4. The ratio of two terms is 5:8. On adding these terms we get 91. Find the difference between two terms Sol. Let the two terms be 5x & 8x 1st term = 5 x 7= 35 2nd term = 8 x 7 = 56 .: Difference = 56-35 = 21 Ans

Ques 5. Two numbers are respectively 20% and 50% more than the third number. Find ratio of two numbers. Sol Let third no. be x 20 100 50 100 2 6x 53 2 Ques 6. The two whole no.s whose sum is 72 cannot be in ratio b) 3:5 d) 4: 5 Sol 72

Ques 7. A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share? Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. Then, 4x -3x1000 x = 1000. B's share Rs. 2x -Rs. (2 x 1000)Rs. 2000. Sol. In a mixture 60 liters, the ratio of milk and water 2:1. If this ratio is to be 1:2, then Find the quantity of water to be further added Ques 8. Quantity of milk = 60 -= 401 New ratio 1:2 & Quantity of water = 60 = 201 Let quantity of water to be added-x .. milk : water = 40: 20 + x 20 + x = 80 x = 60 l Ans -=- 20+x 2

Ques 9. If ratio of x & y is 3: 2 then find the ratio of X x3 Sol y 2 Using componendo and dividendo formula =-=-=5: 1 Ans x-y 3-21

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Mayank Agnihotri

B.Tech (ECE), Machine enthusiast, Inspired by an old hindi saying " Gyan baatne se badhta ha"

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Raj Kumar

7 months ago

thank you so much 👌🙏

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