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If p : q = 5 : 7 " and " p - q = - 4, t...

If `p : q = 5 : 7 " and " p - q = - 4`, then find the value of ` (3p + 4q)`.

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We have , ` p : q = 5 : 7 " or, " p/q = 5/7 = (5k)/(7k) [k ne 0]`
` :. ` Let ` [ = 5k " and " q = 7k`.
Also, ` p - q = - 4 " or, " 5k - 7k = - 4 " or, " - 2k = - 4 " or, " k = (-4)/(-2) = 2`.
` :. P = 5k = 5 xx 2 = 10 " and " q = 7k = 7 xx 2 = 14`.
` :. 3p + 4q = 3 xx 10 + 4 xx 14 = 30 + 56 = 86`.
Hence the required value = 86.
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CALCUTTA BOOK HOUSE-RATIO AND PROPORTION-EXAMPLES (Short-answer type questions)
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  2. Find the mixed ratios of the ratios a/b : c , b/c : a , c/a : b.

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  3. Calculate what ratio and x^(2) : yz will form the mixed ratio xy : ...

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  4. Find the compound ratio of the inverse ratios of the ratios x^(2) : (...

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  5. Find the compound ratio of the ratios (x + y) : (x - y), (x^(2) + y^(...

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  6. If A : B = 2 : 3 , B : C = 4 : 5 " and " C : D = 6 : 7 , then find A :...

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  7. If x : y = 2 : 3 , y : z = 4 : 7 , then find x : y : z.

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  8. If x : y = 3 : 4, then find (3y - x) : (2 x + y).

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  9. If p : q = 5 : 7 " and " p - q = - 4, then find the value of (3p + 4...

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  10. If (5x - 3y) : (2x + 4y) = 11 : 12, then find x : y.

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  11. If (10 x + 3y) : (5x + 2y) = 9 : 5, then show that (2x + y) : (x + 2y)...

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  12. What term should be subtracted each of the ratio a : b to make the rat...

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  13. What term should be added to antecedent and subtracted from consequent...

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  14. If a/2 = b/3 = c/4 = (2a - 3b + 4c)/p, then find the value of P .

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  15. If (3x-5y)/(3x+5y) = 1/2. Then find the value of (3x^(2)-5y^(2))/(3x^(...

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  16. If a : b = 3 : 4 " and " x : y = 5 : 7, then find the value of (3ax...

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  17. If x , 12 , y, 27 are in continued proportion, then find the positive...

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  18. If a : b = 3 : 2 " and " b : c = 3 : 2 , then find the value of the ...

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  19. Find the mean - proportional of (a + b)^(2)" and " (a - b)^(2).

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