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Problem Solving - Part 4
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Arka Roy
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1. Ratio and Proportion made easy Problem Solving - Part 4

2. Question 2 numbers are in the ratio P : Q. When 1 is added to both the numerator and the denominator, the ratio gets changed to R:S Again, when 1 is added to both the numerator and the denominator, it becomes 2. Find the sum of P and Q. (A)3 (B) 4 (C)5 (D)6

3. Solution 2(P+2) Q+2 P+1 R 0+1 S Now R+11 S+1 2 P+2 Q+1 P-Q-1 . Hence we may also write P+2 1 Q+2 2

4. Solution Option A:P+Q 3 Option C: PQ5 2 Q 4 3 1 2 2 1+2 3 1 2+2 4 2 Option B : P + Q = 4 1+2 3 1 4+2 6 2 Option D: P+Q 6 Q 5 43 1 2 1+2 3 1+2 31 2+2 4 1 3+2 5 2 5+2 7 2 4+2 6 2

5. Question Rs 5783 is divided among A, B and C in such a way that if Rs 28, Rs 37 and Rs 18 are deducted from their respective shares, they have money in the ratio 4:6:9. Find their individual shares?

6. Solution Let us consider that, after It is also known deduction . A, + B, + C, 5783 Hence 4x 28 + 6x + 37 + 9x + 18 = 5783 ->19x 83 5783 . Hence before reduction .A'4x 28 . B'=6x+37 19x 5783 83 5700 5700 300 C, = 9x + 18

7. Solution Hence the 3 shares are ->4(30028 Rs 1228 B 6x +37 6(300) +37 - Rs 1837 . 9x +18 59300) + 18 2718

8. Thank You Arka Roy