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The ratio of incomes of P and Q is 5 : 3. Ratio of income of Q and R is 5 : 2. If one-fourth of P’s income is Rs. 500 more than the R’s income, then what is the income (in Rs) of Q?1). 75002). 150003). 300004). 18000 |
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Answer» Given ratio of INCOME of P : Q = 5 : 3, Q : R = 5 : 2 ⇒ In both the ratios, the common term is ‘Q’. Make the value with respect to ‘Q’ same in both the ratio ⇒ Multiply both numerator and denominator on other side of the ratio (P: Q) with 5 and of ratio (Q: R) with 3, we get ⇒ P: Q = (5 × 5): (3 × 5), Q: R = (5 × 3): (2 × 3) ⇒ P: Q = 25 : 15, Q : R = 15 : 6 ⇒ Combining both the ratios we get, P : Q : R = 25 : 15 : 6 ⇒ LET the incomes be 25x, 15x, 6x ⇒ From the condition, ¼ (25x) = 500 + 6x ⇒ (25x/4) - 6x = 500 ⇒ (25x - 24X)/4 = 500 ⇒ (x/4) = 500 ⇒ x = 500 × 4 = Rs. 2000 ∴ Q’s income = 15 × 2000 = Rs. 30000 |
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