1.

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

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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