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If $5\%$ income of P is equal to $15\%$ income of Q and $10\%$ income of Q is equal to $20\%$ income of R. If income of R is $₹ 2000$, then what are the incomes of P and Q respectively?

  1. ₹$4000$ and ₹$8000$
  2. ₹$12000$ and ₹$4000$
  3. ₹$15000$ and ₹$5000$
  4. ₹$18000$ and ₹$6000$
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Given that,  Income: $5\%P = 15\%Q \implies 5P = 15Q \implies \boxed{P = 3Q}$

And, Income : $10\%Q = 20\%R \implies 10Q =20R \implies \boxed{Q = 2R}$

The income of $R = ₹2000,$ now the income of $Q = 2 \times 2000 = ₹ 4000,$ and income of $P = 3 \times 4000 = ₹12000.$

So, the correct answer is $(B).$
Answer:

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