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Question : The ratio of incomes of Manish and Pankaj is 13 : 7. If Pankaj gets Rs. 6,000 less than Manish, then what is the total income of Manish and Pankaj?
Option 1: Rs. 25000
Option 2: Rs. 20,000
Option 3: Rs. 22,500
Option 4: Rs. 24,000

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Answer (1)

Team Careers360 12th Jan, 2024

Correct Answer: Rs. 20,000

Solution : Let the incomes of Manish and Pankaj as $M$ and $P$, respectively.
Now, $\frac{M}{P}$ = $\frac{13}{7}$
⇒ $M - P$ = 6000
⇒ $M$ = $\frac{13}{7}P$
⇒ $\frac{13}{7}P - P$ = 6000
⇒ $13P - 7P$ = 42000
⇒ $6P$ = 42000
⇒ $P = \frac{42000}{6}$
⇒ $P$ = 7000
⇒ $M = \frac{13}{7}$ × 7000
⇒ $M$ = 13000
⇒ Total income = M + P = 13000 + 7000 = Rs. 20000
Hence, the correct answer is Rs. 20,000.

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