# TCS Papers: Sample Questions 169 - 171 of 502

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## Question number: 169

### Write in Short

A spends 90 % of his salary and B spends 85 % of his salary. But savings of both are equal. Find the income of B, if sum of their incomes is Rs. 5000.

### Explanation

As A is spending 90 % of his salary, his savings of his salary. ‎As B is spending 85 % of his salary, his savings of his salary. ‎Given that, both are saving equal amount. ‎Therefore, 10 % of A’s salary = 15 % of B’s salary‎Therefore,

So,

So,

We are asked to find the salary of B.

Sum of their income is Rs. 5000, i. e.

Hence, B’s income is Rs. 2000.

## Question number: 170

### Write in Short

One fast typist type some matter in 2hr and another slow typist type the same matter in 3hr. If both do combine in how much time they will finish?

### Explanation

• One fast typist can type matter in 2 hr and another slow typist can type same matter in 3 hr.
• If both work together then they can complete the work in,

## Question number: 171

### Write in Short

In a fraction, if 1 is added to both the numerator and the denominator, the fraction becomes . If numerator is subtracted from the denominator, the fraction becomes 3/4. Find the fraction.

### Explanation

• Let the original fraction be x/y.
• If 1 is added to both numerator and denominator, fraction becomes ½.
• (x + 1) / (y + 1) = ½…… (i)
• If numerator is subtracted from denominator the fraction becomes ¾.
• x/ (y - x) = ¾……. . (ii)
• Solving both the equations,
• x = 3 and y = 7
• So, original fraction will be 3/7.