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1.  

Directions (Q 37–40): The monthly incomes of X, Y and Z are in the ratio 3 : 4 : 6. X, Y and Z spend 60%, 70% and 75% of their incomes respectively, and Z saves ₹ 9,000 a month.

Y's monthly expenditure is:

Correct Answer: B [₹ 16,800]

Explanation:

Z saves 25% of 6x = 9,000 → x = 6,000 → Y earns 24,000 → spends 70% = ₹ 16,800.

2.  
(Use the directions above – Ratio, Proportion, Partnership, Averages & Ages, Q 37–40)
The ratio of the savings of X, Y and Z is:

Correct Answer: C [4 : 4 : 5]

Explanation:

7,200 : 7,200 : 9,000 = 4 : 4 : 5.

3.  
(Use the directions above – Ratio, Proportion, Partnership, Averages & Ages, Q 37–40)
The average monthly expenditure of the three is:

Correct Answer: A [₹ 18,200]

Explanation:

(10,800 + 16,800 + 27,000)/3 = ₹ 18,200.

4.  
(Use the directions above – Ratio, Proportion, Partnership, Averages & Ages, Q 37–40)
If X's income rises by 25% and his expenditure by 10%, his new monthly saving is:

Correct Answer: D [₹ 10,620]

Explanation:

Income 22,500; expenditure 11,880 → saving ₹ 10,620.

5.  
A starts a business with ₹ 24,000. After 3 months B joins with ₹ 36,000, and after 6 months (from the start) C joins with ₹ 48,000. After 9 months A withdraws half his capital. Out of a year-end profit of ₹ 1,20,000, C gets:

Correct Answer: B [₹ 40,000]

Explanation:

In thousands: A = 24 × 9 + 12 × 3 = 252, B = 36 × 9 = 324, C = 48 × 6 = 288 → 7 : 9 : 8 → C = 8/24 × 1,20,000 = ₹ 40,000.

6.  
The present ages of three sisters are in the ratio 2 : 3 : 4. Five years hence the sum of their ages will be 87 years. The eldest sister's present age is:

Correct Answer: E [32]

Explanation:

9x + 15 = 87 → x = 8 → 16, 24, 32.

7.  
The average of seven numbers is 40. The average of the first four is 38 and of the last four is 43. The fourth number is:

Correct Answer: C [44]

Explanation:

152 + 172 − 280 = 44.

8.  
Quantity I: the mean proportional between 9 and 64
Quantity II: the third proportional to 8 and 12

Correct Answer: A [Quantity I > Quantity II]

Explanation:

I: √576 = 24. II: 12²/8 = 18.

9.  
What is A's share of the profit?
I. A and B invested in the ratio 3 : 2 for the same period.
II. The total profit was ₹ 40,000.

Correct Answer: D [Both statements together are needed]

Explanation:

I gives only the ratio, II only the total.

10.  
The ratio of boys to girls in a school is 7 : 5. If 40 boys leave and 40 girls join, the ratio becomes 9 : 11. The total number of students is:

Correct Answer: A [300]

Explanation:

(7x − 40)/(5x + 40) = 9/11 → 77x − 440 = 45x + 360 → x = 25 → 12 × 25 = 300.

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