A sum of Rs 7,444 is divided among 5 ladies, 3 gents and 3 girls. The shares of one lady, one gent and one girl are in the ratio 7 : 4 : 3 respectively. What is the total share received by all the gents together?

Introduction / Context:
This question combines ratios with total amount distribution. The amount is divided among three groups: ladies, gents and girls. Each individual from a group receives money according to a fixed ratio, and there are different numbers of individuals in each group. The problem is to compute the total share of all gents, which requires converting the ratio into actual rupee values based on the total Rs 7,444.

Given Data / Assumptions:
- Total amount to be divided is Rs 7,444.
- Number of ladies = 5.
- Number of gents = 3.
- Number of girls = 3.
- Ratio of the share of a single lady, a single gent and a single girl is 7 : 4 : 3.
- We need the combined share of all gents together.

Concept / Approach:
We first convert the ratio into total parts contributed by each group. A single lady gets 7 parts, so 5 ladies get 5 * 7 parts. A single gent gets 4 parts, so 3 gents get 3 * 4 parts, and a single girl gets 3 parts, so 3 girls get 3 * 3 parts. The sum of all these parts corresponds to the whole Rs 7,444. Once we know the value of one part, we can calculate the total share received by all gents.

Step-by-Step Solution:
Step 1: For ladies, total parts = 5 * 7 = 35. Step 2: For gents, total parts = 3 * 4 = 12. Step 3: For girls, total parts = 3 * 3 = 9. Step 4: Total parts for all people = 35 + 12 + 9 = 56 parts. Step 5: Value of one part = 7,444 / 56. Step 6: Compute 7,444 / 56 = 1,861 / 14 which is approximately 132.93. Step 7: Total share of all gents = 12 parts (from Step 2) multiplied by value per part. Step 8: Gent share = 12 * (1,861 / 14) = (12 * 1,861) / 14 = 11,166 / 7 which is about Rs 1,595.14.

Verification / Alternative check:
To verify, compute the total share for each group and ensure the sum is Rs 7,444. Ladies share = 35 parts * value per part, gents share = 12 parts * value per part, and girls share = 9 parts * value per part. Adding all three should give exactly Rs 7,444, confirming that each part value and the gent share are correctly computed. This check helps prevent arithmetic mistakes when dividing or multiplying fractional values.

Why Other Options Are Wrong:
Rs 1,793.40 and Rs 1,551.50 are close but do not match the precise calculation from the part value and the number of parts allotted to gents. Rs 595.14 is far too small and corresponds roughly to the share of a much smaller number of parts, not the full 12 parts reserved for gents. Only Rs 1,595.14 matches the correct part based computation and thus is the accurate combined share of all gents.

Common Pitfalls:
A common error is to treat the ratio 7 : 4 : 3 as if it applies directly to the total number of people rather than to the share of a single person in each category. Another mistake is to forget to multiply the per person share by the number of people in that group. Some learners also miscalculate the value of one part by dividing 7,444 incorrectly or rounding too early, which leads to inaccurate final answers.

Final Answer:
The total share received by all the gents together is Rs 1,595.14 (approximate to two decimal places).