Six men, eight women, and six children complete a job for Rs. 950. If individual daily wages are in the ratio 4 : 3 : 2 respectively, what is the total amount earned by the children?

Introduction / Context: This problem distributes a total payment according to weighted shares. Each group member earns in fixed ratio units, so the total amount is split by total ratio shares.

Given Data / Assumptions:

• Total payout = Rs. 950.
• Per person wage ratios: man : woman : child = 4 : 3 : 2.
• Counts: men = 6, women = 8, children = 6.

Concept / Approach: Compute total ratio shares = (men * 4) + (women * 3) + (children * 2). Then value of one share = total amount / total shares. Finally, multiply by the children’s total shares.

Step-by-Step Solution: Men shares = 6 * 4 = 24. Women shares = 8 * 3 = 24. Children shares = 6 * 2 = 12. Total shares = 24 + 24 + 12 = 60. Share value = 950 / 60 = 15.8333... Children’s amount = 12 * 15.8333... = Rs. 190.

Verification / Alternative check: Sums for all groups equal 950 when each share is valued at 950/60, confirming the distribution is correct.

Why Other Options Are Wrong: Rs. 195, Rs. 215, Rs. 230 correspond to different share allocations and do not match the exact proportional split.

Common Pitfalls: Forgetting to multiply by the number of people in each group, or adding ratios incorrectly. Always compute aggregate shares before valuing each share.

Final Answer: Rs. 190