If the price of 6 identical toys is Rs. 264.37, what will be the approximate total price of 5 such toys (rounded to a convenient whole rupee value)?

Introduction:
This question tests basic direct proportion and unit price calculation, which is a fundamental concept in arithmetic and commercial aptitude. We know the total cost for 6 toys, and we need to estimate the cost for 5 toys of the same type at the same rate, giving an approximate value in rupees.

Given Data / Assumptions:
Total price for 6 toys = Rs. 264.37. All toys are identical and have the same price. We need the approximate price of 5 toys. Rounding to a user friendly whole rupee answer is acceptable.

Concept / Approach:
When items are identical, total price is proportional to the number of items. First find the price of 1 toy by dividing the total amount by 6. Then multiply this unit price by 5 to get the cost of 5 toys. Finally, round the result to the nearest convenient rupee amount and match it with the options.

Step-by-Step Solution:
Step 1: Compute the price of 1 toy. Price per toy = 264.37 / 6. 264.37 / 6 ≈ 44.06 rupees per toy. Step 2: Compute the price of 5 toys. Price for 5 toys = 44.06 * 5. 44.06 * 5 ≈ 220.3 rupees. Step 3: Approximate to the nearest useful rupee. 220.3 rupees is very close to Rs. 220. Therefore, the approximate price of 5 toys is Rs. 220.

Verification / Alternative check:
We can back check by finding the cost of 10 toys at this approximate rate. If 1 toy is roughly Rs. 44, 10 toys would cost about Rs. 440. Since 6 toys cost about Rs. 264 (6 * 44), this is consistent with the given Rs. 264.37. This confirms that our approximation is reasonable and that Rs. 220 is a sensible estimate for 5 toys.

Why Other Options Are Wrong:
Rs. 120 and Rs. 100 are far too low. They imply a unit price of around Rs. 24 or Rs. 20, which contradicts the given data. Rs. 200 is closer but still underestimates the cost by about Rs. 20, which is a significant error compared to the actual calculation. Rs. 180 is also too low and inconsistent with the unit price of approximately Rs. 44.

Common Pitfalls:
A frequent mistake is to perform proportional reasoning incorrectly, such as scaling down the price linearly without first finding the unit price, or rounding too early in the calculation. Another error is misreading the data and thinking 264.37 is the price for a different number of toys. Always identify the per unit cost first and then scale up or down as required.

Final Answer:
The approximate total cost of 5 toys is Rs. 220.