The following table shows the total number of air-cooling devices consisting…
2025
The following table shows the total number of air-cooling devices consisting of ACs, Coolers and Fans that were sold by six different stores (A–F), along with the ratio among these devices and the selling price (₹) of these devices per unit. Based on the data in the table, answer the questions that follow.
Store-wise details of air cooling devices
Store | Total Number of Devices Sold | Ratio of Devices AC : Cooler : Fan | Selling Price Per Unit (₹) AC | Cooler | Fan |
|---|---|---|---|---|---|
A | 1250 | 4 : 5 : 1 | 14000 | 4000 | 750 |
B | 450 | 3 : 2 : 4 | 15000 | 4500 | 800 |
C | 850 | 6 : 4 : 7 | 16000 | 5000 | 850 |
D | 900 | 4 : 2 : 3 | 17000 | 5500 | 900 |
E | 1000 | 5 : 1 : 4 | 18000 | 6000 | 950 |
F | 605 | 2 : 4 : 5 | 19000 | 6500 | 1000 |
What was the total income earned by Store C ?
Answer: C. ₹ 60.975 Lakh — CONCEPTWhen a total T is divided in the ratio a : b : c, each category count is T multiplied by its ratio part and divided by a + b + c. Total income is the…
- A.
₹ 55.925 Lakh
- B.
₹ 48.725 Lakh
- C.
₹ 60.975 Lakh
- D.
₹ 52.875 Lakh
Show answer & explanation
Correct answer: C
CONCEPT
When a total T is divided in the ratio a : b : c, each category count is T multiplied by its ratio part and divided by a + b + c. Total income is the sum of each category count multiplied by its unit selling price.
APPLICATION
The ratio total for Store C is 6 + 4 + 7 = 17.
ACs sold = 850 × 6/17 = 300; coolers sold = 850 × 4/17 = 200; fans sold = 850 × 7/17 = 350.
Income from ACs = 300 × ₹16,000 = ₹48,00,000; income from coolers = 200 × ₹5,000 = ₹10,00,000; income from fans = 350 × ₹850 = ₹2,97,500.
Total income = ₹48,00,000 + ₹10,00,000 + ₹2,97,500 = ₹60,97,500 = ₹60.975 lakh.
CROSS-CHECK
The category counts add to 300 + 200 + 350 = 850, which matches Store C’s total. The three income components also add to ₹60,97,500.
RESULT
Store C earned ₹60.975 lakh in total.