Question

An air conditioner (AC) company has four dealers - D1, D2, D3 and D4 in a city. It is evaluating sales performances of these dealers. The company sells two variants of ACs Window and Split. Both these variants can be either Inverter type or Non-inverter type. It is known that of the total number of ACs sold in the city, 25% were of Window variant, while the rest were of Split variant. Among the Inverter ACs sold, 20% were of Window variant. 
The following information is also known: 
1. Every dealer sold at least two window ACs. 
2. D1 sold 13 inverter ACs, while D3 sold 5 Non-inverter ACs. 
3. A total of six Window Non-inverter ACs and 36 Split Inverter ACs were sold in the city. 4. The number of Split ACs sold by D1 was twice the number of Window ACs sold by it. 5. D3 and D4 sold an equal number of Window ACs and this number was one-third of the number of similar ACs sold by D2. 
4. D2 and D3 were the only ones who sold Window Non-inverter ACs. The number of these ACs sold by D2 was twice the number of these ACs sold by D3. 
5. D3 and D4 sold an equal number of Split Inverter ACs. This number was half the number of similar ACs sold by D2
What was the total number of ACs sold by D2 and D4? (This Question was asked as TITA)

• A. 33 AC's
• B. 39 AC's
• C. 42 AC's
• D. 28 AC's

Answer 1

The Correct Option is A

To determine the total number of ACs sold by D2 and D4, we will use the previously calculated values and the given conditions.
Total Window ACs Sold:
D2 sold 9 Window ACs (as it sold 3 times the number of Window ACs sold by D3 and D4, who each sold 3).
D4 sold 3 Window ACs.
Split Inverter ACs Sold:
D2 sold 14 Split Inverter ACs (as determined previously).
D4 sold 7 Split Inverter ACs (since it sold half the number of Split Inverter ACs sold by D2).
Other Types of ACs:
D2 sold 4 Window Non-Inverter ACs.
D4 sold no Window Non-Inverter ACs.
D4 sold only 2 Window Inverter ACs.
Now, summing up the totals for D2 and D4:
D2
Window Inverter ACs: 9−4=59−4=5
Window Non-Inverter ACs: 4
Split Inverter ACs: 14
Split Non-Inverter ACs: 60−15=45−36=960−15=45−36=9
Total: 5+4+14+9=325+4+14+9=32
D4
Window Inverter ACs: 0
Window Non-Inverter ACs: 3
Split Inverter ACs: 7
Split Non-Inverter ACs: 2
Total: 0+3+7+2=120+3+7+2=12
The sum of the ACs sold by D2 and D4: 32+12=3332+12=33
Thus, the total number of ACs sold by D2 and D4 is 33 ACs