The Data
The following table shows half of the number of Sedans sold and 40% of the number of SUVs sold by four car showrooms E, F, G and H, along with the ratio of the number of Sedans to Hatchbacks sold. Based on the data, answer the questions that follow.
निम्न तालिका चार कार शोरूम E, F, G और H द्वारा बेची गई सेडान (Sedans) की संख्या का आधा और बेची गई SUVs की संख्या का 40% दर्शाती है, साथ ही बेची गई सेडान और हैचबैक (Hatchbacks) की संख्या का अनुपात भी दर्शाती है।
- The total number of Sedans, SUVs and Hatchbacks sold by showroom E is 1000.
- The ratio of the number of Sedans to Hatchbacks sold by F is 6 : 5.
- For showroom G, the number of Sedans sold is twice the number of Hatchbacks sold.
- Some values are missing in the table that you are expected to compute, if needed.
Reference Table
| Showroom | Half of the number of Sedans sold | 40% of the number of SUVs sold | Ratio of Sedans to Hatchbacks sold |
|---|---|---|---|
| E | 200 | – | 4 : 3 |
| F | 270 | 140 | – |
| G | – | 200 | – |
| H | 300 | 160 | 4 : 5 |
Questions
Mark your choice for each — answers stay hidden until you reveal them.
For showroom E, the number of SUVs and Hatchbacks sold together is _____ % more than the number of Sedans sold.
शोरूम E के लिए, बेची गई SUV और हैचबैक की कुल संख्या, बेची गई सेडान की संख्या से _____% अधिक है।
What is the ratio of the number of Hatchbacks sold by showroom F to the number of Hatchbacks sold by showroom H?
शोरूम F द्वारा बेची गई हैचबैक की संख्या का शोरूम H द्वारा बेची गई हैचबैक की संख्या से अनुपात क्या है?
If the average number of SUVs and Hatchbacks sold by showroom G is 400, then what is the average number of Sedans and SUVs sold by showroom G?
यदि शोरूम G द्वारा बेची गई SUV और हैचबैक की औसत संख्या 400 है, तो शोरूम G द्वारा बेची गई सेडान और SUV की औसत संख्या क्या है?
In showroom E, if the number of Electric Cars sold is 120% of the average number of Hatchbacks and Sedans sold, then what is the difference between the number of Electric Cars and SUVs sold?
शोरूम E में, यदि बेची गई इलेक्ट्रिक कारों की संख्या, बेची गई हैचबैक और सेडान की औसत संख्या का 120% है, तो बेची गई इलेक्ट्रिक कारों और SUV की संख्या के बीच क्या अंतर है?
The total number of Sedans and SUVs sold by showroom F is _____ more than the number of SUVs sold by showroom H.
शोरूम F द्वारा बेची गई सेडान और SUV की कुल संख्या, शोरूम H द्वारा बेची गई SUV की संख्या से _____ अधिक है।
Tip: try all questions first, then check the full worked approach below.
Answer Key & Solution Approach
Step 0 — Decode the table (recover the real figures)
Recover the real figures: Sedans = (half column) × 2, SUVs = (40% column) × 2.5, and Hatchbacks from the Sedans : Hatchbacks ratio.
- E: Sedans = 200×2 = 400; ratio 4:3 → Hatchbacks = 400×3/4 = 300; total 1000 → SUVs = 1000−400−300 = 300.
- F: Sedans = 270×2 = 540; SUVs = 140×2.5 = 350; ratio 6:5 → Hatchbacks = 540×5/6 = 450.
- G: SUVs = 200×2.5 = 500; Sedans = 2 × Hatchbacks (Note 3) — pinned in Q3.
- H: Sedans = 300×2 = 600; SUVs = 160×2.5 = 400; ratio 4:5 → Hatchbacks = 600×5/4 = 750.
Showroom E: SUVs + Hatchbacks = 300 + 300 = 600; Sedans = 400. Percentage more = (600 − 400) ÷ 400 × 100 = 50%.
Hatchbacks: F = 450, H = 750. Ratio = 450 : 750 = 3 : 5.
Average of SUVs & Hatchbacks for G = 400 → their sum = 800 → Hatchbacks = 800 − 500 = 300. By Note 3, Sedans = 2×300 = 600. Required average of Sedans & SUVs = (600 + 500) ÷ 2 = 550.
Showroom E: average of Hatchbacks & Sedans = (300 + 400) ÷ 2 = 350. Electric Cars = 120% × 350 = 420. Difference from SUVs (300) = 420 − 300 = 120.
Showroom F: Sedans + SUVs = 540 + 350 = 890. SUVs of H = 400. Difference = 890 − 400 = 490.