The Data
The following table shows 10% of the number of Design courses sold and one-fourth (¼) of the number of Coding courses sold by four online platforms Alpha, Beta, Gamma and Delta, along with the ratio of the number of Design to Marketing courses sold. Based on the data, answer the questions that follow.
निम्न तालिका चार ऑनलाइन प्लेटफ़ॉर्म Alpha, Beta, Gamma और Delta द्वारा बेचे गए डिज़ाइन (Design) कोर्स की संख्या का 10% और बेचे गए कोडिंग (Coding) कोर्स की संख्या का एक-चौथाई (¼) दर्शाती है, साथ ही बेचे गए डिज़ाइन और मार्केटिंग (Marketing) कोर्स की संख्या का अनुपात भी दर्शाती है।
- The total number of Design, Coding and Marketing courses sold by Alpha is 1400.
- The ratio of the number of Design to Marketing courses sold by Beta is 7 : 4.
- For Gamma, the number of Design courses sold is three times the number of Marketing courses sold.
- Some values are missing in the table that you are expected to compute, if needed.
Reference Table
| Platform | 10% of the number of Design courses sold | ¼ of the number of Coding courses sold | Ratio of Design to Marketing courses sold |
|---|---|---|---|
| Alpha | 50 | – | 5 : 6 |
| Beta | 70 | 110 | – |
| Gamma | – | 130 | – |
| Delta | 80 | 140 | 8 : 5 |
Questions
Mark your choice for each — answers stay hidden until you reveal them.
For Beta, the number of Coding and Marketing courses sold together is _____ % more than the number of Design courses sold.
Beta के लिए, बेचे गए कोडिंग और मार्केटिंग कोर्स की कुल संख्या, बेचे गए डिज़ाइन कोर्स की संख्या से _____% अधिक है।
What is the ratio of the number of Marketing courses sold by Beta to the number of Marketing courses sold by Delta?
Beta द्वारा बेचे गए मार्केटिंग कोर्स की संख्या का Delta द्वारा बेचे गए मार्केटिंग कोर्स की संख्या से अनुपात क्या है?
If the average number of Coding and Marketing courses sold by Gamma is 380, then what is the average number of Design and Coding courses sold by Gamma?
यदि Gamma द्वारा बेचे गए कोडिंग और मार्केटिंग कोर्स की औसत संख्या 380 है, तो Gamma द्वारा बेचे गए डिज़ाइन और कोडिंग कोर्स की औसत संख्या क्या है?
In Alpha, if the number of Webinars sold is 140% of the average number of Marketing and Design courses sold, then what is the difference between the number of Webinars and Coding courses sold?
Alpha में, यदि बेचे गए वेबिनार की संख्या, बेचे गए मार्केटिंग और डिज़ाइन कोर्स की औसत संख्या का 140% है, तो बेचे गए वेबिनार और कोडिंग कोर्स की संख्या के बीच क्या अंतर है?
The total number of Design and Coding courses sold by Alpha is _____ more than the number of Coding courses sold by Delta.
Alpha द्वारा बेचे गए डिज़ाइन और कोडिंग कोर्स की कुल संख्या, Delta द्वारा बेचे गए कोडिंग कोर्स 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: Design = (10% column) × 10, Coding = (¼ column) × 4, and Marketing from the Design : Marketing ratio.
- Alpha: Design = 50×10 = 500; ratio 5:6 → Marketing = 500×6/5 = 600; total 1400 → Coding = 1400−500−600 = 300.
- Beta: Design = 70×10 = 700; Coding = 110×4 = 440; ratio 7:4 → Marketing = 700×4/7 = 400.
- Gamma: Coding = 130×4 = 520; Design = 3 × Marketing (Note 3) — pinned in Q3.
- Delta: Design = 80×10 = 800; Coding = 140×4 = 560; ratio 8:5 → Marketing = 800×5/8 = 500.
Beta: Coding + Marketing = 440 + 400 = 840; Design = 700. Percentage more = (840 − 700) ÷ 700 × 100 = 20%.
Marketing: Beta = 400, Delta = 500. Ratio = 400 : 500 = 4 : 5.
Average of Coding & Marketing for Gamma = 380 → their sum = 760 → Marketing = 760 − 520 = 240. By Note 3, Design = 3×240 = 720. Required average of Design & Coding = (720 + 520) ÷ 2 = 620.
Alpha: average of Marketing & Design = (600 + 500) ÷ 2 = 550. Webinars = 140% × 550 = 770. Difference from Coding (300) = 770 − 300 = 470.
Alpha: Design + Coding = 500 + 300 = 800. Coding of Delta = 560. Difference = 800 − 560 = 240.