The Data
The following table shows one-fifth (⅕) of the number of Coffees sold and half of the number of Teas sold by four cafés K, L, M and N, along with the ratio of the number of Coffees to Smoothies sold. Based on the data, answer the questions that follow.
निम्न तालिका चार कैफ़े K, L, M और N द्वारा बेची गई कॉफ़ी (Coffees) की संख्या का एक-पाँचवाँ (⅕) और बेची गई चाय (Teas) की संख्या का आधा दर्शाती है, साथ ही बेची गई कॉफ़ी और स्मूदी (Smoothies) की संख्या का अनुपात भी दर्शाती है।
- The total number of Coffees, Teas and Smoothies sold by café K is 1650.
- The ratio of the number of Coffees to Smoothies sold by L is 3 : 2.
- For café M, the number of Coffees sold is four times the number of Smoothies sold.
- Some values are missing in the table that you are expected to compute, if needed.
Reference Table
| Café | ⅕ of the number of Coffees sold | Half of the number of Teas sold | Ratio of Coffees to Smoothies sold |
|---|---|---|---|
| K | 150 | – | 5 : 4 |
| L | 120 | 175 | – |
| M | – | 280 | – |
| N | 180 | 250 | 9 : 5 |
Questions
Mark your choice for each — answers stay hidden until you reveal them.
For café L, the number of Teas and Smoothies sold together is _____ % more than the number of Coffees sold.
कैफ़े L के लिए, बेची गई चाय और स्मूदी की कुल संख्या, बेची गई कॉफ़ी की संख्या से _____% अधिक है।
What is the ratio of the number of Smoothies sold by café K to the number of Smoothies sold by café N?
कैफ़े K द्वारा बेची गई स्मूदी की संख्या का कैफ़े N द्वारा बेची गई स्मूदी की संख्या से अनुपात क्या है?
If the average number of Teas and Smoothies sold by café M is 400, then what is the average number of Coffees and Teas sold by café M?
यदि कैफ़े M द्वारा बेची गई चाय और स्मूदी की औसत संख्या 400 है, तो कैफ़े M द्वारा बेची गई कॉफ़ी और चाय की औसत संख्या क्या है?
In café K, if the number of Iced Drinks sold is 120% of the average number of Smoothies and Coffees sold, then what is the difference between the number of Iced Drinks and Teas sold?
कैफ़े K में, यदि बेची गई आइस्ड ड्रिंक्स की संख्या, बेची गई स्मूदी और कॉफ़ी की औसत संख्या का 120% है, तो बेची गई आइस्ड ड्रिंक्स और चाय की संख्या के बीच क्या अंतर है?
The total number of Coffees and Teas sold by café K is _____ more than the number of Teas sold by café N.
कैफ़े K द्वारा बेची गई कॉफ़ी और चाय की कुल संख्या, कैफ़े N द्वारा बेची गई चाय 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: Coffees = (⅕ column) × 5, Teas = (half column) × 2, and Smoothies from the Coffees : Smoothies ratio.
- K: Coffees = 150×5 = 750; ratio 5:4 → Smoothies = 750×4/5 = 600; total 1650 → Teas = 1650−750−600 = 300.
- L: Coffees = 120×5 = 600; Teas = 175×2 = 350; ratio 3:2 → Smoothies = 600×2/3 = 400.
- M: Teas = 280×2 = 560; Coffees = 4 × Smoothies (Note 3) — pinned in Q3.
- N: Coffees = 180×5 = 900; Teas = 250×2 = 500; ratio 9:5 → Smoothies = 900×5/9 = 500.
Café L: Teas + Smoothies = 350 + 400 = 750; Coffees = 600. Percentage more = (750 − 600) ÷ 600 × 100 = 25%.
Smoothies: K = 600, N = 500. Ratio = 600 : 500 = 6 : 5.
Average of Teas & Smoothies for M = 400 → their sum = 800 → Smoothies = 800 − 560 = 240. By Note 3, Coffees = 4×240 = 960. Required average of Coffees & Teas = (960 + 560) ÷ 2 = 760.
Café K: average of Smoothies & Coffees = (600 + 750) ÷ 2 = 675. Iced Drinks = 120% × 675 = 810. Difference from Teas (300) = 810 − 300 = 510.
Café K: Coffees + Teas = 750 + 300 = 1050. Teas of N = 500. Difference = 1050 − 500 = 550.