Two types of tea are mixed. The first type costs ₹18 per kg and the second type costs ₹20 per kg. In what ratio should these be mixed so that by selling the mixture at ₹21 per kg, a profit of 10% is gained?
Two types of tea are mixed. The first type costs ₹18 per kg and the second type costs ₹20 per kg. In what ratio should these be mixed so that by selling the mixture at ₹21 per kg, a profit of 10% is gained?
दो प्रकार की चाय को मिलाया जाता हैं। पहली प्रकार की चाय की कीमत ₹18 प्रति किलोग्राम है और दूसरी प्रकार की चाय की कीमत ₹20 प्रति किलोग्राम हैं। इन्हें किस अनुपात में मिलाया जाना चाहिए ताकि मिश्रण को ₹21 प्रति किलोग्रम पर बेचने पर 10% का लाभ प्राप्त हो?
Detailed Solution & Logic
5 : 6
Selling price $= 21$ per kg and profit $= 10%$
Cost price of mixture:
$ \text{CP} = \dfrac{21}{1.10} = 19.09 $
Using alligation:
Cheaper tea $= 18$
Costlier tea $= 20$
Mean price $= 19.09$
Ratio:
$20 - 19.09 = 0.91$
$19.09 - 18 = 1.09$
Required ratio:
$18 : 20 = 0.91 : 1.09 \approx 5 : 6$
Similar Practice Questions
The population of a district is 385000, out of which 168000 are males. 52% of the population is literate. If 21% males are literate, then what percentage of females are literate?
The population of a district is 385000, out of which 168000 are males. 52% of...
If the cost price of a camera is 75%
If the cost price of a camera is 75% of its selling price, then the...
Five years ago, the ratio of Priya’s age
Five years ago, the ratio of Priya’s age to Meera’s age was 3 : 2....
If m and n are positive integers and (m -n) is an even number, then (m^2 – n^2) will always be divisible by:
If m and n are positive integers and (m -n) is an even number, then...
A number r when divided by 8 leaves remainder 3. What will be the remainder when $ (r ^ 2 + 6r + 7) $ is divided by 8?
A number r when divided by 8 leaves remainder 3. What will be the remainder...
A farmer’s land is two adjoining trapezoids: T1 with bases 70m & 50m, height 20m; T2 with bases 50m & 30m, height 15 m. Land costs ₹60/ $m^2$. What is the total land cost?
A farmer’s land is two adjoining trapezoids: T1 with bases 70m & 50m, height 20m; ...
A train covers three equal distances at speeds in the ratio 4 : 5 : 6. What is the ratio of its average speed to its minimum speed over the entire journey?
A train covers three equal distances at speeds in the ratio 4 : 5 :...