Shovik purchases two types of sugar the first type at Rs 45 per kg and the second type at Rs 80 per ...........

Quantitative Aptitude (CHSL) Profit and loss

Shovik purchases two types of sugar: the first type at Rs.45 per kg and the second type at Rs.80 per kg. In what ratio should

Shovik blend the first type of sugar with the second type so that, by selling each kg of the blended sugar at Rs.72 per kg, he

makes a profit of 20%?

This questions was previously asked in

SSC CHSL 24th May 2022 Shift-2

View All SSCCHSL Previous Year Papers

4 : 3

3 : 4

5 : 4

3 : 2

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Explanation:

Correct Option is 1: 4:3

Given:
Cost of first variety = Rs. 45/kg
Cost of the second variety = Rs. 80/kg
The selling price of the mixture= Rs. 72/kg
Profit%=20%
Formula used:
(Quantity of cheaper/Quantity of dearer) = [(Cost price of dearer) - (Mean price)]/[(Mean price) - (Cost price of cheaper)]
Calculations:
Let the mean price of the mixture be Rs. x/kg and the ratio of the two varieties be R
72 = (120/100) x X
=6X= 360
⇒X=360/6 = Rs. 60/kg
Using the concept,
R = (80-60)/(60 - 45)
⇒ R = 20/15
⇒ R = 4/3 = 4:3
:. The ratio in which the two varieties must be mixed is 4: 3.