Ankita buys 4 kg cashews, 14 kg peanuts and 6 kg almonds when the cost of 7 kg cashews is the same as that of 30 kg peanuts or 9 kg almonds. She mixes all the three nuts and marks a price for the mixture in order to make a profit of ₹1752. She sells 4 kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744. Then the amount, in rupees, that she had spent in buying almonds is

Solution

It is given,

7C = 30P = 9A and Ankita bought 4C, 14P and 6A.

Let 7C = 30P = 9A = 630k

C = 90k, P = 21k, and A = 70k

Cost price of 4C, 14P and 6A = 4(90k)+14(21k)+6(70k) = 1074k

Marked up price = 1074k + 1752

S.P = $$\frac{1}{6}\left(1074k+1752\right)+\left(\frac{4}{5}\right)\left(\frac{5}{6}\right)\left(1074k+1752\right)$$ = $$\frac{5}{6}\left(1074k+1752\right)$$

S.P - C.P = profit

$$1460-\frac{1074k}{6}=744$$

$$\frac{1074k}{6}=716$$

k = 4

Money spent on buying almonds = 420k = 420*4 = Rs 1680

The answer is option A.

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Comments

Riya Gulati

3 months ago

from where did the 4296 came?

Ajith

1 week, 6 days ago

S= 252
24s - 1752 =
24*252 - 1752 = 4296

Pulom Gupta

2 months, 3 weeks ago

1074*4

Archana Lavanya

5 months ago

Hw did u get 90x, 21x,70x

Justforwork Work

2 weeks, 5 days ago

he equated 7C = 30P = 9A to 630x. soo 7C = 630x which is equal to 90x, 30p = 630x which is equal to 21x, and similarly for 9A = 630 x which is 70x

Charul Chandwani

4 months, 3 weeks ago

In the second equation that has been created is taking into consideration the cp of the total while we are talking about and profit of the remaining 20 kgs only. why so?