Difficult Algebra Solved QuestionAptitude Discussion

 Q. Kartik's mother asked him to get the vegetables, milk and butter from the market and gave him the money in the denominator of 1 Rupee, 2 Rupee and 5 Rupee coins. Kartik first goes to the grocery shop to buy vegetables. At the grocery shop he gives half of his 5 Rupee coins in return receives the same number of 1 Rupee coins. Next he goes to the dairy shop to buy milk and butter and gives all 2 Rupee coins and in return get thirty 5 Rupee coins, which increase the number of five rupee coins by $75%$ more than the original number. If the number of 1 rupee coins now is 50, the number of 1 rupee and 5 rupee coins originally were:
 ✖ A. 10,  60 ✖ B. 10,  70 ✖ C. 10, 80 ✔ D. None of these

Solution:
Option(D) is correct

Table below can be scrolled horizontally

 One rupee coins 2 rupees coins 5 rupees coins Initially (a) $B$ $C$ After grocery shop $\left(a+\dfrac{c}{2}\right)$ $B$ $\dfrac{c}{2}$ After dairy shop $\left(a+\dfrac{c}{2}\right)$ $0$ $\dfrac{c}{2}+30$

$\dfrac{c}{2}+30=\dfrac{7c}{4}$

$\Rightarrow c=24$

Number of one rupee coins are: $= a+12$

$a+12=50$

$⇒ a=38$

(3) Comment(s)

ABHIJEET
()

according to the solution...there is a mistake in the question...it should say 75% instead of 75..correct it or change the question

Surabhi Mondal
()

how does 7c/4 or even 3c/4 comes????

Pratima
()

why 7/4*c i think it should be 3/4*c.. Am i correct please someone tell me!