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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:


10,  60


10,  70


10, 80


None of these

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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 \(\left(a+\dfrac{c}{2}\right)\) $0$ $\dfrac{c}{2}+30$


\(\Rightarrow c=24\)

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


$⇒ a=38$

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