A student instead of finding the value of $8^ 3$ of a natural number, calculated $8^ 13$ of the same number. If his value is 480 less than the actual value, then find the number

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2 .

The simple interest and compound interest on a certain sum for 2 years are Rs. 700 and Rs. 770 respectively. Find the rate of interest

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3 .

If the marked price of a article is 40% more than the cost price and a discount of 20% is gives on it, then the percentage profit is

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4 .

Find the value of (6.23 $\times$ 6.23 $\times$ 6.23 + 33 $\times$ 6.23 $\times$ 4.77+ 4.77$\times$ 4.77$\times$ 4.77)

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5 .

The ratio of expense and savings of Ram is 5 : 6. What will be the percentage increment in the expenses so that ratio of expense and saving 6 : 5 ?

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6 .

A shopkeeper marks the garments at such a price that even after allowing a discount of 12.5%, he makes a profit of 10%. Find the marked price of a suit which costs Rs. 1,470

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7 .

The average age of 3 students is 15 years and their ages are in the proportion 2 : 3 : 4. The age of eldest student is

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8 .

A train running at an average speed of 48 km/hr performs a journey in 6 hrs 30 min. How long would the same journey take it after crossing 180 kms the speed was reduced to 33 km/hr ?

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9 .

A sum of Rs. 76 is divided among A, B, C in such a way that A gets Rs. 7 more than that what B gets and B gets Rs. 6 more than what C gets. the ratio of their shares is

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10 .

If x= $k^ 3$ - $3k^ 2$ and y= 1 - 3k, then for what value of k, will be x= y?

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